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103411314233244 = 223279109443753023
BaseRepresentation
bin10111100000110101010010…
…101001101000111110011100
3111120011000200021212202221100
4113200311102221220332130
5102023242332420430434
61003534300225433100
730532135524533163
oct2740652251507634
9446130607782840
10103411314233244
112aa4a545a59136
12b72197ba9b790
134591850350c44
141b771c47b83da
15be4e73d6c699
hex5e0d52a68f9c

103411314233244 has 144 divisors (see below), whose sum is σ = 267741598924800. Its totient is φ = 33645697667712.

The previous prime is 103411314233233. The next prime is 103411314233327. The reversal of 103411314233244 is 442332413114301.

103411314233244 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 1 + 314 + 2 + 332 + 4 + 4 = 666.

It is a super-2 number, since 2×1034113142332442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103411314233199 and 103411314233208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136951717 + ... + 137704739.

It is an arithmetic number, because the mean of its divisors is an integer number (1859316659200).

Almost surely, 2103411314233244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103411314233244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133870799462400).

103411314233244 is an abundant number, since it is smaller than the sum of its proper divisors (164330284691556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103411314233244 is a wasteful number, since it uses less digits than its factorization.

103411314233244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753664 (or 753659 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 103411314233244 its reverse (442332413114301), we get a palindrome (545743727347545).

The spelling of 103411314233244 in words is "one hundred three trillion, four hundred eleven billion, three hundred fourteen million, two hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 109 158 218 237 316 327 436 443 474 654 711 886 948 981 1308 1329 1422 1772 1962 2658 2844 3924 3987 5316 7974 8611 15948 17222 25833 34444 34997 48287 51666 69994 77499 96574 103332 104991 139988 144861 154998 193148 209982 289722 309996 314973 419964 434583 579444 629946 753023 869166 1259892 1506046 1738332 2259069 3012092 3814673 4518138 6777207 7629346 9036276 11444019 13554414 15258692 22888038 27108828 34332057 45776076 59488817 68664114 82079507 118977634 137328228 164159014 178466451 237955268 246238521 328318028 333589189 356932902 492477042 535399353 667178378 713865804 738715563 984954084 1000767567 1070798706 1334356756 1477431126 2001535134 2141597412 2954862252 3002302701 4003070268 6004605402 6484281053 12009210804 12968562106 19452843159 25937124212 26353545931 36361221601 38905686318 52707091862 58358529477 72722443202 77811372636 79060637793 105414183724 109083664803 116717058954 145444886404 158121275586 218167329606 233434117908 237181913379 316242551172 327250994409 436334659212 474363826758 654501988818 948727653516 1309003977636 2872536506479 5745073012958 8617609519437 11490146025916 17235219038874 25852828558311 34470438077748 51705657116622 103411314233244