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103111120332 = 2232113137227011
BaseRepresentation
bin110000000000111100…
…1101101010111001100
3100212010222202122000200
41200001321231113030
53142132421322312
6115211341053500
710310122030113
oct1400171552714
9325128678020
10103111120332
113a8025a2930
1217b97857290
13995322c24c
144dc2310c7a
152a3742d0dc
hex1801e6d5cc

103111120332 has 144 divisors (see below), whose sum is σ = 301442878464. Its totient is φ = 29420496000.

The previous prime is 103111120327. The next prime is 103111120337. The reversal of 103111120332 is 233021111301.

103111120332 is a `hidden beast` number, since 1 + 0 + 311 + 1 + 1 + 20 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (103111120327) and next prime (103111120337).

It is a super-2 number, since 2×1031111203322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103111120337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340707 + ... + 567717.

Almost surely, 2103111120332 is an apocalyptic number.

103111120332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103111120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150721439232).

103111120332 is an abundant number, since it is smaller than the sum of its proper divisors (198331758132).

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

103111120332 is a wasteful number, since it uses less digits than its factorization.

103111120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227100 (or 227095 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103111120332 its reverse (233021111301), we get a palindrome (336132231633).

The spelling of 103111120332 in words is "one hundred three billion, one hundred eleven million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 37 44 62 66 74 93 99 111 124 132 148 186 198 222 279 333 341 372 396 407 444 558 666 682 814 1023 1116 1147 1221 1332 1364 1628 2046 2294 2442 3069 3441 3663 4092 4588 4884 6138 6882 7326 10323 12276 12617 13764 14652 20646 25234 37851 41292 50468 75702 113553 151404 227011 227106 454022 454212 681033 908044 1362066 2043099 2497121 2724132 4086198 4994242 7037341 7491363 8172396 8399407 9988484 14074682 14982726 16798814 21112023 22474089 25198221 28149364 29965452 33597628 42224046 44948178 50396442 63336069 75594663 77410751 84448092 89896356 92393477 100792884 126672138 151189326 154821502 184786954 232232253 253344276 260381617 277180431 302378652 309643004 369573908 464464506 520763234 554360862 696696759 781144851 831541293 928929012 1041526468 1108721724 1393393518 1562289702 1663082586 2343434553 2786787036 2864197787 3124579404 3326165172 4686869106 5728395574 8592593361 9373738212 11456791148 17185186722 25777780083 34370373444 51555560166 103111120332