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103115342232320 = 2851115234808623
BaseRepresentation
bin10111011100100001101001…
…010110000011101100000000
3111112002201201111100022011012
4113130201221112003230000
5102003420210102413240
61003150311222340052
730501560210200205
oct2734415126035400
9445081644308135
10103115342232320
112a945a7552a1a0
12b69453b58a628
13456c972b98052
141b66b485d7cac
15bdc400114b65
hex5dc869583b00

103115342232320 has 144 divisors (see below), whose sum is σ = 269624394772992. Its totient is φ = 37471860142080.

The previous prime is 103115342232317. The next prime is 103115342232337. The reversal of 103115342232320 is 23232243511301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19039529 + ... + 23848151.

It is an arithmetic number, because the mean of its divisors is an integer number (1872391630368).

Almost surely, 2103115342232320 is an apocalyptic number.

103115342232320 is a gapful number since it is divisible by the number (10) 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 103115342232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134812197386496).

103115342232320 is an abundant number, since it is smaller than the sum of its proper divisors (166509052540672).

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

103115342232320 is a wasteful number, since it uses less digits than its factorization.

103115342232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810178 (or 4810164 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 103115342232320 its reverse (23232243511301), we get a palindrome (126347585743621).

The spelling of 103115342232320 in words is "one hundred three trillion, one hundred fifteen billion, three hundred forty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1523 1760 2816 3046 3520 6092 7040 7615 12184 14080 15230 16753 24368 30460 33506 48736 60920 67012 83765 97472 121840 134024 167530 194944 243680 268048 335060 389888 487360 536096 670120 974720 1072192 1340240 1949440 2144384 2680480 4288768 4808623 5360960 9617246 10721920 19234492 21443840 24043115 38468984 48086230 52894853 76937968 96172460 105789706 153875936 192344920 211579412 264474265 307751872 384689840 423158824 528948530 615503744 769379680 846317648 1057897060 1231007488 1538759360 1692635296 2115794120 3077518720 3385270592 4231588240 6155037440 6770541184 7323532829 8463176480 13541082368 14647065658 16926352960 29294131316 33852705920 36617664145 58588262632 67705411840 73235328290 80558861119 117176525264 146470656580 161117722238 234353050528 292941313160 322235444476 402794305595 468706101056 585882626320 644470888952 805588611190 937412202112 1171765252640 1288941777904 1611177222380 1874824404224 2343530505280 2577883555808 3222354444760 4687061010560 5155767111616 6444708889520 9374122021120 10311534223232 12889417779040 20623068446464 25778835558080 51557671116160 103115342232320