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103042131102 = 233191812292423
BaseRepresentation
bin101111111110111001…
…0100010010010011110
3100211222011221121121000
41133331302202102132
53142012241143402
6115200434251130
710305323443251
oct1377562422236
9324864847530
10103042131102
113a777662239
1217b78726aa6
139941b55811
144db70b3098
152a31351c1c
hex17fdca249e

103042131102 has 128 divisors (see below), whose sum is σ = 243524736000. Its totient is φ = 32205237120.

The previous prime is 103042131089. The next prime is 103042131107. The reversal of 103042131102 is 201131240301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042131107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42525463 + ... + 42527885.

It is an arithmetic number, because the mean of its divisors is an integer number (1902537000).

Almost surely, 2103042131102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103042131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121762368000).

103042131102 is an abundant number, since it is smaller than the sum of its proper divisors (140482604898).

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

103042131102 is a wasteful number, since it uses less digits than its factorization.

103042131102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103042131102 its reverse (201131240301), we get a palindrome (304173371403).

The spelling of 103042131102 in words is "one hundred three billion, forty-two million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 181 229 342 362 458 513 543 687 1026 1086 1374 1629 2061 2423 3258 3439 4122 4351 4846 4887 6183 6878 7269 8702 9774 10317 12366 13053 14538 20634 21807 26106 30951 39159 41449 43614 46037 61902 65421 78318 82898 92074 92853 117477 124347 130842 138111 185706 234954 248694 276222 373041 414333 438563 554867 746082 787531 828666 877126 1109734 1119123 1242999 1315689 1575062 1664601 2238246 2362593 2485998 2631378 3329202 3947067 4725186 4993803 7087779 7894134 8332697 9987606 10542473 11841201 14175558 14981409 16665394 21084946 21263337 23682402 24998091 29962818 31627419 42526674 49996182 63254838 74994273 94882257 100430927 149988546 189764514 200861854 224982819 284646771 301292781 449965638 569293542 602585562 903878343 1807756686 1908187613 2711635029 3816375226 5423270058 5724562839 11449125678 17173688517 34347377034 51521065551 103042131102