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113011314102 = 23310131636551
BaseRepresentation
bin110100100111111111…
…1111100110110110110
3101210200221201120202000
41221033333330312312
53322421344022402
6123530000400130
711110345214601
oct1511777746666
9353627646660
10113011314102
1143a22a38a55
1219a9b316046
13a87034317b
1456810d3338
152e16673c1c
hex1a4fffcdb6

113011314102 has 64 divisors (see below), whose sum is σ = 253741662720. Its totient is φ = 37279980000.

The previous prime is 113011314083. The next prime is 113011314107. The reversal of 113011314102 is 201413110311.

It is a happy number.

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 (113011314107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17247727 + ... + 17254277.

It is an arithmetic number, because the mean of its divisors is an integer number (3964713480).

Almost surely, 2113011314102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113011314102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126870831360).

113011314102 is an abundant number, since it is smaller than the sum of its proper divisors (140730348618).

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

113011314102 is a wasteful number, since it uses less digits than its factorization.

113011314102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113011314102 its reverse (201413110311), we get a palindrome (314424424413).

The spelling of 113011314102 in words is "one hundred thirteen billion, eleven million, three hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 3163 5454 6326 6551 9489 13102 18978 19653 28467 39306 56934 58959 85401 117918 170802 176877 319463 353754 638926 661651 958389 1323302 1916778 1984953 2875167 3969906 5750334 5954859 8625501 11909718 17251002 17864577 20720813 35729154 41441626 62162439 124324878 186487317 372974634 559461951 1118923902 2092802113 4185604226 6278406339 12556812678 18835219017 37670438034 56505657051 113011314102