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31113303032 = 23721721931423
BaseRepresentation
bin11100111110011111…
…110101001111111000
32222022100011120000202
4130332133311033320
51002210001144112
622143202021332
72151005466200
oct347637651770
988270146022
1031113303032
1112216715089
126043947848
132c1ac22ba6
14171224b400
15c2173b6c2
hex73e7f53f8

31113303032 has 144 divisors (see below), whose sum is σ = 72513056160. Its totient is φ = 12476104704.

The previous prime is 31113302971. The next prime is 31113303079. The reversal of 31113303032 is 23030331113.

It is a super-2 number, since 2×311133030322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31113302995 and 31113303013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21863873 + ... + 21865295.

It is an arithmetic number, because the mean of its divisors is an integer number (503562890).

Almost surely, 231113303032 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 31113303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36256528080).

31113303032 is an abundant number, since it is smaller than the sum of its proper divisors (41399753128).

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

31113303032 is a wasteful number, since it uses less digits than its factorization.

31113303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 31113303032 its reverse (23030331113), we get a palindrome (54143634145).

The spelling of 31113303032 in words is "thirty-one billion, one hundred thirteen million, three hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 193 196 238 289 386 392 476 578 772 833 952 1156 1351 1423 1544 1666 2023 2312 2702 2846 3281 3332 4046 5404 5692 6562 6664 8092 9457 9961 10808 11384 13124 14161 16184 18914 19922 22967 24191 26248 28322 37828 39844 45934 48382 55777 56644 69727 75656 79688 91868 96764 111554 113288 139454 160769 169337 183736 193528 223108 274639 278908 321538 338674 390439 411247 446216 549278 557816 643076 677348 780878 822494 1098556 1185359 1286152 1354696 1561756 1644988 1922473 2197112 2370718 2733073 2878729 3123512 3289976 3844946 4668863 4741436 5466146 5757458 7689892 9337726 9482872 10932292 11514916 13457311 15379784 18675452 20151103 21864584 23029832 26914622 32682041 37350904 40302206 53829244 65364082 79370671 80604412 107658488 130728164 158741342 161208824 228774287 261456328 317482684 457548574 555594697 634965368 915097148 1111189394 1830194296 2222378788 3889162879 4444757576 7778325758 15556651516 31113303032