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10031131332 = 22324383101773
BaseRepresentation
bin10010101011110011…
…01110101011000100
3221220002100021021200
421111321232223010
5131020432200312
64335213542500
7503403131565
oct112571565304
927802307250
1010031131332
114288348492
121b3b4a4a30
13c3b29a391
146b234816c
153da9ac0dc
hex255e6eac4

10031131332 has 144 divisors (see below), whose sum is σ = 26553054528. Its totient is φ = 3190521600.

The previous prime is 10031131277. The next prime is 10031131351. The reversal of 10031131332 is 23313113001.

It is a happy number.

10031131332 is a `hidden beast` number, since 10 + 0 + 311 + 313 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12976498 + ... + 12977270.

It is an arithmetic number, because the mean of its divisors is an integer number (184396212).

Almost surely, 210031131332 is an apocalyptic number.

10031131332 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 10031131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13276527264).

10031131332 is an abundant number, since it is smaller than the sum of its proper divisors (16521923196).

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

10031131332 is a wasteful number, since it uses less digits than its factorization.

10031131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10031131332 its reverse (23313113001), we get a palindrome (33344244333).

The spelling of 10031131332 in words is "ten billion, thirty-one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 83 86 101 129 166 172 202 249 258 303 332 387 404 498 516 606 747 773 774 909 996 1212 1494 1546 1548 1818 2319 2988 3092 3569 3636 4343 4638 6957 7138 8383 8686 9276 10707 13029 13914 14276 16766 17372 21414 25149 26058 27828 32121 33239 33532 39087 42828 50298 52116 64159 64242 66478 75447 78073 78174 99717 100596 128318 128484 132956 150894 156146 156348 192477 199434 234219 256636 299151 301788 312292 360469 384954 398868 468438 577431 598302 702657 720938 769908 936876 1081407 1154862 1196604 1405314 1441876 2162814 2309724 2758837 2810628 3244221 3357139 4325628 5517674 6480059 6488442 6714278 8276511 10071417 11035348 12960118 12976884 13428556 16553022 19440177 20142834 24829533 25920236 30214251 33106044 38880354 40285668 49659066 58320531 60428502 77760708 99318132 116641062 120857004 233282124 278642537 557285074 835927611 1114570148 1671855222 2507782833 3343710444 5015565666 10031131332