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10000331124 = 22371718793727
BaseRepresentation
bin10010101000001000…
…01111000101110100
3221210221101110100020
421110010033011310
5130440041043444
64332153445140
7502550261220
oct112404170564
927727343306
1010000331124
114271a20873
121b311107b0
13c34aa50c4
146ac20b780
153d7e26119
hex25410f174

10000331124 has 96 divisors (see below), whose sum is σ = 28258836480. Its totient is φ = 2687012352.

The previous prime is 10000331093. The next prime is 10000331153. The reversal of 10000331124 is 42113300001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2681349 + ... + 2685075.

It is an arithmetic number, because the mean of its divisors is an integer number (294362880).

Almost surely, 210000331124 is an apocalyptic number.

10000331124 is a gapful number since it is divisible by the number (14) 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 10000331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129418240).

10000331124 is an abundant number, since it is smaller than the sum of its proper divisors (18258505356).

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

10000331124 is a wasteful number, since it uses less digits than its factorization.

10000331124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10000331124 its reverse (42113300001), we get a palindrome (52113631125).

The spelling of 10000331124 in words is "ten billion, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1879 3727 3758 5637 7454 7516 11181 11274 13153 14908 22362 22548 26089 26306 31943 39459 44724 52178 52612 63359 63886 78267 78918 95829 104356 126718 127772 156534 157836 190077 191658 223601 253436 313068 380154 383316 443513 447202 670803 760308 887026 894404 1330539 1341606 1774052 2661078 2683212 5322156 7003033 14006066 21009099 28012132 42018198 49021231 84036396 98042462 119051561 147063693 196084924 238103122 294127386 357154683 476206244 588254772 714309366 833360927 1428618732 1666721854 2500082781 3333443708 5000165562 10000331124