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10002031110 = 23251923112531
BaseRepresentation
bin10010101000010101…
…01110001000000110
3221211001120211021200
421110022232020012
5130441004443420
64332254123330
7502600601361
oct112412561006
927731524250
1010002031110
114272982015
121b317b0546
13c3524bb06
146ac5310d8
153d815eb90
hex2542ae206

10002031110 has 96 divisors (see below), whose sum is σ = 27396645120. Its totient is φ = 2524737600.

The previous prime is 10002031099. The next prime is 10002031147. The reversal of 10002031110 is 1113020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002031092 and 10002031101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3950545 + ... + 3953075.

It is an arithmetic number, because the mean of its divisors is an integer number (285381720).

Almost surely, 210002031110 is an apocalyptic number.

10002031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002031110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698322560).

10002031110 is an abundant number, since it is smaller than the sum of its proper divisors (17394614010).

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

10002031110 is a wasteful number, since it uses less digits than its factorization.

10002031110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10002031110 its reverse (1113020001), we get a palindrome (11115051111).

The spelling of 10002031110 in words is "ten billion, two million, thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2311 2531 4622 5062 6933 7593 11555 12655 13866 15186 20799 22779 23110 25310 34665 37965 41598 43909 45558 48089 69330 75930 87818 96178 103995 113895 131727 144267 207990 219545 227790 240445 263454 288534 395181 432801 439090 480890 658635 721335 790362 865602 1317270 1442670 1975905 2164005 3951810 4328010 5849141 11698282 17547423 29245705 35094846 52642269 58491410 87737115 105284538 111133679 175474230 222267358 263211345 333401037 526422690 555668395 666802074 1000203111 1111336790 1667005185 2000406222 3334010370 5001015555 10002031110