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31000112003 = 723123387589
BaseRepresentation
bin11100110111110000…
…000010101110000011
32222000110011212010102
4130313300002232003
51001442012041003
622124035553015
72145132414200
oct346760025603
988013155112
1031000112003
1112168833a83
126011a5b76b
132c00641253
1417011c4ca7
15c1682d588
hex737c02b83

31000112003 has 24 divisors (see below), whose sum is σ = 37384813440. Its totient is φ = 25603724160.

The previous prime is 31000111963. The next prime is 31000112009. The reversal of 31000112003 is 30021100013.

It is not a de Polignac number, because 31000112003 - 214 = 31000095619 is a prime.

It is a super-2 number, since 2×310001120032 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31000112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310133 + ... + 397721.

It is an arithmetic number, because the mean of its divisors is an integer number (1557700560).

Almost surely, 231000112003 is an apocalyptic number.

31000112003 is a deficient number, since it is larger than the sum of its proper divisors (6384701437).

31000112003 is a wasteful number, since it uses less digits than its factorization.

31000112003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87867 (or 87860 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31000112003 its reverse (30021100013), we get a palindrome (61021212016).

The spelling of 31000112003 in words is "thirty-one billion, one hundred twelve thousand, three".

Divisors: 1 7 31 49 217 233 1519 1631 7223 11417 50561 87589 353927 613123 2715259 4291861 19006813 20408237 133047691 142857659 632655347 1000003613 4428587429 31000112003