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10131011310 = 2357316715233
BaseRepresentation
bin10010110111101101…
…01111011011101110
3222011001021200212010
421123312233123232
5131222014330220
64353142422050
7506025114060
oct113366573356
928131250763
1010131011310
114329767822
121b68a31926
13c55b9b364
146c1707730
153e463b1e0
hex25bdaf6ee

10131011310 has 64 divisors (see below), whose sum is σ = 27798515712. Its totient is φ = 2314776576.

The previous prime is 10131011309. The next prime is 10131011339. The reversal of 10131011310 is 1311013101.

It is a super-2 number, since 2×101310113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657454 + ... + 672686.

It is an arithmetic number, because the mean of its divisors is an integer number (434351808).

Almost surely, 210131011310 is an apocalyptic number.

10131011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131011310 is an abundant number, since it is smaller than the sum of its proper divisors (17667504402).

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

10131011310 is a wasteful number, since it uses less digits than its factorization.

10131011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18417.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10131011310 its reverse (1311013101), we get a palindrome (11442024411).

The spelling of 10131011310 in words is "ten billion, one hundred thirty-one million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 3167 6334 9501 15233 15835 19002 22169 30466 31670 44338 45699 47505 66507 76165 91398 95010 106631 110845 133014 152330 213262 221690 228495 319893 332535 456990 533155 639786 665070 1066310 1599465 3198930 48242911 96485822 144728733 241214555 289457466 337700377 482429110 675400754 723643665 1013101131 1447287330 1688501885 2026202262 3377003770 5065505655 10131011310