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10131020022940 = 22541101122325767
BaseRepresentation
bin1001001101101100111111…
…0110011000010010011100
31022212111221012112000212121
42103123033312120102130
52311441312111213230
633314043142512324
72063641056225415
oct223331766302234
938774835460777
1010131020022940
1132565a5762513
1211775621356a4
1358647445ac0b
142704b5c7880c
151287e75e077a
hex936cfd9849c

10131020022940 has 48 divisors (see below), whose sum is σ = 22009830784704. Its totient is φ = 3914424512000.

The previous prime is 10131020022931. The next prime is 10131020022941. The reversal of 10131020022940 is 4922002013101.

It is a super-2 number, since 2×101310200229402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131020022941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61080064 + ... + 61245703.

It is an arithmetic number, because the mean of its divisors is an integer number (458538141348).

Almost surely, 210131020022940 is an apocalyptic number.

10131020022940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131020022940 is an abundant number, since it is smaller than the sum of its proper divisors (11878810761764).

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

10131020022940 is a wasteful number, since it uses less digits than its factorization.

10131020022940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122325918 (or 122325916 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 10131020022940 in words is "ten trillion, one hundred thirty-one billion, twenty million, twenty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 16564 20705 41410 82820 122325767 244651534 489303068 611628835 1223257670 2446515340 5015356447 10030712894 12354902467 20061425788 24709804934 25076782235 49419609868 50153564470 61774512335 100307128940 123549024670 247098049340 506551001147 1013102002294 2026204004588 2532755005735 5065510011470 10131020022940