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23312130100 = 22527223149341
BaseRepresentation
bin10101101101100000…
…101110000000110100
32020011122212220120221
4111231200232000310
5340220401130400
614413123504124
71453460556610
oct255540560064
966148786527
1023312130100
1199830a9426
124627228044
13227694622c
1411b213c340
15916917c1a
hex56d82e034

23312130100 has 72 divisors (see below), whose sum is σ = 58073727488. Its totient is φ = 7956835200.

The previous prime is 23312130043. The next prime is 23312130103. The reversal of 23312130100 is 103121332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312130103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81430 + ... + 230770.

Almost surely, 223312130100 is an apocalyptic number.

23312130100 is a gapful number since it is divisible by the number (20) 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 23312130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29036863744).

23312130100 is an abundant number, since it is smaller than the sum of its proper divisors (34761597388).

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

23312130100 is a wasteful number, since it uses less digits than its factorization.

23312130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149585 (or 149578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23312130100 its reverse (103121332), we get a palindrome (23415251432).

The spelling of 23312130100 in words is "twenty-three billion, three hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 223 350 446 700 892 1115 1561 2230 3122 4460 5575 6244 7805 11150 15610 22300 31220 39025 78050 149341 156100 298682 597364 746705 1045387 1493410 2090774 2986820 3733525 4181548 5226935 7467050 10453870 14934100 20907740 26134675 33303043 52269350 66606086 104538700 133212172 166515215 233121301 333030430 466242602 666060860 832576075 932485204 1165606505 1665152150 2331213010 3330304300 4662426020 5828032525 11656065050 23312130100