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23031331330100 = 225220891025310753
BaseRepresentation
bin1010011110010011001100…
…10100101001100000110100
310000112202220002011021001012
411033021212110221200310
511004321131310030400
6120552240400451352
74564646601133502
oct517114624514064
9100482802137035
1023031331330100
11737a595123855
1226bb762319b58
13cb0acac63202
14598a18317672
1529e170031d35
hex14f266529834

23031331330100 has 72 divisors (see below), whose sum is σ = 50011440651480. Its totient is φ = 9206368174080.

The previous prime is 23031331330009. The next prime is 23031331330127. The reversal of 23031331330100 is 103313313032.

It can be written as a sum of positive squares in 12 ways, for example, as 1503178985764 + 21528152344336 = 1226042^2 + 4639844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2141846324 + ... + 2141857076.

Almost surely, 223031331330100 is an apocalyptic number.

23031331330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23031331330100 is an abundant number, since it is smaller than the sum of its proper divisors (26980109321380).

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

23031331330100 is a wasteful number, since it uses less digits than its factorization.

23031331330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23109 (or 23102 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 23031331330100 its reverse (103313313032), we get a palindrome (23134644643132).

The spelling of 23031331330100 in words is "twenty-three trillion, thirty-one billion, three hundred thirty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2089 4178 8356 10253 10445 10753 20506 20890 21506 41012 41780 43012 51265 52225 53765 102530 104450 107530 205060 208900 215060 256325 268825 512650 537650 1025300 1075300 21418517 22463017 42837034 44926034 85674068 89852068 107092585 110250509 112315085 214185170 220501018 224630170 428370340 441002036 449260340 535462925 551252545 561575425 1070925850 1102505090 1123150850 2141851700 2205010180 2246301700 2756262725 5512525450 11025050900 230313313301 460626626602 921253253204 1151566566505 2303133133010 4606266266020 5757832832525 11515665665050 23031331330100