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323000113102100 = 225272280692348441
BaseRepresentation
bin100100101110001000101001…
…1000000001111110100010100
31120100122111202020111112212122
41021130101103000033310110
5314314013212423231400
63102544111542035112
7125014662624230600
oct11134212300176424
91510574666445778
10323000113102100
1193a10640283545
1230287704418a98
1310b2ca1a798a65
1459a94089cc500
152751e92d2a685
hex125c45300fd14

323000113102100 has 108 divisors (see below), whose sum is σ = 815373966280860. Its totient is φ = 110738903385600.

The previous prime is 323000113102087. The next prime is 323000113102109. The reversal of 323000113102100 is 1201311000323.

It can be written as a sum of positive squares in 6 ways, for example, as 77656384545796 + 245343728556304 = 8812286^2 + 15663452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323000113102109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136363880 + ... + 138712320.

It is an arithmetic number, because the mean of its divisors is an integer number (7549758947045).

Almost surely, 2323000113102100 is an apocalyptic number.

It is an amenable number.

323000113102100 is an abundant number, since it is smaller than the sum of its proper divisors (492373853178760).

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

323000113102100 is a wasteful number, since it uses less digits than its factorization.

323000113102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376538 (or 2376524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 323000113102100 its reverse (1201311000323), we get a palindrome (324201424102423).

The spelling of 323000113102100 in words is "three hundred twenty-three trillion, one hundred thirteen million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 28069 56138 112276 140345 196483 280690 392966 561380 701725 785932 982415 1375381 1403450 1964830 2348441 2750762 2806900 3929660 4696882 4912075 5501524 6876905 9393764 9824150 11742205 13753810 16439087 19648300 23484410 27507620 32878174 34384525 46968820 58711025 65756348 68769050 82195435 115073609 117422050 137538100 164390870 230147218 234844100 328781740 410977175 460294436 575368045 821954350 1150736090 1643908700 2301472180 2876840225 5753680450 11507360900 65918390429 131836780858 263673561716 329591952145 461428733003 659183904290 922857466006 1318367808580 1647959760725 1845714932012 2307143665015 3230001131021 3295919521450 4614287330030 6460002262042 6591839042900 9228574660060 11535718325075 12920004524084 16150005655105 23071436650150 32300011310210 46142873300300 64600022620420 80750028275525 161500056551050 323000113102100