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23070952988100 = 2234522848265801
BaseRepresentation
bin1010011111011100111111…
…11101010001110111000100
310000200120011101022000220000
411033232133331101313010
511010443302431104400
6121022352142241300
74600551502515423
oct517563775216704
9100616141260800
1023070952988100
117395377559956
12270737b586230
13cb4773818164
1459a8d655b2ba
152a01dd6d2600
hex14fb9ff51dc4

23070952988100 has 90 divisors (see below), whose sum is σ = 74786915163114. Its totient is φ = 6152254128000.

The previous prime is 23070952988093. The next prime is 23070952988119. The reversal of 23070952988100 is 188925907032.

23070952988100 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 0 + 9 + 529 + 8 + 8 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2925146613636 + 20145806374464 = 1710306^2 + 4488408^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×230709529881002 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1424124801 + ... + 1424141000.

Almost surely, 223070952988100 is an apocalyptic number.

23070952988100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23070952988100 is an abundant number, since it is smaller than the sum of its proper divisors (51715962175014).

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

23070952988100 is a wasteful number, since it uses less digits than its factorization.

23070952988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848265827 (or 2848265811 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 23070952988100 in words is "twenty-three trillion, seventy billion, nine hundred fifty-two million, nine hundred eighty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2848265801 5696531602 8544797403 11393063204 14241329005 17089594806 25634392209 28482658010 34179189612 42723987015 51268784418 56965316020 71206645025 76903176627 85447974030 102537568836 128171961045 142413290050 153806353254 170895948060 213619935075 230709529881 256343922090 284826580100 307612706508 384515883135 427239870150 461419059762 512687844180 640859805225 769031766270 854479740300 922838119524 1153547649405 1281719610450 1538063532540 1922579415675 2307095298810 2563439220900 3845158831350 4614190597620 5767738247025 7690317662700 11535476494050 23070952988100