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23130305235135 = 3257256511856297
BaseRepresentation
bin1010100001001011100011…
…01000001000100010111111
310000220020100202000120121200
411100211301220020202333
511012431331120011020
6121105525431030543
74605052345345500
oct520456150104277
9100806322016550
1023130305235135
11740856433258a
12271698450b453
13cba241cca067
1459d726d96ba7
152a1a14133590
hex150971a088bf

23130305235135 has 72 divisors (see below), whose sum is σ = 46646526332016. Its totient is φ = 10571976979200.

The previous prime is 23130305235091. The next prime is 23130305235139. The reversal of 23130305235135 is 53153250303132.

It is a happy number.

23130305235135 is a `hidden beast` number, since 2 + 3 + 130 + 3 + 0 + 5 + 2 + 3 + 513 + 5 = 666.

It is not a de Polignac number, because 23130305235135 - 29 = 23130305234623 is a prime.

It is a super-2 number, since 2×231303052351352 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23130305235135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130305235139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11532307 + ... + 13388603.

It is an arithmetic number, because the mean of its divisors is an integer number (647868421278).

Almost surely, 223130305235135 is an apocalyptic number.

23130305235135 is an abundant number, since it is smaller than the sum of its proper divisors (23516221096881).

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

23130305235135 is a wasteful number, since it uses less digits than its factorization.

23130305235135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861973 (or 1861963 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 23130305235135 its reverse (53153250303132), we get a palindrome (76283555538267).

The spelling of 23130305235135 in words is "twenty-three trillion, one hundred thirty billion, three hundred five million, two hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5651 16953 28255 39557 50859 84765 118671 197785 254295 276899 356013 593355 830697 1384495 1780065 1856297 2492091 4153485 5568891 9281485 12460455 12994079 16706673 27844455 38982237 64970395 83533365 90958553 116946711 194911185 272875659 454792765 584733555 818626977 1364378295 4093134885 10489934347 31469803041 52449671735 73429540429 94409409123 157349015205 220288621287 367147702145 472047045615 514006783003 660865863861 1101443106435 1542020349009 2570033915015 3304329319305 4626061047027 7710101745045 23130305235135