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122002313193 = 32291094288457
BaseRepresentation
bin111000110011111100…
…1111000111111101001
3102122220112212122211100
41301213321320333221
53444330043010233
6132014100552013
711546221360125
oct1614771707751
9378815778740
10122002313193
1147817141712
121b78a3b2609
13b673c91587
145c95244585
153290b73813
hex1c67e78fe9

122002313193 has 24 divisors (see below), whose sum is σ = 183974848200. Its totient is φ = 77809745664.

The previous prime is 122002313183. The next prime is 122002313231. The reversal of 122002313193 is 391313200221.

It can be written as a sum of positive squares in 4 ways, for example, as 9989602704 + 112012710489 = 99948^2 + 334683^2 .

It is not a de Polignac number, because 122002313193 - 29 = 122002312681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122002313113) 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, 2115780 + ... + 2172677.

It is an arithmetic number, because the mean of its divisors is an integer number (7665618675).

Almost surely, 2122002313193 is an apocalyptic number.

It is an amenable number.

122002313193 is a deficient number, since it is larger than the sum of its proper divisors (61972535007).

122002313193 is a wasteful number, since it uses less digits than its factorization.

122002313193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288601 (or 4288598 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 122002313193 in words is "one hundred twenty-two billion, two million, three hundred thirteen thousand, one hundred ninety-three".

Divisors: 1 3 9 29 87 109 261 327 981 3161 9483 28449 4288457 12865371 38596113 124365253 373095759 467441813 1119287277 1402325439 4206976317 13555812577 40667437731 122002313193