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121752373431 = 3137154138123
BaseRepresentation
bin111000101100100000…
…0011100100010110111
3102122021010120101221010
41301121000130202313
53443322101422211
6131533211523303
711540065045563
oct1613100344267
9378233511833
10121752373431
11476a904a227
121b71a759533
13b634270420
145c6dd826a3
153278c524a6
hex1c5901c8b7

121752373431 has 32 divisors (see below), whose sum is σ = 177340810752. Its totient is φ = 73846523520.

The previous prime is 121752373417. The next prime is 121752373433. The reversal of 121752373431 is 134373257121.

It is not a de Polignac number, because 121752373431 - 25 = 121752373399 is a prime.

It is a super-2 number, since 2×1217523734312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 121752373431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121752373433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14984536 + ... + 14992658.

It is an arithmetic number, because the mean of its divisors is an integer number (5541900336).

Almost surely, 2121752373431 is an apocalyptic number.

121752373431 is a deficient number, since it is larger than the sum of its proper divisors (55588437321).

121752373431 is a wasteful number, since it uses less digits than its factorization.

121752373431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13623.

The product of its digits is 105840, while the sum is 39.

The spelling of 121752373431 in words is "one hundred twenty-one billion, seven hundred fifty-two million, three hundred seventy-three thousand, four hundred thirty-one".

Divisors: 1 3 13 39 71 213 923 2769 5413 8123 16239 24369 70369 105599 211107 316797 384323 576733 1152969 1730199 4996199 7497529 14988597 22492587 43969799 131909397 571607387 1714822161 3121855729 9365567187 40584124477 121752373431