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93052020321 = 3313353751007
BaseRepresentation
bin101011010101001010…
…1010010011001100001
322220011221210101221000
41112222111102121201
53011032304122241
6110425243422213
76502626056661
oct1265225223141
9286157711830
1093052020321
1136510492137
121604ab24969
138a0c21b670
14470a3a61a1
152649298eb6
hex15aa552661

93052020321 has 32 divisors (see below), whose sum is σ = 148879825920. Its totient is φ = 57100488192.

The previous prime is 93052020317. The next prime is 93052020323. The reversal of 93052020321 is 12302025039.

93052020321 is a `hidden beast` number, since 93 + 0 + 520 + 20 + 32 + 1 = 666.

It is not a de Polignac number, because 93052020321 - 22 = 93052020317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (93052020323) 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, 251601 + ... + 499406.

It is an arithmetic number, because the mean of its divisors is an integer number (4652494560).

Almost surely, 293052020321 is an apocalyptic number.

It is an amenable number.

93052020321 is a deficient number, since it is larger than the sum of its proper divisors (55827805599).

93052020321 is a wasteful number, since it uses less digits than its factorization.

93052020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751382 (or 751376 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 93052020321 in words is "ninety-three billion, fifty-two million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 353 1059 3177 4589 9531 13767 41301 123903 751007 2253021 6759063 9763091 20277189 29289273 87867819 263603457 265105471 795316413 2385949239 3446371123 7157847717 10339113369 31017340107 93052020321