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870321141 = 3237101113229
BaseRepresentation
bin110011111000000…
…000101111110101
32020122122220011100
4303320000233311
53240300234031
6222210000313
730365415264
oct6370005765
92218586140
10870321141
11407301178
12203576099
1310b404931
14838325db
1551617de6
hex33e00bf5

870321141 has 48 divisors (see below), whose sum is σ = 1321173360. Its totient is φ = 551577600.

The previous prime is 870321119. The next prime is 870321149. The reversal of 870321141 is 141123078.

It can be written as a sum of positive squares in 8 ways, for example, as 167806116 + 702515025 = 12954^2 + 26505^2 .

It is not a de Polignac number, because 870321141 - 227 = 736103413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870321149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3800415 + ... + 3800643.

It is an arithmetic number, because the mean of its divisors is an integer number (27524445).

Almost surely, 2870321141 is an apocalyptic number.

It is an amenable number.

870321141 is a deficient number, since it is larger than the sum of its proper divisors (450852219).

870321141 is a wasteful number, since it uses less digits than its factorization.

870321141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 870321141 is about 29501.2057550196. The cubic root of 870321141 is about 954.7577178392.

The spelling of 870321141 in words is "eight hundred seventy million, three hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 37 101 111 113 229 303 333 339 687 909 1017 2061 3737 4181 8473 11211 11413 12543 23129 25419 25877 33633 34239 37629 69387 76257 77631 102717 208161 232893 422281 855773 957449 1266843 2567319 2613577 2872347 3800529 7701957 7840731 8617041 23522193 96702349 290107047 870321141