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102257334324 = 22322840481509
BaseRepresentation
bin101111100111100000…
…0110001100000110100
3100202221111012210210200
41133033000301200310
53133410334144244
6114550521320500
710250014000065
oct1371700614064
9322844183720
10102257334324
113a404665862
1217999936130
139848396922
144d40b8456c
1529d74ce669
hex17cf031834

102257334324 has 18 divisors (see below), whose sum is σ = 258483817410. Its totient is φ = 34085778096.

The previous prime is 102257334281. The next prime is 102257334337. The reversal of 102257334324 is 423433752201.

102257334324 is a `hidden beast` number, since 1 + 0 + 22 + 573 + 3 + 43 + 24 = 666.

102257334324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57879698724 + 44377635600 = 240582^2 + 210660^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2840481509 = 102257334324 / (1 + 0 + 2 + 2 + 5 + 7 + 3 + 3 + 4 + 3 + 2 + 4).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1420240719 + ... + 1420240790.

Almost surely, 2102257334324 is an apocalyptic number.

It is an amenable number.

102257334324 is an abundant number, since it is smaller than the sum of its proper divisors (156226483086).

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

102257334324 is a wasteful number, since it uses less digits than its factorization.

102257334324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840481519 (or 2840481514 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 102257334324 in words is "one hundred two billion, two hundred fifty-seven million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2840481509 5680963018 8521444527 11361926036 17042889054 25564333581 34085778108 51128667162 102257334324