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102152334100 = 22521021523341
BaseRepresentation
bin101111100100011000…
…0001110101100010100
3100202200011122020120111
41133020300032230110
53133201444142400
6114532251012404
710244300341015
oct1371060165424
9322604566514
10102152334100
113a360369613
121796a73a104
13982c6c220b
144d30c5100c
1529cd18d3ba
hex17c8c0eb14

102152334100 has 18 divisors (see below), whose sum is σ = 221670565214. Its totient is φ = 40860933600.

The previous prime is 102152334083. The next prime is 102152334131. The reversal of 102152334100 is 1433251201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19135742224 + 83016591876 = 138332^2 + 288126^2 .

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, 510761571 + ... + 510761770.

Almost surely, 2102152334100 is an apocalyptic number.

102152334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102152334100 is an abundant number, since it is smaller than the sum of its proper divisors (119518231114).

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

102152334100 is a wasteful number, since it uses less digits than its factorization.

102152334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021523355 (or 1021523348 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 102152334100 its reverse (1433251201), we get a palindrome (103585585301).

The spelling of 102152334100 in words is "one hundred two billion, one hundred fifty-two million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1021523341 2043046682 4086093364 5107616705 10215233410 20430466820 25538083525 51076167050 102152334100