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102153162141 = 3211350351349
BaseRepresentation
bin101111100100011001…
…1011000110110011101
3100202200020012022102200
41133020303120312131
53133202202142031
6114532320442113
710244310360102
oct1371063306635
9322606168380
10102153162141
113a360884748
121796aa79339
13982c922094
144d30dc8aa9
1529cd2a38e6
hex17c8cd8d9d

102153162141 has 6 divisors (see below), whose sum is σ = 147554567550. Its totient is φ = 68102108088.

The previous prime is 102153162131. The next prime is 102153162143. The reversal of 102153162141 is 141261351201.

102153162141 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 31 + 621 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100409765625 + 1743396516 = 316875^2 + 41754^2 .

It is not a de Polignac number, because 102153162141 - 26 = 102153162077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102153162143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5675175666 + ... + 5675175683.

It is an arithmetic number, because the mean of its divisors is an integer number (24592427925).

Almost surely, 2102153162141 is an apocalyptic number.

It is an amenable number.

102153162141 is a deficient number, since it is larger than the sum of its proper divisors (45401405409).

102153162141 is a wasteful number, since it uses less digits than its factorization.

102153162141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350351355 (or 11350351352 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 102153162141 in words is "one hundred two billion, one hundred fifty-three million, one hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11350351349 34051054047 102153162141