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102120155249 = 722084084801
BaseRepresentation
bin101111100011011010…
…1011110100001110001
3100202120221002101111012
41133012311132201301
53133120224431444
6114525141200305
710243426666100
oct1370665364161
9322527071435
10102120155249
113a344190122
121795ba00095
139825b36588
144d2a876037
1529ca433b9e
hex17c6d5e871

102120155249 has 6 divisors (see below), whose sum is σ = 118792833714. Its totient is φ = 87531561600.

The previous prime is 102120155219. The next prime is 102120155261. The reversal of 102120155249 is 942551021201.

It can be written as a sum of positive squares in only one way, i.e., 90702164224 + 11417991025 = 301168^2 + 106855^2 .

It is not a de Polignac number, because 102120155249 - 228 = 101851719793 is a prime.

It is a super-2 number, since 2×1021201552492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102120155219) 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, 1042042352 + ... + 1042042449.

It is an arithmetic number, because the mean of its divisors is an integer number (19798805619).

Almost surely, 2102120155249 is an apocalyptic number.

It is an amenable number.

102120155249 is a deficient number, since it is larger than the sum of its proper divisors (16672678465).

102120155249 is an equidigital number, since it uses as much as digits as its factorization.

102120155249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084084815 (or 2084084808 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 102120155249 in words is "one hundred two billion, one hundred twenty million, one hundred fifty-five thousand, two hundred forty-nine".

Divisors: 1 7 49 2084084801 14588593607 102120155249