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102156305161 = 43274332
BaseRepresentation
bin101111100100011111…
…1011000001100001001
3100202200110002222211211
41133020333120030021
53133204003231121
6114532512053121
710244346160321
oct1371077301411
9322613088754
10102156305161
113a362631089
121796bb341a1
139830482861
144d315a6281
1529cd6c4ce1
hex17c8fd8309

102156305161 has 9 divisors (see below), whose sum is σ = 104601355239. Its totient is φ = 99767153136.

The previous prime is 102156305149. The next prime is 102156305183. The reversal of 102156305161 is 161503651201.

It is a happy number.

The square root of 102156305161 is 319619.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6091022025 + 96065283136 = 78045^2 + 309944^2 .

It is not a de Polignac number, because 102156305161 - 27 = 102156305033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102156300161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13739901 + ... + 13747333.

Almost surely, 2102156305161 is an apocalyptic number.

102156305161 is the 319619-th square number.

102156305161 is the 159810-th centered octagonal number.

It is an amenable number.

102156305161 is a deficient number, since it is larger than the sum of its proper divisors (2445050078).

102156305161 is an frugal number, since it uses more digits than its factorization.

102156305161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 102156305161 its reverse (161503651201), we get a palindrome (263659956362).

The spelling of 102156305161 in words is "one hundred two billion, one hundred fifty-six million, three hundred five thousand, one hundred sixty-one".

Divisors: 1 43 1849 7433 319619 13743617 55249489 2375728027 102156305161