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103117412161 = 192169012
BaseRepresentation
bin110000000001001000…
…1101101011101000001
3100212011102121021210101
41200002101231131001
53142141024142121
6115212124002401
710310226353461
oct1400221553501
9325142537711
10103117412161
113a8060aaa95
1217b99990401
13995462301a
144dc30abba1
152a37c72491
hex180246d741

103117412161 has 9 divisors (see below), whose sum is σ = 108836727843. Its totient is φ = 97684399800.

The previous prime is 103117412147. The next prime is 103117412173. The reversal of 103117412161 is 161214711301.

The square root of 103117412161 is 321119.

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., 103093008561 + 24403600 = 321081^2 + 4940^2 .

It is not a de Polignac number, because 103117412161 - 211 = 103117410113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103117412141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6092811 + ... + 6109711.

Almost surely, 2103117412161 is an apocalyptic number.

103117412161 is the 321119-th square number.

103117412161 is the 160560-th centered octagonal number.

It is an amenable number.

103117412161 is a deficient number, since it is larger than the sum of its proper divisors (5719315682).

103117412161 is an frugal number, since it uses more digits than its factorization.

103117412161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33840 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 103117412161 in words is "one hundred three billion, one hundred seventeen million, four hundred twelve thousand, one hundred sixty-one".

Divisors: 1 19 361 16901 321119 6101261 285643801 5427232219 103117412161