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103917903769 = 34729292
BaseRepresentation
bin110000011000111111…
…1010101111110011001
3100221020012212110211201
41200301333111332121
53200310440410034
6115423401154201
710336116415321
oct1406177257631
9327205773751
10103917903769
1140086a471a9
1218181a8b961
139a514188b4
14505b524281
152a83195014
hex1831fd5f99

103917903769 has 9 divisors (see below), whose sum is σ = 104330546047. Its totient is φ = 103506890944.

The previous prime is 103917903743. The next prime is 103917903781. The reversal of 103917903769 is 967309719301.

It is a happy number.

The square root of 103917903769 is 322363.

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., 2003726169 + 101914177600 = 44763^2 + 319240^2 .

It is not a de Polignac number, because 103917903769 - 217 = 103917772697 is a prime.

It is a super-2 number, since 2×1039179037692 (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 (103917906769) 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, 111859497 + ... + 111860425.

Almost surely, 2103917903769 is an apocalyptic number.

103917903769 is the 322363-rd square number.

103917903769 is the 161182-nd centered octagonal number.

It is an amenable number.

103917903769 is a deficient number, since it is larger than the sum of its proper divisors (412642278).

103917903769 is an frugal number, since it uses more digits than its factorization.

103917903769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 55.

The spelling of 103917903769 in words is "one hundred three billion, nine hundred seventeen million, nine hundred three thousand, seven hundred sixty-nine".

Divisors: 1 347 929 120409 322363 863041 111859961 299475227 103917903769