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103983517253 = 72111279915073
BaseRepresentation
bin110000011010111100…
…1101000111001000101
3100221101210022222121202
41200311321220321011
53200424240023003
6115434103352245
710340544212300
oct1406571507105
9327353288552
10103983517253
114010aa91620
121819ba52685
139a61bac945
145066123b37
152a88d06088
hex1835e68e45

103983517253 has 24 divisors (see below), whose sum is σ = 131975884800. Its totient is φ = 81014411520.

The previous prime is 103983517237. The next prime is 103983517259. The reversal of 103983517253 is 352715389301.

It is not a de Polignac number, because 103983517253 - 24 = 103983517237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103983517198 and 103983517207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103983517259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6891125 + ... + 6906197.

It is an arithmetic number, because the mean of its divisors is an integer number (5498995200).

Almost surely, 2103983517253 is an apocalyptic number.

It is an amenable number.

103983517253 is a deficient number, since it is larger than the sum of its proper divisors (27992367547).

103983517253 is a wasteful number, since it uses less digits than its factorization.

103983517253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27897 (or 27890 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The spelling of 103983517253 in words is "one hundred three billion, nine hundred eighty-three million, five hundred seventeen thousand, two hundred fifty-three".

Divisors: 1 7 11 49 77 539 12799 15073 89593 105511 140789 165803 627151 738577 985523 1160621 6898661 8124347 192919327 1350435289 2122112597 9453047023 14854788179 103983517253