Search a number
-
+
103301257960 = 2353976505117
BaseRepresentation
bin110000000110100111…
…1000001101011101000
3100212122020112121211001
41200031033001223220
53143030110223320
6115242252244344
710314621130165
oct1401517015350
9325566477731
10103301257960
113a89a95a06a
121802b4706b4
139983742514
144ddd68706c
152a48e8a20a
hex180d3c1ae8

103301257960 has 32 divisors (see below), whose sum is σ = 233013326760. Its totient is φ = 41216414976.

The previous prime is 103301257883. The next prime is 103301257963. The reversal of 103301257960 is 69752103301.

It can be written as a sum of positive squares in 4 ways, for example, as 71619393924 + 31681864036 = 267618^2 + 177994^2 .

It is a super-2 number, since 2×1033012579602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103301257963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3236679 + ... + 3268438.

Almost surely, 2103301257960 is an apocalyptic number.

103301257960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301257960 is an abundant number, since it is smaller than the sum of its proper divisors (129712068800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103301257960 is a wasteful number, since it uses less digits than its factorization.

103301257960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505525 (or 6505521 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 103301257960 in words is "one hundred three billion, three hundred one million, two hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 397 794 1588 1985 3176 3970 7940 15880 6505117 13010234 26020468 32525585 52040936 65051170 130102340 260204680 2582531449 5165062898 10330125796 12912657245 20660251592 25825314490 51650628980 103301257960