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103256940560 = 2451775924221
BaseRepresentation
bin110000000101010010…
…1111110000000010000
3100212112011011001202212
41200022211332000100
53142432234044220
6115234030331252
710313542341014
oct1401245760020
9325464131685
10103256940560
113a87793a814
1218018659b28
1399774c67c7
144dd782c544
152a451340c5
hex180a97e010

103256940560 has 40 divisors (see below), whose sum is σ = 254194295256. Its totient is φ = 38873200640.

The previous prime is 103256940539. The next prime is 103256940571. The reversal of 103256940560 is 65049652301.

It can be written as a sum of positive squares in 4 ways, for example, as 18326661376 + 84930279184 = 135376^2 + 291428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1032569405602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37960751 + ... + 37963470.

Almost surely, 2103256940560 is an apocalyptic number.

103256940560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103256940560 is an abundant number, since it is smaller than the sum of its proper divisors (150937354696).

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

103256940560 is a wasteful number, since it uses less digits than its factorization.

103256940560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75924251 (or 75924245 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 103256940560 in words is "one hundred three billion, two hundred fifty-six million, nine hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 75924221 151848442 303696884 379621105 607393768 759242210 1214787536 1290711757 1518484420 2581423514 3036968840 5162847028 6073937680 6453558785 10325694056 12907117570 20651388112 25814235140 51628470280 103256940560