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105321240520 = 23516371608449
BaseRepresentation
bin110001000010110100…
…0101001011111001000
3101001212000111100221221
41202011220221133020
53211144214144040
6120214531411424
710415646526156
oct1420550513710
9331760440857
10105321240520
1140737104941
12184b3a53b74
139c16095082
145151a643d6
152b1649874a
hex1885a297c8

105321240520 has 32 divisors (see below), whose sum is σ = 237117699000. Its totient is φ = 42102734848.

The previous prime is 105321240503. The next prime is 105321240551. The reversal of 105321240520 is 25042123501.

It can be written as a sum of positive squares in 4 ways, for example, as 89660720356 + 15660520164 = 299434^2 + 125142^2 .

It is a super-2 number, since 2×1053212405202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738745 + ... + 869704.

Almost surely, 2105321240520 is an apocalyptic number.

105321240520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105321240520 is an abundant number, since it is smaller than the sum of its proper divisors (131796458480).

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

105321240520 is a wasteful number, since it uses less digits than its factorization.

105321240520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610097 (or 1610093 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 105321240520 in words is "one hundred five billion, three hundred twenty-one million, two hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1637 3274 6548 8185 13096 16370 32740 65480 1608449 3216898 6433796 8042245 12867592 16084490 32168980 64337960 2633031013 5266062026 10532124052 13165155065 21064248104 26330310130 52660620260 105321240520