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122116580 = 2256105829
BaseRepresentation
bin1110100011101…
…01100111100100
322111210011110022
413101311213210
5222230212310
620041214312
73011655005
oct721654744
9274704408
10122116580
1162a27aa3
1234a91398
131c3b8441
141230b1ac
15aac2a55
hex74759e4

122116580 has 12 divisors (see below), whose sum is σ = 256444860. Its totient is φ = 48846624.

The previous prime is 122116543. The next prime is 122116601. The reversal of 122116580 is 85611221.

It can be written as a sum of positive squares in 2 ways, for example, as 14455204 + 107661376 = 3802^2 + 10376^2 .

It is a super-2 number, since 2×1221165802 = 29824918221792800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3052895 + ... + 3052934.

It is an arithmetic number, because the mean of its divisors is an integer number (21370405).

Almost surely, 2122116580 is an apocalyptic number.

122116580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122116580 is an abundant number, since it is smaller than the sum of its proper divisors (134328280).

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

122116580 is a wasteful number, since it uses less digits than its factorization.

122116580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105838 (or 6105836 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 122116580 is about 11050.6370857069. The cubic root of 122116580 is about 496.1254939569.

The spelling of 122116580 in words is "one hundred twenty-two million, one hundred sixteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 6105829 12211658 24423316 30529145 61058290 122116580