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122132980 = 22561100109
BaseRepresentation
bin1110100011110…
…01100111110100
322111210222221201
413101321213310
5222231223410
620041422244
73012053554
oct721714764
9274728851
10122132980
1162a39352
1234a9a984
131c3c2a48
1412313164
15aac783a
hex74799f4

122132980 has 24 divisors (see below), whose sum is σ = 260686440. Its totient is φ = 48051840.

The previous prime is 122132977. The next prime is 122133019. The reversal of 122132980 is 89231221.

It can be written as a sum of positive squares in 4 ways, for example, as 6441444 + 115691536 = 2538^2 + 10756^2 .

It is a congruent number.

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, 48835 + ... + 51274.

It is an arithmetic number, because the mean of its divisors is an integer number (10861935).

Almost surely, 2122132980 is an apocalyptic number.

122132980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122132980 is an abundant number, since it is smaller than the sum of its proper divisors (138553460).

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

122132980 is a wasteful number, since it uses less digits than its factorization.

122132980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100179 (or 100177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 122132980 is about 11051.3790994608. The cubic root of 122132980 is about 496.1477024997.

The spelling of 122132980 in words is "one hundred twenty-two million, one hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 100109 200218 400436 500545 1001090 2002180 6106649 12213298 24426596 30533245 61066490 122132980