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122540977 = 1310193329
BaseRepresentation
bin1110100110111…
…01001110110001
322112120201121201
413103131032301
5222332302402
620054251201
73015403216
oct723351661
9275521551
10122540977
1163197939
1235056b01
131c506670
14123bbb0d
15ab58687
hex74dd3b1

122540977 has 8 divisors (see below), whose sum is σ = 133275240. Its totient is φ = 111993600.

The previous prime is 122540969. The next prime is 122540983. The reversal of 122540977 is 779045221.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 107143201 = 3924^2 + 10351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122540977 - 23 = 122540969 is a prime.

It is a super-2 number, since 2×1225409772 = 30032582088229058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122580977) 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, 45352 + ... + 47977.

It is an arithmetic number, because the mean of its divisors is an integer number (16659405).

Almost surely, 2122540977 is an apocalyptic number.

It is an amenable number.

122540977 is a deficient number, since it is larger than the sum of its proper divisors (10734263).

122540977 is a wasteful number, since it uses less digits than its factorization.

122540977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93443.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 122540977 is about 11069.8228079766. The cubic root of 122540977 is about 496.6995648574.

The spelling of 122540977 in words is "one hundred twenty-two million, five hundred forty thousand, nine hundred seventy-seven".

Divisors: 1 13 101 1313 93329 1213277 9426229 122540977