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123120987 = 31117219467
BaseRepresentation
bin1110101011010…
…10110101011011
322120200012020120
413111222311123
5223004332422
620114524323
73023340213
oct725526533
9276605216
10123120987
1163553690
12352966a3
131c67a672
14124cd243
15ac2045c
hex756ad5b

123120987 has 16 divisors (see below), whose sum is σ = 189620352. Its totient is φ = 70229120.

The previous prime is 123120973. The next prime is 123121003. The reversal of 123120987 is 789021321.

It is a cyclic number.

It is not a de Polignac number, because 123120987 - 24 = 123120971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (123124987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109173 + ... + 110294.

It is an arithmetic number, because the mean of its divisors is an integer number (11851272).

Almost surely, 2123120987 is an apocalyptic number.

123120987 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

123120987 is a deficient number, since it is larger than the sum of its proper divisors (66499365).

123120987 is a wasteful number, since it uses less digits than its factorization.

123120987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219498.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 123120987 is about 11095.9896809613. The cubic root of 123120987 is about 497.4819898701.

The spelling of 123120987 in words is "one hundred twenty-three million, one hundred twenty thousand, nine hundred eighty-seven".

Divisors: 1 3 11 17 33 51 187 561 219467 658401 2414137 3730939 7242411 11192817 41040329 123120987