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120099681 = 321322812
BaseRepresentation
bin1110010100010…
…01001101100001
322100222200210100
413022021031201
5221221142211
615530053013
72655554562
oct712111541
9270880710
10120099681
116187a739
123427a169
131bb60400
1411d44169
15a825156
hex7289361

120099681 has 27 divisors (see below), whose sum is σ = 188519097. Its totient is φ = 73644480.

The previous prime is 120099653. The next prime is 120099691. The reversal of 120099681 is 186990021.

The square root of 120099681 is 10959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5267025 + 114832656 = 2295^2 + 10716^2 .

It is a de Polignac number, because none of the positive numbers 2k-120099681 is a prime.

It is a super-2 number, since 2×1200996812 = 28847866752603522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120099601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 427261 + ... + 427541.

Almost surely, 2120099681 is an apocalyptic number.

120099681 is the 10959-th square number.

120099681 is the 5480-th centered octagonal number.

It is an amenable number.

120099681 is a deficient number, since it is larger than the sum of its proper divisors (68419416).

120099681 is an equidigital number, since it uses as much as digits as its factorization.

120099681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The cubic root of 120099681 is about 493.3789517815.

Multiplying 120099681 by its sum of digits (36), we get a square (4323588516 = 657542).

The spelling of 120099681 in words is "one hundred twenty million, ninety-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 13 39 117 169 281 507 843 1521 2529 3653 10959 32877 47489 78961 142467 236883 427401 710649 1026493 3079479 9238437 13344409 40033227 120099681