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2120157 = 321318121
BaseRepresentation
bin1000000101100111011101
310222201022100
420011213131
51020321112
6113235313
724010134
oct10054735
93881270
102120157
1112189a6
12862b39
13593040
143d291b
152bd2dc
hex2059dd

2120157 has 12 divisors (see below), whose sum is σ = 3298204. Its totient is φ = 1304640.

The previous prime is 2120147. The next prime is 2120171. The reversal of 2120157 is 7510212.

2120157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 1610361 = 714^2 + 1269^2 .

It is not a de Polignac number, because 2120157 - 26 = 2120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8944 + ... + 9177.

22120157 is an apocalyptic number.

It is an amenable number.

2120157 is a deficient number, since it is larger than the sum of its proper divisors (1178047).

2120157 is a wasteful number, since it uses less digits than its factorization.

2120157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18140 (or 18137 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2120157 is about 1456.0758908793. The cubic root of 2120157 is about 128.4663368749.

Adding to 2120157 its reverse (7510212), we get a palindrome (9630369).

The spelling of 2120157 in words is "two million, one hundred twenty thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 39 117 18121 54363 163089 235573 706719 2120157