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2132123634 = 23431214217
BaseRepresentation
bin111111100010101…
…1001111111110010
312111120222002210000
41333011121333302
513331310424014
6551322450430
7103556515614
oct17705317762
95446862700
102132123634
119a458a053
124b6063a16
1327c957624
1416324cdb4
15c72b0509
hex7f159ff2

2132123634 has 40 divisors (see below), whose sum is σ = 4780200348. Its totient is φ = 710311680.

The previous prime is 2132123597. The next prime is 2132123639. The reversal of 2132123634 is 4363212312.

2132123634 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 23 + 634 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2079633609 + 52490025 = 45603^2 + 7245^2 .

It is a super-2 number, since 2×21321236342 = 9091902381322731912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2132123598 and 2132123607.

It is not an unprimeable number, because it can be changed into a prime (2132123639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 503494 + ... + 507710.

Almost surely, 22132123634 is an apocalyptic number.

2132123634 is an abundant number, since it is smaller than the sum of its proper divisors (2648076714).

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

2132123634 is a wasteful number, since it uses less digits than its factorization.

2132123634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7343 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2132123634 is about 46174.9242988010. The cubic root of 2132123634 is about 1287.0758101626.

Adding to 2132123634 its reverse (4363212312), we get a palindrome (6495335946).

The spelling of 2132123634 in words is "two billion, one hundred thirty-two million, one hundred twenty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 3121 4217 6242 8434 9363 12651 18726 25302 28089 37953 56178 75906 84267 113859 168534 227718 252801 341577 505602 683154 13161257 26322514 39483771 78967542 118451313 236902626 355353939 710707878 1066061817 2132123634