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2130837921 = 342322232
BaseRepresentation
bin111111100000010…
…0000000110100001
312111111112210010000
41333000200012201
513330443303141
6551235130213
7103542552312
oct17700400641
95444483100
102130837921
119a3891083
124b5743969
1327c5c7354
14162dd6609
15c71095b6
hex7f0201a1

2130837921 has 45 divisors (see below), whose sum is σ = 3342505089. Its totient is φ = 1352701944.

The previous prime is 2130837899. The next prime is 2130837931. The reversal of 2130837921 is 1297380312.

The square root of 2130837921 is 46161.

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

It is not a de Polignac number, because 2130837921 - 25 = 2130837889 is a prime.

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 a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2130837931) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9555216 + ... + 9555438.

Almost surely, 22130837921 is an apocalyptic number.

2130837921 is the 46161-st square number.

2130837921 is the 23081-st centered octagonal number.

It is an amenable number.

2130837921 is a deficient number, since it is larger than the sum of its proper divisors (1211667168).

2130837921 is an frugal number, since it uses more digits than its factorization.

2130837921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 2130837921 is about 1286.8170473632.

Multiplying 2130837921 by its sum of digits (36), we get a square (76710165156 = 2769662).

The spelling of 2130837921 in words is "two billion, one hundred thirty million, eight hundred thirty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 23 27 69 81 207 223 529 621 669 1587 1863 2007 4761 5129 6021 14283 15387 18063 42849 46161 49729 117967 138483 149187 353901 415449 447561 1061703 1143767 1342683 3185109 3431301 4028049 9555327 10293903 26306641 30881709 78919923 92645127 236759769 710279307 2130837921