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2151835381 = 37731097309
BaseRepresentation
bin1000000001000010…
…0110011011110101
312112222001120012201
42000100212123311
513401332213011
6553305144501
7104216204353
oct20020463365
95488046181
102151835381
11a04722853
1250078b131
13283a69797
14165b007d3
15c8da5cc1
hex804266f5

2151835381 has 16 divisors (see below), whose sum is σ = 2261129200. Its totient is φ = 2045772288.

The previous prime is 2151835363. The next prime is 2151835391. The reversal of 2151835381 is 1835381512.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 230766481 + 1921068900 = 15191^2 + 43830^2 .

It is a cyclic number.

It is not a de Polignac number, because 2151835381 - 29 = 2151834869 is a prime.

It is a super-2 number, since 2×21518353812 = 9260791013846830322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2151835381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151835321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290755 + ... + 298063.

It is an arithmetic number, because the mean of its divisors is an integer number (141320575).

It is a Poulet number, since it divides 22151835380-1.

Almost surely, 22151835381 is an apocalyptic number.

It is an amenable number.

2151835381 is a deficient number, since it is larger than the sum of its proper divisors (109293819).

2151835381 is a wasteful number, since it uses less digits than its factorization.

2151835381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528.

The product of its digits is 28800, while the sum is 37.

The square root of 2151835381 is about 46387.8796777779. The cubic root of 2151835381 is about 1291.0300410426.

The spelling of 2151835381 in words is "two billion, one hundred fifty-one million, eight hundred thirty-five thousand, three hundred eighty-one".

Divisors: 1 37 73 109 2701 4033 7309 7957 270433 294409 533557 796681 19741609 29477197 58157713 2151835381