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2135102167 = 112324773407
BaseRepresentation
bin111111101000011…
…0001001011010111
312111210120102120001
41333100301023113
513333041232132
6551510352131
7103624032442
oct17720611327
95453512501
102135102167
119a6233950
124b705b647
1328045b283
141637c6659
15c769cce7
hex7f4312d7

2135102167 has 16 divisors (see below), whose sum is σ = 2432166912. Its totient is φ = 1855316320.

The previous prime is 2135102161. The next prime is 2135102171. The reversal of 2135102167 is 7612015312.

It is a happy number.

It is not a de Polignac number, because 2135102167 - 23 = 2135102159 is a prime.

It is a super-3 number, since 3×21351021673 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135102161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624978 + ... + 628384.

It is an arithmetic number, because the mean of its divisors is an integer number (152010432).

Almost surely, 22135102167 is an apocalyptic number.

2135102167 is a deficient number, since it is larger than the sum of its proper divisors (297064745).

2135102167 is a wasteful number, since it uses less digits than its factorization.

2135102167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2135102167 is about 46207.1657538092. The cubic root of 2135102167 is about 1287.6748707963.

Adding to 2135102167 its reverse (7612015312), we get a palindrome (9747117479).

The spelling of 2135102167 in words is "two billion, one hundred thirty-five million, one hundred two thousand, one hundred sixty-seven".

Divisors: 1 11 23 253 2477 3407 27247 37477 56971 78361 626681 861971 8439139 92830529 194100197 2135102167