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2102132322 = 232535414073
BaseRepresentation
bin111110101001011…
…1111111001100010
312102111112101102200
41331102333321202
513301121213242
6544331554030
7103043554443
oct17522777142
95374471380
102102132322
11989665144
124a7bbb916
132766865a4
1415d2832ca
15c483904c
hex7d4bfe62

2102132322 has 48 divisors (see below), whose sum is σ = 4650275448. Its totient is φ = 686050560.

The previous prime is 2102132267. The next prime is 2102132341. The reversal of 2102132322 is 2232312012.

2102132322 is a `hidden beast` number, since 210 + 2 + 132 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1517024601 + 585107721 = 38949^2 + 24189^2 .

It is a super-2 number, since 2×21021323222 = 8837920598394223368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102132295 and 2102132304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514078 + ... + 518150.

Almost surely, 22102132322 is an apocalyptic number.

2102132322 is an abundant number, since it is smaller than the sum of its proper divisors (2548143126).

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

2102132322 is a wasteful number, since it uses less digits than its factorization.

2102132322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2102132322 is about 45849.0165870545. The cubic root of 2102132322 is about 1281.0124480725.

Adding to 2102132322 its reverse (2232312012), we get a palindrome (4334444334).

The spelling of 2102132322 in words is "two billion, one hundred two million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 541 954 1082 1623 3246 4073 4869 8146 9738 12219 24438 28673 36657 57346 73314 86019 172038 215869 258057 431738 516114 647607 1295214 1942821 2203493 3885642 4406986 6610479 13220958 19831437 39662874 116785129 233570258 350355387 700710774 1051066161 2102132322