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2111232132 = 2232292022253
BaseRepresentation
bin111110111010110…
…1101100010000100
312110010122201000200
41331311231202010
513310433412012
6545255010500
7103214114502
oct17565554204
95403581020
102111232132
1199380aa49
124ab069a30
132785214a9
14160571672
15c55353dc
hex7dd6d884

2111232132 has 36 divisors (see below), whose sum is σ = 5520753420. Its totient is φ = 679476672.

The previous prime is 2111232131. The next prime is 2111232181. The reversal of 2111232132 is 2312321112.

It can be written as a sum of positive squares in 2 ways, for example, as 1806590016 + 304642116 = 42504^2 + 17454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21112321322 = 8914602230378530848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2111232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1010083 + ... + 1012170.

Almost surely, 22111232132 is an apocalyptic number.

It is an amenable number.

2111232132 is an abundant number, since it is smaller than the sum of its proper divisors (3409521288).

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

2111232132 is a wasteful number, since it uses less digits than its factorization.

2111232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022292 (or 2022287 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2111232132 is about 45948.1461214705. The cubic root of 2111232132 is about 1282.8582230639.

Adding to 2111232132 its reverse (2312321112), we get a palindrome (4423553244).

The spelling of 2111232132 in words is "two billion, one hundred eleven million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2022253 4044506 6066759 8089012 12133518 18200277 24267036 36400554 58645337 72801108 117290674 175936011 234581348 351872022 527808033 703744044 1055616066 2111232132