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2111131332 = 2232173449561
BaseRepresentation
bin111110111010101…
…0100111011000100
312110010110120202100
41331311110323010
513310422200312
6545252512100
7103213214562
oct17565247304
95403416670
102111131332
11993751242
124ab01b630
132784b764b
14160546a32
15c55155dc
hex7dd54ec4

2111131332 has 36 divisors (see below), whose sum is σ = 5650382556. Its totient is φ = 662315520.

The previous prime is 2111131331. The next prime is 2111131343. The reversal of 2111131332 is 2331311112.

It can be written as a sum of positive squares in 2 ways, for example, as 1483328196 + 627803136 = 38514^2 + 25056^2 .

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

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 (2111131331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1724169 + ... + 1725392.

It is an arithmetic number, because the mean of its divisors is an integer number (156955071).

Almost surely, 22111131332 is an apocalyptic number.

It is an amenable number.

2111131332 is an abundant number, since it is smaller than the sum of its proper divisors (3539251224).

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

2111131332 is a wasteful number, since it uses less digits than its factorization.

2111131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449588 (or 3449583 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2111131332 is about 45947.0492197268. The cubic root of 2111131332 is about 1282.8378062080.

Adding to 2111131332 its reverse (2331311112), we get a palindrome (4442442444).

The spelling of 2111131332 in words is "two billion, one hundred eleven million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3449561 6899122 10348683 13798244 20697366 31046049 41394732 58642537 62092098 117285074 124184196 175927611 234570148 351855222 527782833 703710444 1055565666 2111131332