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2013132112 = 241737200033
BaseRepresentation
bin111011111111101…
…1111010101010000
312012022001201002121
41313333133111100
513110330211422
6531432224024
7100613224555
oct16777372520
95168051077
102013132112
119433a6a52
1248223b014
132610c4744
14151516a2c
15bbb088c7
hex77fdf550

2013132112 has 40 divisors (see below), whose sum is σ = 4241520936. Its totient is φ = 921747456.

The previous prime is 2013132073. The next prime is 2013132131. The reversal of 2013132112 is 2112313102.

It can be written as a sum of positive squares in 4 ways, for example, as 1250046736 + 763085376 = 35356^2 + 27624^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89953 + ... + 110080.

Almost surely, 22013132112 is an apocalyptic number.

It is an amenable number.

2013132112 is an abundant number, since it is smaller than the sum of its proper divisors (2228388824).

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

2013132112 is a wasteful number, since it uses less digits than its factorization.

2013132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200095 (or 200089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2013132112 is about 44867.9408040975. The cubic root of 2013132112 is about 1262.6726070836.

Adding to 2013132112 its reverse (2112313102), we get a palindrome (4125445214).

It can be divided in two parts, 201 and 3132112, that added together give a palindrome (3132313).

The spelling of 2013132112 in words is "two billion, thirteen million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 10064 200033 400066 800132 1600264 3200528 3400561 6801122 7401221 13602244 14802442 27204488 29604884 54408976 59209768 118419536 125820757 251641514 503283028 1006566056 2013132112