Search a number
-
+
2013312132 = 22331310491367
BaseRepresentation
bin111100000000000…
…1011010010000100
312012022101212001000
41320000023102010
513110401442012
6531440133300
7100614604446
oct17000132204
95168355030
102013312132
1194350a227
12482307230
13261158670
14151562496
15bbb41ddc
hex7800b484

2013312132 has 96 divisors (see below), whose sum is σ = 5630688000. Its totient is φ = 618437376.

The previous prime is 2013312131. The next prime is 2013312149. The reversal of 2013312132 is 2312133102.

2013312132 is a `hidden beast` number, since 201 + 331 + 2 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2013312131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1472113 + ... + 1473479.

It is an arithmetic number, because the mean of its divisors is an integer number (58653000).

Almost surely, 22013312132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344000).

2013312132 is an abundant number, since it is smaller than the sum of its proper divisors (3617375868).

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

2013312132 is a wasteful number, since it uses less digits than its factorization.

2013312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2013312132 is about 44869.9468687004. The cubic root of 2013312132 is about 1262.7102432206.

Adding to 2013312132 its reverse (2312133102), we get a palindrome (4325445234).

The spelling of 2013312132 in words is "two billion, thirteen million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1049 1367 1404 2098 2734 3147 4101 4196 5468 6294 8202 9441 12303 12588 13637 16404 17771 18882 24606 27274 28323 35542 36909 37764 40911 49212 53313 54548 56646 71084 73818 81822 106626 113292 122733 147636 159939 163644 213252 245466 319878 368199 479817 490932 639756 736398 959634 1433983 1472796 1919268 2867966 4301949 5735932 8603898 12905847 17207796 18641779 25811694 37283558 38717541 51623388 55925337 74567116 77435082 111850674 154870164 167776011 223701348 335552022 503328033 671104044 1006656066 2013312132