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2131132104 = 23321713113291
BaseRepresentation
bin111111100000110…
…0111111011001000
312111112002201122200
41333001213323020
513331032211404
6551245320200
7103545216063
oct17701477310
95445081580
102131132104
119a3a72102
124b5866060
1327c69b21a
141630718da
15c7166839
hex7f067ec8

2131132104 has 96 divisors (see below), whose sum is σ = 6158449440. Its totient is φ = 663436800.

The previous prime is 2131132049. The next prime is 2131132117. The reversal of 2131132104 is 4012311312.

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

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, 153699 + ... + 166989.

It is an arithmetic number, because the mean of its divisors is an integer number (64150515).

Almost surely, 22131132104 is an apocalyptic number.

2131132104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079224720).

2131132104 is an abundant number, since it is smaller than the sum of its proper divisors (4027317336).

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

2131132104 is a wasteful number, since it uses less digits than its factorization.

2131132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13451 (or 13444 counting only the distinct ones).

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

The square root of 2131132104 is about 46164.1863786204. The cubic root of 2131132104 is about 1286.8762638614.

Adding to 2131132104 its reverse (4012311312), we get a palindrome (6143443416).

The spelling of 2131132104 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 131 136 153 204 262 306 393 408 524 612 786 1048 1179 1224 1572 2227 2358 3144 4454 4716 6681 8908 9432 13291 13362 17816 20043 26582 26724 39873 40086 53164 53448 79746 80172 106328 119619 159492 160344 225947 239238 318984 451894 478476 677841 903788 956952 1355682 1741121 1807576 2033523 2711364 3482242 4067046 5223363 5422728 6964484 8134092 10446726 13928968 15670089 16268184 20893452 29599057 31340178 41786904 59198114 62680356 88797171 118396228 125360712 177594342 236792456 266391513 355188684 532783026 710377368 1065566052 2131132104