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2131132410 = 2335111742209
BaseRepresentation
bin111111100000110…
…0111111111111010
312111112002202002000
41333001213333322
513331032214120
6551245321430
7103545220011
oct17701477772
95445082060
102131132410
119a3a72360
124b5866276
1327c69b3c4
14163071a78
15c7166990
hex7f067ffa

2131132410 has 128 divisors (see below), whose sum is σ = 6564499200. Its totient is φ = 486236160.

The previous prime is 2131132391. The next prime is 2131132411. The reversal of 2131132410 is 142311312.

2131132410 is a `hidden beast` number, since 21 + 311 + 324 + 10 = 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 (2131132411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29386 + ... + 71594.

It is an arithmetic number, because the mean of its divisors is an integer number (51285150).

Almost surely, 22131132410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282249600).

2131132410 is an abundant number, since it is smaller than the sum of its proper divisors (4433366790).

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

2131132410 is a wasteful number, since it uses less digits than its factorization.

2131132410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42253 (or 42247 counting only the distinct ones).

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

The square root of 2131132410 is about 46164.1896928777. The cubic root of 2131132410 is about 1286.8763254537.

Adding to 2131132410 its reverse (142311312), we get a palindrome (2273443722).

The spelling of 2131132410 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2970 3366 4590 5049 5610 8415 10098 16830 25245 42209 50490 84418 126627 211045 253254 379881 422090 464299 633135 717553 759762 928598 1139643 1266270 1392897 1435106 1899405 2152659 2279286 2321495 2785794 3587765 3798810 4178691 4305318 4642990 5698215 6457977 6964485 7175530 7893083 8357382 10763295 11396430 12536073 12915954 13928970 15786166 19373931 20893455 21526590 23679249 25072146 32289885 38747862 39465415 41786910 47358498 62680365 64579770 71037747 78930830 96869655 118396245 125360730 142075494 193739310 213113241 236792490 355188735 426226482 710377470 1065566205 2131132410