Search a number
-
+
5131821200 = 2452111166323
BaseRepresentation
bin1001100011110000…
…10110000010010000
3111020122102112020212
410301320112002100
541002221234300
62205120423252
7241112521562
oct46170260220
914218375225
105131821200
1121a3863250
12bb2777b28
1363a2642bc
143697b7332
152007e4935
hex131e16090

5131821200 has 60 divisors (see below), whose sum is σ = 13450048368. Its totient is φ = 1866115200.

The previous prime is 5131821187. The next prime is 5131821209. The reversal of 5131821200 is 21281315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5131821209) 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, 578762 + ... + 587561.

Almost surely, 25131821200 is an apocalyptic number.

5131821200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5131821200 is an abundant number, since it is smaller than the sum of its proper divisors (8318227168).

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

5131821200 is a wasteful number, since it uses less digits than its factorization.

5131821200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166352 (or 1166341 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 5131821200 is about 71636.7308020125. The cubic root of 5131821200 is about 1724.8731909862.

The spelling of 5131821200 in words is "five billion, one hundred thirty-one million, eight hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 1166323 2332646 4665292 5831615 9330584 11663230 12829553 18661168 23326460 25659106 29158075 46652920 51318212 58316150 64147765 93305840 102636424 116632300 128295530 205272848 233264600 256591060 320738825 466529200 513182120 641477650 1026364240 1282955300 2565910600 5131821200