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212303131133130 = 23252586979118481
BaseRepresentation
bin110000010001011010101100…
…101101110100010011001010
31000211200222111020102020021200
4300101122230231310103022
5210311333303032230010
62031310413443445030
762501252334415542
oct6021325455642312
91024628436366250
10212303131133130
1161712285880084
121b989929086776
13916013a3b605b
143a5d752524322
1519827594b6cc0
hexc116acb744ca

212303131133130 has 48 divisors (see below), whose sum is σ = 551990335206024. Its totient is φ = 56613943249920.

The previous prime is 212303131133053. The next prime is 212303131133147. The reversal of 212303131133130 is 31331131303212.

212303131133130 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 31 + 311 + 3 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138190299060969 + 74112832072161 = 11755437^2 + 8608881^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212303131133094 and 212303131133103.

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, 18723490 + ... + 27841970.

Almost surely, 2212303131133130 is an apocalyptic number.

212303131133130 is an abundant number, since it is smaller than the sum of its proper divisors (339687204072894).

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

212303131133130 is a wasteful number, since it uses less digits than its factorization.

212303131133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377191 (or 9377188 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 212303131133130 its reverse (31331131303212), we get a palindrome (243634262436342).

The spelling of 212303131133130 in words is "two hundred twelve trillion, three hundred three billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 258697 517394 776091 1293485 1552182 2328273 2586970 3880455 4656546 7760910 9118481 11641365 18236962 23282730 27355443 45592405 54710886 82066329 91184810 136777215 164132658 273554430 410331645 820663290 2358923679257 4717847358514 7076771037771 11794618396285 14153542075542 21230313113313 23589236792570 35383855188855 42460626226626 70767710377710 106151565566565 212303131133130