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211031213130 = 232522324474297
BaseRepresentation
bin1100010010001001110…
…0001100010001001010
3202011201010110101002200
43010202130030101022
511424142442310010
6240540231141030
721150356500143
oct3044234142112
9664633411080
10211031213130
1181552688971
1234a95b14776
1316b91854a1a
14a2dd198aca
155751b2bcc0
hex312270c44a

211031213130 has 96 divisors (see below), whose sum is σ = 551495153664. Its totient is φ = 55986709248.

The previous prime is 211031213123. The next prime is 211031213143. The reversal of 211031213130 is 31312130112.

211031213130 is a `hidden beast` number, since 211 + 0 + 312 + 13 + 130 = 666.

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 47 ways as a sum of consecutive naturals, for example, 49109142 + ... + 49113438.

It is an arithmetic number, because the mean of its divisors is an integer number (5744741184).

Almost surely, 2211031213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211031213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275747576832).

211031213130 is an abundant number, since it is smaller than the sum of its proper divisors (340463940534).

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

211031213130 is a wasteful number, since it uses less digits than its factorization.

211031213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211031213130 its reverse (31312130112), we get a palindrome (242343343242).

The spelling of 211031213130 in words is "two hundred eleven billion, thirty-one million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 2447 3345 4014 4297 4894 6690 7341 8594 10035 12235 12891 14682 20070 21485 22023 24470 25782 36705 38673 42970 44046 64455 73410 77346 110115 128910 193365 220230 386730 545681 958231 1091362 1637043 1916462 2728405 2874693 3274086 4791155 4911129 5456810 5749386 8185215 8624079 9582310 9822258 10514759 14373465 16370430 17248158 21029518 24555645 28746930 31544277 43120395 49111290 52573795 63088554 86240790 94632831 105147590 157721385 189265662 315442770 473164155 946328310 2344791257 4689582514 7034373771 11723956285 14068747542 21103121313 23447912570 35171868855 42206242626 70343737710 105515606565 211031213130