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211020112110120 = 23355113343927427
BaseRepresentation
bin101111111110101111110010…
…110100101010001000101000
31000200011022210102202210022020
4233332233302310222020220
5210124323142200010440
62024445145021224440
762306462044565535
oct5776576264521050
91020138712683266
10211020112110120
1161268144004275
121b801140702120
13909915a3814c1
143a175dc305d8c
15195e1b625c3d0
hexbfebf2d2a228

211020112110120 has 64 divisors (see below), whose sum is σ = 633184152045120. Its totient is φ = 56261024054784.

The previous prime is 211020112110113. The next prime is 211020112110151. The reversal of 211020112110120 is 21011211020112.

It is a happy number.

It is a super-2 number, since 2×2110201121101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211020112110120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171350154 + ... + 172577273.

It is an arithmetic number, because the mean of its divisors is an integer number (9893502375705).

Almost surely, 2211020112110120 is an apocalyptic number.

211020112110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020112110120 is an abundant number, since it is smaller than the sum of its proper divisors (422164039935000).

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

211020112110120 is a wasteful number, since it uses less digits than its factorization.

211020112110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343932554 (or 343932550 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211020112110120 its reverse (21011211020112), we get a palindrome (232031323130232).

The spelling of 211020112110120 in words is "two hundred eleven trillion, twenty billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5113 10226 15339 20452 25565 30678 40904 51130 61356 76695 102260 122712 153390 204520 306780 613560 343927427 687854854 1031782281 1375709708 1719637135 2063564562 2751419416 3439274270 4127129124 5158911405 6878548540 8254258248 10317822810 13757097080 20635645620 41271291240 1758500934251 3517001868502 5275502802753 7034003737004 8792504671255 10551005605506 14068007474008 17585009342510 21102011211012 26377514013765 35170018685020 42204022422024 52755028027530 70340037370040 105510056055060 211020112110120