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211210112101220 = 22531538972219943
BaseRepresentation
bin110000000001100000101111…
…101101000110101101100100
31000200211111012212021101110122
4300001200233231012231210
5210140431302144214340
62025112330324341112
762326266321062621
oct6001405755065544
91020744185241418
10211210112101220
1161330784054801
121b831b27244798
1390b10499ac13b
143a228a4261348
1519640d6820db5
hexc0182fb46b64

211210112101220 has 96 divisors (see below), whose sum is σ = 471729119016960. Its totient is φ = 79314829102080.

The previous prime is 211210112101111. The next prime is 211210112101223. The reversal of 211210112101220 is 22101211012112.

It is a super-2 number, since 2×2112101121012202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211210112101223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33185432 + ... + 39034511.

It is an arithmetic number, because the mean of its divisors is an integer number (4913844989760).

Almost surely, 2211210112101220 is an apocalyptic number.

211210112101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210112101220 is an abundant number, since it is smaller than the sum of its proper divisors (260519006915740).

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

211210112101220 is a wasteful number, since it uses less digits than its factorization.

211210112101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72220125 (or 72220123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211210112101220 its reverse (22101211012112), we get a palindrome (233311323113332).

The spelling of 211210112101220 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 89 106 124 155 178 212 265 310 356 445 530 620 890 1060 1643 1780 2759 3286 4717 5518 6572 8215 9434 11036 13795 16430 18868 23585 27590 32860 47170 55180 94340 146227 292454 584908 731135 1462270 2924540 72219943 144439886 288879772 361099715 722199430 1444398860 2238818233 3827656979 4477636466 6427574927 7655313958 8955272932 11194091165 12855149854 15310627916 19138284895 22388182330 25710299708 32137874635 38276569790 44776364660 64275749270 76553139580 118657366349 128551498540 199254822737 237314732698 340661471131 398509645474 474629465396 593286831745 681322942262 797019290948 996274113685 1186573663490 1362645884524 1703307355655 1992548227370 2373147326980 3406614711310 3985096454740 6813229422620 10560505605061 21121011210122 42242022420244 52802528025305 105605056050610 211210112101220