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211210120011220 = 2251123122099341863
BaseRepresentation
bin110000000001100000110000…
…001011010001110111010100
31000200211111020102011020221121
4300001200300023101313110
5210140431311210324340
62025112331210053324
762326266445236061
oct6001406013216724
91020744212136847
10211210120011220
11613307885676a0
121b831b29a1a244
1390b104b51b605
143a228a531dc68
1519640d738494a
hexc018302d1dd4

211210120011220 has 96 divisors (see below), whose sum is σ = 504906325862400. Its totient is φ = 73463572997760.

The previous prime is 211210120011179. The next prime is 211210120011223. The reversal of 211210120011220 is 22110021012112.

It is a junction number, because it is equal to n+sod(n) for n = 211210120011194 and 211210120011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210120011223) 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, 617650009 + ... + 617991871.

It is an arithmetic number, because the mean of its divisors is an integer number (5259440894400).

Almost surely, 2211210120011220 is an apocalyptic number.

211210120011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210120011220 is an abundant number, since it is smaller than the sum of its proper divisors (293696205851180).

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

211210120011220 is a wasteful number, since it uses less digits than its factorization.

211210120011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464005 (or 464003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211210120011220 its reverse (22110021012112), we get a palindrome (233320141023332).

The spelling of 211210120011220 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 122099 244198 341863 488396 610495 683726 1220990 1343089 1367452 1709315 2441980 2686178 2808277 3418630 3760493 5372356 5616554 6715445 6837260 7520986 7862849 11233108 13430890 14041385 15041972 15725698 18802465 26861780 28082770 30891047 31451396 37604930 39314245 56165540 61782094 75209860 78628490 86491339 123564188 154455235 157256980 172982678 308910470 345965356 432456695 617820940 864913390 1729826780 41741130437 83482260874 166964521748 208705652185 417411304370 459152434807 834822608740 918304869614 960046000051 1836609739228 1920092000102 2295762174035 3840184000204 4591524348070 4800230000255 9183048696140 9600460000510 10560506000561 19200920001020 21121012001122 42242024002244 52802530002805 105605060005610 211210120011220