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211210100010120 = 23357163992456849
BaseRepresentation
bin110000000001100000101110…
…111110111110110010001000
31000200211111012000112002121010
4300001200232332332302020
5210140431241100310440
62025112325213243520
762326266113233611
oct6001405676766210
91020744160462533
10211210100010120
1161330778246562
121b831b231935a0
1390b1047337843
143a228a27d4c08
1519640d5733580
hexc0182efbec88

211210100010120 has 64 divisors (see below), whose sum is σ = 633631442400000. Its totient is φ = 56322591792128.

The previous prime is 211210100010053. The next prime is 211210100010131. The reversal of 211210100010120 is 21010001012112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211210100010096 and 211210100010105.

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, 84739456 + ... + 87196304.

It is an arithmetic number, because the mean of its divisors is an integer number (9900491287500).

Almost surely, 2211210100010120 is an apocalyptic number.

211210100010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210100010120 is an abundant number, since it is smaller than the sum of its proper divisors (422421342389880).

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

211210100010120 is a wasteful number, since it uses less digits than its factorization.

211210100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173262 (or 3173258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211210100010120 its reverse (21010001012112), we get a palindrome (232220101022232).

The spelling of 211210100010120 in words is "two hundred eleven trillion, two hundred ten billion, one hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 716399 1432798 2149197 2456849 2865596 3581995 4298394 4913698 5731192 7163990 7370547 8596788 9827396 10745985 12284245 14327980 14741094 17193576 19654792 21491970 24568490 28655960 29482188 36852735 42983940 49136980 58964376 73705470 85967880 98273960 147410940 294821880 1760084166751 3520168333502 5280252500253 7040336667004 8800420833755 10560505000506 14080673334008 17600841667510 21121010001012 26401262501265 35201683335020 42242020002024 52802525002530 70403366670040 105605050005060 211210100010120