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211211111012020 = 225721491446453301
BaseRepresentation
bin110000000001100001101011…
…001111101001011010110100
31000200211120210110220022110221
4300001201223033221122310
5210140440323404341040
62025113013410424124
762326333140506200
oct6001415317513264
91020746713808427
10211211111012020
11613311469a4219
121b832165892044
1390b1178927612
143a2295aba7b00
15196414438974a
hexc0186b3e96b4

211211111012020 has 72 divisors (see below), whose sum is σ = 519421380748200. Its totient is φ = 71929229702400.

The previous prime is 211211111011963. The next prime is 211211111012023. The reversal of 211211111012020 is 20210111112112.

It can be written as a sum of positive squares in 4 ways, for example, as 9107527265424 + 202103583746596 = 3017868^2 + 14216314^2 .

It is a super-2 number, since 2×2112111110120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211111011985 and 211211111012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211111012023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723080631 + ... + 723372670.

It is an arithmetic number, because the mean of its divisors is an integer number (7214185843725).

Almost surely, 2211211111012020 is an apocalyptic number.

211211111012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211111012020 is an abundant number, since it is smaller than the sum of its proper divisors (308210269736180).

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

211211111012020 is a wasteful number, since it uses less digits than its factorization.

211211111012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446453473 (or 1446453464 counting only the distinct ones).

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

Adding to 211211111012020 its reverse (20210111112112), we get a palindrome (231421222124132).

The spelling of 211211111012020 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 20860 29204 36505 73010 146020 1446453301 2892906602 5785813204 7232266505 10125173107 14464533010 20250346214 28929066020 40500692428 50625865535 70876211749 101251731070 141752423498 202503462140 215521541849 283504846996 354381058745 431043083698 708762117490 862086167396 1077607709245 1417524234980 1508650792943 2155215418490 3017301585886 4310430836980 6034603171772 7543253964715 10560555550601 15086507929430 21121111101202 30173015858860 42242222202404 52802777753005 105605555506010 211211111012020