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212111019980 = 225237917333739
BaseRepresentation
bin1100010110001011001…
…1010100111111001100
3202021111101022020121222
43011202303110333030
511433400410114410
6241235323142512
721216210631106
oct3054263247714
9667441266558
10212111019980
1181a57160822
1235137674a38
13170044853a2
14a3a275c576
1557b6824955
hex3162cd4fcc

212111019980 has 96 divisors (see below), whose sum is σ = 473418086400. Its totient is φ = 79662705408.

The previous prime is 212111019917. The next prime is 212111020013. The reversal of 212111019980 is 89910111212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212111019980.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6269951 + ... + 6303689.

It is an arithmetic number, because the mean of its divisors is an integer number (4931438400).

Almost surely, 2212111019980 is an apocalyptic number.

212111019980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111019980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236709043200).

212111019980 is an abundant number, since it is smaller than the sum of its proper divisors (261307066420).

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

212111019980 is a wasteful number, since it uses less digits than its factorization.

212111019980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34023 (or 34021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 35.

The spelling of 212111019980 in words is "two hundred twelve billion, one hundred eleven million, nineteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 173 230 316 346 395 460 692 790 865 1580 1730 1817 3460 3634 3979 7268 7958 9085 13667 15916 18170 19895 27334 33739 36340 39790 54668 67478 68335 79580 134956 136670 168695 273340 314341 337390 628682 674780 775997 1257364 1551994 1571705 2665381 3103988 3143410 3879985 5330762 5836847 6286820 7759970 10661524 11673694 13326905 15519940 23347388 26653810 29184235 53307620 58368470 61303763 116736940 122607526 134247481 245215052 268494962 306518815 461110913 536989924 613037630 671237405 922221826 1226075260 1342474810 1844443652 2305554565 2684949620 4611109130 9222218260 10605550999 21211101998 42422203996 53027754995 106055509990 212111019980