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212012020102220 = 225134993080353051
BaseRepresentation
bin110000001101001011100101…
…001001010111010001001100
31000210200011002012122121202222
4300031023211021113101030
5210242101104121232340
62030524551044034512
762441235333450032
oct6015134511272114
91023604065577688
10212012020102220
116160a87a229928
121b941424692a38
13913b856031090
143a4d617b74552
151979dbc3a18b5
hexc0d2e525744c

212012020102220 has 96 divisors (see below), whose sum is σ = 480458859552000. Its totient is φ = 78120475948800.

The previous prime is 212012020102199. The next prime is 212012020102277. The reversal of 212012020102220 is 22201020210212.

It is a happy number.

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, 3996354695 + ... + 3996407745.

It is an arithmetic number, because the mean of its divisors is an integer number (5004779787000).

Almost surely, 2212012020102220 is an apocalyptic number.

212012020102220 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 212012020102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240229429776000).

212012020102220 is an abundant number, since it is smaller than the sum of its proper divisors (268446839449780).

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

212012020102220 is a wasteful number, since it uses less digits than its factorization.

212012020102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84375 (or 84373 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212012020102220 its reverse (22201020210212), we get a palindrome (234213040312432).

The spelling of 212012020102220 in words is "two hundred twelve trillion, twelve billion, twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 499 998 1996 2495 4990 6487 9980 12974 25948 30803 32435 53051 61606 64870 106102 123212 129740 154015 212204 265255 308030 400439 530510 616060 689663 800878 1061020 1379326 1601756 2002195 2758652 3448315 4004390 6896630 8008780 13793260 15370697 26472449 30741394 52944898 61482788 76853485 105889796 132362245 153706970 199819061 264724490 307413940 344141837 399638122 529448980 688283674 799276244 999095305 1376567348 1634129953 1720709185 1998190610 3268259906 3441418370 3996381220 6536519812 6882836740 8170649765 16341299530 21243689389 32682599060 42487378778 84974757556 106218446945 212436893890 424873787780 815430846547 1630861693094 3261723386188 4077154232735 8154308465470 10600601005111 16308616930940 21201202010222 42402404020444 53003005025555 106006010051110 212012020102220