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20212121020 = 22571338928549
BaseRepresentation
bin10010110100101111…
…000111110110111100
31221011121200010120211
4102310233013312330
5312343300333040
613141343522204
71313606123350
oct226457076674
957147603524
1020212121020
118632240753
123b00bb9364
131ba1617030
14d9a541460
157d46bb8ea
hex4b4bc7dbc

20212121020 has 96 divisors (see below), whose sum is σ = 52376688000. Its totient is φ = 6380135424.

The previous prime is 20212121009. The next prime is 20212121021. The reversal of 20212121020 is 2012121202.

It is a happy number.

It is a super-2 number, since 2×202121210202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212121021) 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, 693706 + ... + 722254.

It is an arithmetic number, because the mean of its divisors is an integer number (545590500).

Almost surely, 220212121020 is an apocalyptic number.

20212121020 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 20212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26188344000).

20212121020 is an abundant number, since it is smaller than the sum of its proper divisors (32164566980).

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

20212121020 is a wasteful number, since it uses less digits than its factorization.

20212121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28967 (or 28965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20212121020 its reverse (2012121202), we get a palindrome (22224242222).

The spelling of 20212121020 in words is "twenty billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 389 455 778 910 1556 1820 1945 2723 3890 5057 5446 7780 10114 10892 13615 20228 25285 27230 28549 35399 50570 54460 57098 70798 101140 114196 141596 142745 176995 199843 285490 353990 371137 399686 570980 707980 742274 799372 999215 1484548 1855685 1998430 2597959 3711370 3996860 5195918 7422740 10391836 11105561 12989795 22211122 25979590 44422244 51959180 55527805 77738927 111055610 144372293 155477854 222111220 288744586 310955708 388694635 577489172 721861465 777389270 1010606051 1443722930 1554778540 2021212102 2887445860 4042424204 5053030255 10106060510 20212121020