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210220121221020 = 223252356349564553
BaseRepresentation
bin101111110011000110101111…
…101001100110011110011100
31000120022211212200202221010100
4233303012233221212132130
5210023221302013033040
62023033442424141100
762164621401331101
oct5763065751463634
91016284780687110
10210220121221020
1160a89942002749
121b6b2099307790
13903b898274ac1
1439ca9cb272aa8
151948493b69b30
hexbf31afa6679c

210220121221020 has 72 divisors (see below), whose sum is σ = 637694776148976. Its totient is φ = 56056318762752.

The previous prime is 210220121220997. The next prime is 210220121221069. The reversal of 210220121221020 is 20122121022012.

It is a happy number.

210220121221020 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 1 + 212 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210220121220984 and 210220121221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20540937 + ... + 29023616.

It is an arithmetic number, because the mean of its divisors is an integer number (8856871890958).

Almost surely, 2210220121221020 is an apocalyptic number.

210220121221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210220121221020 is an abundant number, since it is smaller than the sum of its proper divisors (427474654927956).

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

210220121221020 is a wasteful number, since it uses less digits than its factorization.

210220121221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49588131 (or 49588126 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210220121221020 its reverse (20122121022012), we get a palindrome (230342242243032).

The spelling of 210220121221020 in words is "two hundred ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 23563 47126 70689 94252 117815 141378 212067 235630 282756 353445 424134 471260 706890 848268 1060335 1413780 2120670 4241340 49564553 99129106 148693659 198258212 247822765 297387318 446080977 495645530 594774636 743468295 892161954 991291060 1486936590 1784323908 2230404885 2973873180 4460809770 8921619540 1167889562339 2335779124678 3503668687017 4671558249356 5839447811695 7007337374034 10511006061051 11678895623390 14014674748068 17518343435085 21022012122102 23357791246780 35036686870170 42044024244204 52555030305255 70073373740340 105110060610510 210220121221020