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10221012020 = 2253229158269
BaseRepresentation
bin10011000010011100…
…00100010000110100
3222101022122012121202
421201032010100310
5131413034341040
64410115432032
7511200111602
oct114116042064
928338565552
1010221012020
11437554967a
121b92bb5618
13c6b72070b
146cd654872
153ec4b8015
hex261384434

10221012020 has 24 divisors (see below), whose sum is σ = 21470908200. Its totient is φ = 4087112832.

The previous prime is 10221012013. The next prime is 10221012031. The reversal of 10221012020 is 2021012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 343435024 + 9877576996 = 18532^2 + 99386^2 .

It is a super-3 number, since 3×102210120203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221011992 and 10221012010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14555 + ... + 143714.

It is an arithmetic number, because the mean of its divisors is an integer number (894621175).

Almost surely, 210221012020 is an apocalyptic number.

10221012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221012020 is an abundant number, since it is smaller than the sum of its proper divisors (11249896180).

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

10221012020 is a wasteful number, since it uses less digits than its factorization.

10221012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161507 (or 161505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10221012020 its reverse (2021012201), we get a palindrome (12242024221).

The spelling of 10221012020 in words is "ten billion, two hundred twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 3229 6458 12916 16145 32290 64580 158269 316538 633076 791345 1582690 3165380 511050601 1022101202 2044202404 2555253005 5110506010 10221012020