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10221211020 = 2235929183373
BaseRepresentation
bin10011000010011101…
…10100110110001100
3222101100000022121010
421201032310312030
5131413112223040
64410124005220
7511201601016
oct114116646614
928340008533
1010221211020
114375675139
121b93090810
13c6b790177
146cd6a71b6
153ec506e80
hex2613b4d8c

10221211020 has 48 divisors (see below), whose sum is σ = 28650353760. Its totient is φ = 2722707456.

The previous prime is 10221210977. The next prime is 10221211027. The reversal of 10221211020 is 2011212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221210987 and 10221211005.

It is not an unprimeable number, because it can be changed into a prime (10221211027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35947 + ... + 147426.

It is an arithmetic number, because the mean of its divisors is an integer number (596882370).

Almost surely, 210221211020 is an apocalyptic number.

10221211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221211020 is an abundant number, since it is smaller than the sum of its proper divisors (18429142740).

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

10221211020 is a wasteful number, since it uses less digits than its factorization.

10221211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184314 (or 184312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221211020 its reverse (2011212201), we get a palindrome (12232423221).

The spelling of 10221211020 in words is "ten billion, two hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 929 1858 2787 3716 4645 5574 9290 11148 13935 18580 27870 55740 183373 366746 550119 733492 916865 1100238 1833730 2200476 2750595 3667460 5501190 11002380 170353517 340707034 511060551 681414068 851767585 1022121102 1703535170 2044242204 2555302755 3407070340 5110605510 10221211020