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10221111020 = 2252572637561
BaseRepresentation
bin10011000010011100…
…11100011011101100
3222101022211020102102
421201032130123230
5131413101023040
64410121514232
7511201003331
oct114116343354
928338736372
1010221111020
114375606a9a
121b93042978
13c6b7567b3
146cd67c988
153ec4d7515
hex26139c6ec

10221111020 has 48 divisors (see below), whose sum is σ = 21632643648. Its totient is φ = 4056514560.

The previous prime is 10221110969. The next prime is 10221111023. The reversal of 10221111020 is 2011112201.

10221111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102211110202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221110992 and 10221111010.

It is not an unprimeable number, because it can be changed into a prime (10221111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348040 + ... + 1355600.

It is an arithmetic number, because the mean of its divisors is an integer number (450680076).

Almost surely, 210221111020 is an apocalyptic number.

10221111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221111020 is an abundant number, since it is smaller than the sum of its proper divisors (11411532628).

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

10221111020 is a wasteful number, since it uses less digits than its factorization.

10221111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221111020 its reverse (2011112201), we get a palindrome (12232223221).

The spelling of 10221111020 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 257 263 514 526 1028 1052 1285 1315 2570 2630 5140 5260 7561 15122 30244 37805 67591 75610 135182 151220 270364 337955 675910 1351820 1943177 1988543 3886354 3977086 7772708 7954172 9715885 9942715 19431770 19885430 38863540 39770860 511055551 1022111102 2044222204 2555277755 5110555510 10221111020