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10221111220 = 22523179124133
BaseRepresentation
bin10011000010011100…
…11100011110110100
3222101022211020200211
421201032130132310
5131413101024340
64410121515204
7511201004035
oct114116343664
928338736624
1010221111220
114375607161
121b93042b04
13c6b756908
146cd67ca8c
153ec4d75ea
hex26139c7b4

10221111220 has 48 divisors (see below), whose sum is σ = 22522872960. Its totient is φ = 3888807296.

The previous prime is 10221111203. The next prime is 10221111227. The reversal of 10221111220 is 2211112201.

10221111220 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 2×102211112202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221111227) 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, 20274 + ... + 144406.

It is an arithmetic number, because the mean of its divisors is an integer number (469226520).

Almost surely, 210221111220 is an apocalyptic number.

10221111220 is a gapful number since it is divisible by the number (10) 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 10221111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261436480).

10221111220 is an abundant number, since it is smaller than the sum of its proper divisors (12301761740).

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

10221111220 is a wasteful number, since it uses less digits than its factorization.

10221111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124344 (or 124342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221111220 its reverse (2211112201), we get a palindrome (12432223421).

The spelling of 10221111220 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 179 230 358 460 716 895 1790 3580 4117 8234 16468 20585 41170 82340 124133 248266 496532 620665 1241330 2482660 2855059 5710118 11420236 14275295 22219807 28550590 44439614 57101180 88879228 111099035 222198070 444396140 511055561 1022111122 2044222244 2555277805 5110555610 10221111220