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10222120110 = 23531101108827
BaseRepresentation
bin10011000010100100…
…10010110010101110
3222101101201111122010
421201102102302232
5131413330320420
64410155302050
7511212405306
oct114122226256
928341644563
1010222120110
114376136154
121b9344a926
13c6ba1aba7
146cd862606
153ec6364e0
hex261492cae

10222120110 has 64 divisors (see below), whose sum is σ = 25575450624. Its totient is φ = 2611824000.

The previous prime is 10222120109. The next prime is 10222120127. The reversal of 10222120110 is 1102122201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39517 + ... + 148343.

It is an arithmetic number, because the mean of its divisors is an integer number (399616416).

Almost surely, 210222120110 is an apocalyptic number.

10222120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787725312).

10222120110 is an abundant number, since it is smaller than the sum of its proper divisors (15353330514).

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

10222120110 is a wasteful number, since it uses less digits than its factorization.

10222120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108969.

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

Adding to 10222120110 its reverse (1102122201), we get a palindrome (11324242311).

The spelling of 10222120110 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 303 310 465 505 606 930 1010 1515 3030 3131 6262 9393 15655 18786 31310 46965 93930 108827 217654 326481 544135 652962 1088270 1632405 3264810 3373637 6747274 10120911 10991527 16868185 20241822 21983054 32974581 33736370 50604555 54957635 65949162 101209110 109915270 164872905 329745810 340737337 681474674 1022212011 1703686685 2044424022 3407373370 5111060055 10222120110