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10222122300 = 223521323831373
BaseRepresentation
bin10011000010100100…
…10011010100111100
3222101101201121122020
421201102103110330
5131413330403200
64410155320140
7511212414555
oct114122232474
928341647566
1010222122300
114376137865
121b93450050
13c6ba1bba0
146cd86332c
153ec636ea0
hex26149353c

10222122300 has 288 divisors, whose sum is σ = 33660845568. Its totient is φ = 2376084480.

The previous prime is 10222122257. The next prime is 10222122307. The reversal of 10222122300 is 322122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222122307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7444414 + ... + 7445786.

It is an arithmetic number, because the mean of its divisors is an integer number (116877936).

Almost surely, 210222122300 is an apocalyptic number.

10222122300 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 10222122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830422784).

10222122300 is an abundant number, since it is smaller than the sum of its proper divisors (23438723268).

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

10222122300 is a wasteful number, since it uses less digits than its factorization.

10222122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222122300 its reverse (322122201), we get a palindrome (10544244501).

Subtracting from 10222122300 its reverse (322122201), we obtain a palindrome (9900000099).

The spelling of 10222122300 in words is "ten billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred".