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10022220120 = 23351117835381
BaseRepresentation
bin10010101010101111…
…01111000101011000
3221212110120112101210
421111113233011120
5131011142020440
64334254543120
7503234315433
oct112527570530
927773515353
1010022220120
114283311350
121b38507aa0
13c3949a283
146b10a881a
153d9ceba80
hex2555ef158

10022220120 has 256 divisors, whose sum is σ = 35154362880. Its totient is φ = 2258739200.

The previous prime is 10022220071. The next prime is 10022220127. The reversal of 10022220120 is 2102222001.

It is a super-2 number, since 2×100222201202 (a number of 21 digits) contains 22 as substring.

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 = 10022220096 and 10022220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022220127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859830 + ... + 1865210.

It is an arithmetic number, because the mean of its divisors is an integer number (137321730).

Almost surely, 210022220120 is an apocalyptic number.

10022220120 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 10022220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577181440).

10022220120 is an abundant number, since it is smaller than the sum of its proper divisors (25132142760).

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

10022220120 is a wasteful number, since it uses less digits than its factorization.

10022220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022220120 its reverse (2102222001), we get a palindrome (12124442121).

The spelling of 10022220120 in words is "ten billion, twenty-two million, two hundred twenty thousand, one hundred twenty".