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10220001120 = 253357418243
BaseRepresentation
bin10011000010010100…
…01101011101100000
3222101020201211221000
421201022031131200
5131412310013440
64410042032000
7511155401430
oct114112153540
928336654830
1010220001120
114374a1911a
121b927a8600
13c6b458554
146cd4702c0
153ec368730
hex26128d760

10220001120 has 384 divisors, whose sum is σ = 41882158080. Its totient is φ = 2278748160.

The previous prime is 10220001119. The next prime is 10220001133. The reversal of 10220001120 is 2110002201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235719 + ... + 1243961.

It is an arithmetic number, because the mean of its divisors is an integer number (109068120).

Almost surely, 210220001120 is an apocalyptic number.

10220001120 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 10220001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941079040).

10220001120 is an abundant number, since it is smaller than the sum of its proper divisors (31662156960).

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

10220001120 is a wasteful number, since it uses less digits than its factorization.

10220001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220001120 its reverse (2110002201), we get a palindrome (12330003321).

The spelling of 10220001120 in words is "ten billion, two hundred twenty million, one thousand, one hundred twenty".