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10120001220 = 2233578393191
BaseRepresentation
bin10010110110011001…
…01111011011000100
3222010021120022212000
421123030233123010
5131211210014340
64352110425300
7505532406510
oct113314573304
928107508760
1010120001220
11432352777a
121b65202230
13c53814b04
146c007d140
153e36b3d30
hex25b32f6c4

10120001220 has 192 divisors, whose sum is σ = 36036403200. Its totient is φ = 2309662080.

The previous prime is 10120001209. The next prime is 10120001233. The reversal of 10120001220 is 2210002101.

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

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, 3169825 + ... + 3173015.

It is an arithmetic number, because the mean of its divisors is an integer number (187689600).

Almost surely, 210120001220 is an apocalyptic number.

10120001220 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 10120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018201600).

10120001220 is an abundant number, since it is smaller than the sum of its proper divisors (25916401980).

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

10120001220 is a wasteful number, since it uses less digits than its factorization.

10120001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4047 counting only the distinct ones).

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

Adding to 10120001220 its reverse (2210002101), we get a palindrome (12330003321).

The spelling of 10120001220 in words is "ten billion, one hundred twenty million, one thousand, two hundred twenty".