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10221201012 = 223111923374789
BaseRepresentation
bin10011000010011101…
…10010011001110100
3222101022222210212110
421201032302121310
5131413111413022
64410123451020
7511201526601
oct114116623164
928338883773
1010221201012
114375668670
121b93086a70
13c6b788749
146cd6a36a8
153ec50400c
hex2613b2674

10221201012 has 192 divisors, whose sum is σ = 29356185600. Its totient is φ = 2730309120.

The previous prime is 10221200999. The next prime is 10221201019. The reversal of 10221201012 is 21010212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221201019) 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, 2131914 + ... + 2136702.

It is an arithmetic number, because the mean of its divisors is an integer number (152896800).

Almost surely, 210221201012 is an apocalyptic number.

10221201012 is a gapful number since it is divisible by the number (12) 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 10221201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678092800).

10221201012 is an abundant number, since it is smaller than the sum of its proper divisors (19134984588).

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

10221201012 is a wasteful number, since it uses less digits than its factorization.

10221201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4884 counting only the distinct ones).

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

Adding to 10221201012 its reverse (21010212201), we get a palindrome (31231413213).

The spelling of 10221201012 in words is "ten billion, two hundred twenty-one million, two hundred one thousand, twelve".