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10011220032 = 2631117535261
BaseRepresentation
bin10010101001011011…
…10001100001000000
3221211200212200010010
421110231301201000
5131000333020112
64333223104520
7503041652262
oct112455614100
927750780103
1010011220032
114278088870
121b348a2140
13c37118448
146ad843b32
153d8d7763c
hex254b71840

10011220032 has 224 divisors, whose sum is σ = 31178991744. Its totient is φ = 2800844800.

The previous prime is 10011220013. The next prime is 10011220039. The reversal of 10011220032 is 23002211001.

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

It is not an unprimeable number, because it can be changed into a prime (10011220039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900282 + ... + 1905542.

Almost surely, 210011220032 is an apocalyptic number.

10011220032 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 10011220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589495872).

10011220032 is an abundant number, since it is smaller than the sum of its proper divisors (21167771712).

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

10011220032 is a wasteful number, since it uses less digits than its factorization.

10011220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10011220032 its reverse (23002211001), we get a palindrome (33013431033).

The spelling of 10011220032 in words is "ten billion, eleven million, two hundred twenty thousand, thirty-two".