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10132221000 = 23353111718061
BaseRepresentation
bin10010110111110110…
…10110110001001000
3222011010120011020110
421123323112301020
5131222322033000
64353224354320
7506041312626
oct113373266110
928133504213
1010132221000
11432a413670
121b693159a0
13c56202b55
146c1940516
153e47c9850
hex25bed6c48

10132221000 has 256 divisors, whose sum is σ = 36517029120. Its totient is φ = 2311680000.

The previous prime is 10132220957. The next prime is 10132221013. The reversal of 10132221000 is 12223101.

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

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, 551970 + ... + 570030.

It is an arithmetic number, because the mean of its divisors is an integer number (142644645).

Almost surely, 210132221000 is an apocalyptic number.

10132221000 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 10132221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258514560).

10132221000 is an abundant number, since it is smaller than the sum of its proper divisors (26384808120).

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

10132221000 is a wasteful number, since it uses less digits than its factorization.

10132221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18113 (or 18099 counting only the distinct ones).

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

Adding to 10132221000 its reverse (12223101), we get a palindrome (10144444101).

It can be divided in two parts, 10132 and 221000, that added together give a palindrome (231132).

The spelling of 10132221000 in words is "ten billion, one hundred thirty-two million, two hundred twenty-one thousand".