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10122213000 = 233533123511
BaseRepresentation
bin10010110110101010…
…01011011010001000
3222010102201200211210
421123111023122020
5131212241304000
64352230053120
7505560251034
oct113325133210
928112650753
1010122213000
1143247a8499
121b65aaa1a0
13c5410a763
146c04971c4
153e399e350
hex25b54b688

10122213000 has 192 divisors, whose sum is σ = 32642213760. Its totient is φ = 2611440000.

The previous prime is 10122212999. The next prime is 10122213001. The reversal of 10122213000 is 31222101.

It is an interprime number because it is at equal distance from previous prime (10122212999) and next prime (10122213001).

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 (10122213001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2881245 + ... + 2884755.

It is an arithmetic number, because the mean of its divisors is an integer number (170011530).

Almost surely, 210122213000 is an apocalyptic number.

10122213000 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 10122213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321106880).

10122213000 is an abundant number, since it is smaller than the sum of its proper divisors (22520000760).

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

10122213000 is a wasteful number, since it uses less digits than its factorization.

10122213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3552 counting only the distinct ones).

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

Adding to 10122213000 its reverse (31222101), we get a palindrome (10153435101).

The spelling of 10122213000 in words is "ten billion, one hundred twenty-two million, two hundred thirteen thousand".