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10021221000 = 2332537732179
BaseRepresentation
bin10010101010100111…
…11011001010001000
3221212101200202212100
421111103323022020
5131010413033000
64334221313400
7503222654520
oct112523731210
927771622770
1010021221000
11428279972a
121b38105860
13c3920a58b
146b0cc8680
153d9ba0a00
hex2554fb288

10021221000 has 384 divisors, whose sum is σ = 39258835200. Its totient is φ = 2258150400.

The previous prime is 10021220999. The next prime is 10021221017. The reversal of 10021221000 is 12212001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4597911 + ... + 4600089.

It is an arithmetic number, because the mean of its divisors is an integer number (102236550).

Almost surely, 210021221000 is an apocalyptic number.

10021221000 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 10021221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629417600).

10021221000 is an abundant number, since it is smaller than the sum of its proper divisors (29237614200).

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

10021221000 is a wasteful number, since it uses less digits than its factorization.

10021221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2269 counting only the distinct ones).

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

Adding to 10021221000 its reverse (12212001), we get a palindrome (10033433001).

The spelling of 10021221000 in words is "ten billion, twenty-one million, two hundred twenty-one thousand".