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10012222000 = 2453112347421
BaseRepresentation
bin10010101001100011…
…00110001000110000
3221211202202120120001
421110301212020300
5131001112101000
64333300355344
7503053324414
oct112461461060
927752676501
1010012222000
114278702640
121b350a5b54
13c373a9521
146ada24d44
153d8ec446a
hex254c66230

10012222000 has 320 divisors, whose sum is σ = 28211908608. Its totient is φ = 3400320000.

The previous prime is 10012221991. The next prime is 10012222009. The reversal of 10012222000 is 22221001.

It is an interprime number because it is at equal distance from previous prime (10012221991) and next prime (10012222009).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10012222009) 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 63 ways as a sum of consecutive naturals, for example, 23781790 + ... + 23782210.

Almost surely, 210012222000 is an apocalyptic number.

10012222000 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 10012222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105954304).

10012222000 is an abundant number, since it is smaller than the sum of its proper divisors (18199686608).

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

10012222000 is a wasteful number, since it uses less digits than its factorization.

10012222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10012222000 its reverse (22221001), we get a palindrome (10034443001).

Subtracting from 10012222000 its reverse (22221001), we obtain a palindrome (9990000999).

The spelling of 10012222000 in words is "ten billion, twelve million, two hundred twenty-two thousand".