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10001212200 = 23325271746691
BaseRepresentation
bin10010101000001111…
…00110001100101000
3221211000001012221200
421110013212030220
5130440302242300
64332224404200
7502560621030
oct112407461450
927730035850
1010001212200
114272472831
121b31476660
13c35023155
146ac39a8c0
153d804c200
hex2541e6328

10001212200 has 288 divisors, whose sum is σ = 40644452160. Its totient is φ = 2151475200.

The previous prime is 10001212187. The next prime is 10001212231. The reversal of 10001212200 is 221210001.

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 71 ways as a sum of consecutive naturals, for example, 190855 + ... + 237545.

It is an arithmetic number, because the mean of its divisors is an integer number (141126570).

Almost surely, 210001212200 is an apocalyptic number.

10001212200 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 10001212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20322226080).

10001212200 is an abundant number, since it is smaller than the sum of its proper divisors (30643239960).

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

10001212200 is a wasteful number, since it uses less digits than its factorization.

10001212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46737 (or 46725 counting only the distinct ones).

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

Adding to 10001212200 its reverse (221210001), we get a palindrome (10222422201).

The spelling of 10001212200 in words is "ten billion, one million, two hundred twelve thousand, two hundred".