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100201220010 = 23251113346889
BaseRepresentation
bin101110101010001110…
…1010100011110101010
3100120122012021101012200
41131110131110132222
53120203003020020
6114010511521030
710145036213523
oct1352435243652
9316565241180
10100201220010
1139549a81731
1217505229176
1395ab403138
144bc7a7d84a
152916c35590
hex17547547aa

100201220010 has 24 divisors (see below), whose sum is σ = 260523172260. Its totient is φ = 26720325312.

The previous prime is 100201220003. The next prime is 100201220057. The reversal of 100201220010 is 10022102001.

It can be written as a sum of positive squares in 2 ways, for example, as 97968374001 + 2232846009 = 312999^2 + 47253^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100201219974 and 100201220001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556673355 + ... + 556673534.

Almost surely, 2100201220010 is an apocalyptic number.

100201220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201220010 is an abundant number, since it is smaller than the sum of its proper divisors (160321952250).

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

100201220010 is a wasteful number, since it uses less digits than its factorization.

100201220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113346902 (or 1113346899 counting only the distinct ones).

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

Adding to 100201220010 its reverse (10022102001), we get a palindrome (110223322011).

The spelling of 100201220010 in words is "one hundred billion, two hundred one million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1113346889 2226693778 3340040667 5566734445 6680081334 10020122001 11133468890 16700203335 20040244002 33400406670 50100610005 100201220010