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10201110012 = 2232377658491
BaseRepresentation
bin10011000000000100…
…01001010111111100
3222022221012002012100
421200002021113330
5131342441010022
64404125105100
7510536001342
oct114002112774
928287162170
1010201110012
114365295a35
121b883b8190
13c67572a92
146cab53992
153ea8861ac
hex2600895fc

10201110012 has 36 divisors (see below), whose sum is σ = 26483065336. Its totient is φ = 3308467680.

The previous prime is 10201109999. The next prime is 10201110019. The reversal of 10201110012 is 21001110201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10201109976 and 10201110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201110019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3827914 + ... + 3830577.

Almost surely, 210201110012 is an apocalyptic number.

10201110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201110012 is an abundant number, since it is smaller than the sum of its proper divisors (16281955324).

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

10201110012 is a wasteful number, since it uses less digits than its factorization.

10201110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658538 (or 7658533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10201110012 its reverse (21001110201), we get a palindrome (31202220213).

The spelling of 10201110012 in words is "ten billion, two hundred one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7658491 15316982 22975473 30633964 45950946 68926419 91901892 137852838 275705676 283364167 566728334 850092501 1133456668 1700185002 2550277503 3400370004 5100555006 10201110012