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10201412120 = 235255035303
BaseRepresentation
bin10011000000000110…
…10011001000011000
3222022221202102121112
421200003103020120
5131343030141440
64404135355452
7510541400204
oct114003231030
928287672545
1010201412120
114365481a09
121b88522b88
13c6764a443
146cabd1b04
153ea8e5965
hex2600d3218

10201412120 has 16 divisors (see below), whose sum is σ = 22953177360. Its totient is φ = 4080564832.

The previous prime is 10201412107. The next prime is 10201412129. The reversal of 10201412120 is 2121410201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10201412095 and 10201412104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201412129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127517612 + ... + 127517691.

It is an arithmetic number, because the mean of its divisors is an integer number (1434573585).

Almost surely, 210201412120 is an apocalyptic number.

10201412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201412120 is an abundant number, since it is smaller than the sum of its proper divisors (12751765240).

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

10201412120 is a wasteful number, since it uses less digits than its factorization.

10201412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255035314 (or 255035310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201412120 its reverse (2121410201), we get a palindrome (12322822321).

The spelling of 10201412120 in words is "ten billion, two hundred one million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 255035303 510070606 1020141212 1275176515 2040282424 2550353030 5100706060 10201412120