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101310012 = 22322814167
BaseRepresentation
bin1100000100111…
…01111000111100
321001122002012200
412002131320330
5201413410022
614015231500
72340056316
oct602357074
9231562180
10101310012
1152206791
1229b18590
1317cb1b6b
14d6527b6
158d62bac
hex609de3c

101310012 has 18 divisors (see below), whose sum is σ = 256089288. Its totient is φ = 33769992.

The previous prime is 101310007. The next prime is 101310019. The reversal of 101310012 is 210013101.

It is a tau number, because it is divible by the number of its divisors (18).

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 = 101309976 and 101310003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1407048 + ... + 1407119.

Almost surely, 2101310012 is an apocalyptic number.

101310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101310012 is an abundant number, since it is smaller than the sum of its proper divisors (154779276).

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

101310012 is a wasteful number, since it uses less digits than its factorization.

101310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814177 (or 2814172 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101310012 is about 10065.2874772656. The cubic root of 101310012 is about 466.1769422674.

Adding to 101310012 its reverse (210013101), we get a palindrome (311323113).

It can be divided in two parts, 1013 and 10012, that added together give a square (11025 = 1052).

The spelling of 101310012 in words is "one hundred one million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2814167 5628334 8442501 11256668 16885002 25327503 33770004 50655006 101310012