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101141412 = 22345718443
BaseRepresentation
bin1100000011101…
…00101110100100
321001022111221020
412001310232210
5201343011122
614011451140
72335454631
oct601645644
9231274836
10101141412
1152101049
1229a56ab0
1317c531b8
14d60b188
158d2cc5c
hex6074ba4

101141412 has 24 divisors (see below), whose sum is σ = 236525856. Its totient is φ = 33638208.

The previous prime is 101141407. The next prime is 101141471. The reversal of 101141412 is 214141101.

It is a junction number, because it is equal to n+sod(n) for n = 101141391 and 101141400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3738 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (9855244).

Almost surely, 2101141412 is an apocalyptic number.

101141412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101141412 is an abundant number, since it is smaller than the sum of its proper divisors (135384444).

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

101141412 is a wasteful number, since it uses less digits than its factorization.

101141412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 101141412 is about 10056.9086701630. The cubic root of 101141412 is about 465.9181949766.

Adding to 101141412 its reverse (214141101), we get a palindrome (315282513).

The spelling of 101141412 in words is "one hundred one million, one hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 457 914 1371 1828 2742 5484 18443 36886 55329 73772 110658 221316 8428451 16856902 25285353 33713804 50570706 101141412