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101412012 = 223136110657
BaseRepresentation
bin1100000101101…
…10110010101100
321001211021010110
412002312302230
5201430141022
614021340020
72340662562
oct602666254
9231737113
10101412012
1152276389
1229b67610
1318019410
14d67ba32
158d8300c
hex60b6cac

101412012 has 48 divisors (see below), whose sum is σ = 259032032. Its totient is φ = 30689280.

The previous prime is 101411957. The next prime is 101412013. The reversal of 101412012 is 210214101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101412013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4188 + ... + 14844.

Almost surely, 2101412012 is an apocalyptic number.

101412012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129516016).

101412012 is an abundant number, since it is smaller than the sum of its proper divisors (157620020).

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

101412012 is a wasteful number, since it uses less digits than its factorization.

101412012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101412012 is about 10070.3531219119. The cubic root of 101412012 is about 466.3333404296. Note that the first 4 decimals are identical.

Adding to 101412012 its reverse (210214101), we get a palindrome (311626113).

The spelling of 101412012 in words is "one hundred one million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 9516 10657 21314 31971 42628 63942 127884 138541 277082 415623 554164 650077 831246 1300154 1662492 1950231 2600308 3900462 7800924 8451001 16902002 25353003 33804004 50706006 101412012