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101312046 = 236116317
BaseRepresentation
bin1100000100111…
…10011000101110
321001122012000000
412002132120232
5201413441141
614015245130
72340065253
oct602363056
9231565000
10101312046
1152208270
1229b197a6
1317cb2a74
14d65342a
158d635b6
hex609e62e

101312046 has 56 divisors (see below), whose sum is σ = 248600664. Its totient is φ = 30695760.

The previous prime is 101312039. The next prime is 101312063. The reversal of 101312046 is 640213101.

It is a happy number.

It is a super-2 number, since 2×1013120462 = 20528261329412232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 12880 + ... + 19196.

Almost surely, 2101312046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124300332).

101312046 is an abundant number, since it is smaller than the sum of its proper divisors (147288618).

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

101312046 is an equidigital number, since it uses as much as digits as its factorization.

101312046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101312046 is about 10065.3885170916. The cubic root of 101312046 is about 466.1800620563.

Adding to 101312046 its reverse (640213101), we get a palindrome (741525147).

The spelling of 101312046 in words is "one hundred one million, three hundred twelve thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 6317 8019 12634 16038 18951 37902 56853 69487 113706 138974 170559 208461 341118 416922 511677 625383 1023354 1250766 1535031 1876149 3070062 3752298 4605093 5628447 9210186 11256894 16885341 33770682 50656023 101312046