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101331612 = 223219114737
BaseRepresentation
bin1100000101000…
…11001010011100
321001200011211200
412002203022130
5201420102422
614015515500
72340206304
oct602431234
9231604750
10101331612
1152220a38
1229b28b90
1317cbb945
14d65a604
158d692ac
hex60a329c

101331612 has 36 divisors (see below), whose sum is σ = 257502336. Its totient is φ = 33598080.

The previous prime is 101331599. The next prime is 101331619. The reversal of 101331612 is 216133101.

101331612 is a `hidden beast` number, since 10 + 13 + 31 + 612 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331619) 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 11 ways as a sum of consecutive naturals, for example, 493 + ... + 14244.

Almost surely, 2101331612 is an apocalyptic number.

101331612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331612 is an abundant number, since it is smaller than the sum of its proper divisors (156170724).

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

101331612 is a wasteful number, since it uses less digits than its factorization.

101331612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101331612 is about 10066.3604147676. The cubic root of 101331612 is about 466.2100706365.

Adding to 101331612 its reverse (216133101), we get a palindrome (317464713).

The spelling of 101331612 in words is "one hundred one million, three hundred thirty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 14737 29474 44211 58948 88422 132633 176844 265266 530532 2814767 5629534 8444301 11259068 16888602 25332903 33777204 50665806 101331612