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101331412 = 22721339769
BaseRepresentation
bin1100000101000…
…11000111010100
321001200011120021
412002203013110
5201420101122
614015514524
72340205600
oct602430724
9231604507
10101331412
1152220876
1229b28a44
1317cbb820
14d65a500
158d691c7
hex60a31d4

101331412 has 36 divisors (see below), whose sum is σ = 222155220. Its totient is φ = 40086144.

The previous prime is 101331409. The next prime is 101331437. The reversal of 101331412 is 214133101.

It can be written as a sum of positive squares in 2 ways, for example, as 14394436 + 86936976 = 3794^2 + 9324^2 .

It is a congruent number.

It is an unprimeable number.

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, 17337 + ... + 22432.

Almost surely, 2101331412 is an apocalyptic number.

It is an amenable number.

101331412 is an abundant number, since it is smaller than the sum of its proper divisors (120823808).

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

101331412 is a wasteful number, since it uses less digits than its factorization.

101331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39800 (or 39791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101331412 is about 10066.3504806856. The cubic root of 101331412 is about 466.2097639140.

Adding to 101331412 its reverse (214133101), we get a palindrome (315464513).

The spelling of 101331412 in words is "one hundred one million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 39769 79538 159076 278383 516997 556766 1033994 1113532 1948681 2067988 3618979 3897362 7237958 7794724 14475916 25332853 50665706 101331412