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101314440 = 23325281429
BaseRepresentation
bin1100000100111…
…10111110001000
321001122022021200
412002132332020
5201414030230
614015304200
72340105243
oct602367610
9231568250
10101314440
115220a047
1229b1b060
1317cb3b96
14d65425a
158d64160
hex609ef88

101314440 has 48 divisors (see below), whose sum is σ = 329273100. Its totient is φ = 27017088.

The previous prime is 101314427. The next prime is 101314453. The reversal of 101314440 is 44413101.

It is an interprime number because it is at equal distance from previous prime (101314427) and next prime (101314453).

It can be written as a sum of positive squares in 2 ways, for example, as 93663684 + 7650756 = 9678^2 + 2766^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 140355 + ... + 141074.

Almost surely, 2101314440 is an apocalyptic number.

101314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314440 is an abundant number, since it is smaller than the sum of its proper divisors (227958660).

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

101314440 is a wasteful number, since it uses less digits than its factorization.

101314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281446 (or 281439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101314440 is about 10065.5074387733. The cubic root of 101314440 is about 466.1837339668.

Adding to 101314440 its reverse (44413101), we get a palindrome (145727541).

The spelling of 101314440 in words is "one hundred one million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 281429 562858 844287 1125716 1407145 1688574 2251432 2532861 2814290 3377148 4221435 5065722 5628580 6754296 8442870 10131444 11257160 12664305 16885740 20262888 25328610 33771480 50657220 101314440