Search a number
-
+
101360016 = 24324091721
BaseRepresentation
bin1100000101010…
…10000110010000
321001201121210200
412002222012100
5201422010031
614020255200
72340355152
oct602520620
9231647720
10101360016
115224030a
1229b41500
1317ccb854
14d666ad2
158d728e6
hex60aa190

101360016 has 60 divisors (see below), whose sum is σ = 284526060. Its totient is φ = 33684480.

The previous prime is 101359997. The next prime is 101360023. The reversal of 101360016 is 610063101.

It can be written as a sum of positive squares in 2 ways, for example, as 84713616 + 16646400 = 9204^2 + 4080^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58036 + ... + 59756.

It is an arithmetic number, because the mean of its divisors is an integer number (4742101).

Almost surely, 2101360016 is an apocalyptic number.

101360016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101360016 is an abundant number, since it is smaller than the sum of its proper divisors (183166044).

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

101360016 is a wasteful number, since it uses less digits than its factorization.

101360016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2135 counting only the distinct ones).

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

The square root of 101360016 is about 10067.7711535374. The cubic root of 101360016 is about 466.2536272769.

The spelling of 101360016 in words is "one hundred one million, three hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 818 1227 1636 1721 2454 3272 3442 3681 4908 5163 6544 6884 7362 9816 10326 13768 14724 15489 19632 20652 27536 29448 30978 41304 58896 61956 82608 123912 247824 703889 1407778 2111667 2815556 4223334 5631112 6335001 8446668 11262224 12670002 16893336 25340004 33786672 50680008 101360016