Search a number
-
+
106336461240 = 233252516831723
BaseRepresentation
bin110001100001000100…
…1011010000110111000
3101011110202210220222100
41203002021122012320
53220234113224430
6120503355223400
710453055002302
oct1430211320670
9334422726870
10106336461240
1141108184229
1218737a47b60
13a0485011a9
14520a814972
152b75684960
hex18c225a1b8

106336461240 has 192 divisors, whose sum is σ = 347680045440. Its totient is φ = 28185696000.

The previous prime is 106336461229. The next prime is 106336461271. The reversal of 106336461240 is 42164633601.

106336461240 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 646 + 1 + 2 + 4 + 0 = 666.

106336461240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1063364612402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106336461195 and 106336461204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61715019 + ... + 61716741.

It is an arithmetic number, because the mean of its divisors is an integer number (1810833570).

Almost surely, 2106336461240 is an apocalyptic number.

106336461240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106336461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173840022720).

106336461240 is an abundant number, since it is smaller than the sum of its proper divisors (241343584200).

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

106336461240 is a wasteful number, since it uses less digits than its factorization.

106336461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 106336461240 in words is "one hundred six billion, three hundred thirty-six million, four hundred sixty-one thousand, two hundred forty".