Search a number
-
+
100107050094 = 2332729679309
BaseRepresentation
bin101110100111011011…
…0000101110001101110
3100120101122002001101000
41131032312011301232
53120004401100334
6113553305301130
710142513612622
oct1351666056156
9316348061330
10100107050094
1139500902457
12174997947a6
139594a511ac
144bb9369182
15290d833299
hex174ed85c6e

100107050094 has 32 divisors (see below), whose sum is σ = 222541956000. Its totient is φ = 33356740032.

The previous prime is 100107050093. The next prime is 100107050101. The reversal of 100107050094 is 490050701001.

100107050094 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 70 + 500 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100107050093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192289 + ... + 487020.

It is an arithmetic number, because the mean of its divisors is an integer number (6954436125).

Almost surely, 2100107050094 is an apocalyptic number.

100107050094 is an abundant number, since it is smaller than the sum of its proper divisors (122434905906).

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

100107050094 is a wasteful number, since it uses less digits than its factorization.

100107050094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682049 (or 682043 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 100107050094 its reverse (490050701001), we get a palindrome (590157751095).

The spelling of 100107050094 in words is "one hundred billion, one hundred seven million, fifty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 2729 5458 8187 16374 24561 49122 73683 147366 679309 1358618 2037927 4075854 6113781 12227562 18341343 36682686 1853834261 3707668522 5561502783 11123005566 16684508349 33369016698 50053525047 100107050094