Search a number
-
+
100734004407 = 31777314831723
BaseRepresentation
bin101110111010000110…
…1101110110010110111
3100122000022210122000010
41131310031232302313
53122300401120112
6114135423151303
710164165624021
oct1356415566267
9318008718003
10100734004407
11397a27a0513
1217633745533
1396648c668a
144c3872b011
1529488c763c
hex177436ecb7

100734004407 has 32 divisors (see below), whose sum is σ = 142575406848. Its totient is φ = 63044706816.

The previous prime is 100734004387. The next prime is 100734004409. The reversal of 100734004407 is 704400437001.

It is a de Polignac number, because none of the positive numbers 2k-100734004407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100734004409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58463448 + ... + 58465170.

It is an arithmetic number, because the mean of its divisors is an integer number (4455481464).

Almost surely, 2100734004407 is an apocalyptic number.

100734004407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100734004407 is a deficient number, since it is larger than the sum of its proper divisors (41841402441).

100734004407 is a wasteful number, since it uses less digits than its factorization.

100734004407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999.

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 100734004407 in words is "one hundred billion, seven hundred thirty-four million, four thousand, four hundred seven".

Divisors: 1 3 17 51 773 1483 1723 2319 4449 5169 13141 25211 29291 39423 75633 87873 1146359 1331879 2555209 3439077 3995637 7665627 19488103 22641943 43438553 58464309 67925829 130315659 1975176557 5925529671 33578001469 100734004407