Search a number
-
+
100777343040 = 26325115953917
BaseRepresentation
bin101110111011011001…
…1000011100001000000
3100122010100100110102200
41131312303003201000
53122342444434130
6114144012113200
710165233165513
oct1356663034100
9318110313380
10100777343040
1139815201470
1217646165800
13967088ba3a
144c403acd7a
15294c5d8760
hex1776cc3840

100777343040 has 336 divisors, whose sum is σ = 384560429760. Its totient is φ = 24016343040.

The previous prime is 100777343039. The next prime is 100777343087. The reversal of 100777343040 is 40343777001.

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 = 100777342986 and 100777343004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842162 + ... + 1896078.

Almost surely, 2100777343040 is an apocalyptic number.

100777343040 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 100777343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192280214880).

100777343040 is an abundant number, since it is smaller than the sum of its proper divisors (283783086720).

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

100777343040 is a wasteful number, since it uses less digits than its factorization.

100777343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54010 (or 53997 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 100777343040 in words is "one hundred billion, seven hundred seventy-seven million, three hundred forty-three thousand, forty".