Search a number
-
+
100747340737 = 1737197813049
BaseRepresentation
bin101110111010100000…
…0100110101111000001
3100122001020220012000021
41131311000212233001
53122312304400422
6114141021053441
710164420160321
oct1356500465701
9318036805007
10100747340737
11397aa27a27a
12176380b7281
1396675b59b4
144c3a3dd281
152949b5ddc7
hex1775026bc1

100747340737 has 16 divisors (see below), whose sum is σ = 110112987600. Its totient is φ = 91789867008.

The previous prime is 100747340717. The next prime is 100747340747. The reversal of 100747340737 is 737043747001.

It can be written as a sum of positive squares in 8 ways, for example, as 44460252736 + 56287088001 = 210856^2 + 237249^2 .

It is a cyclic number.

It is not a de Polignac number, because 100747340737 - 231 = 98599857089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100747340693 and 100747340702.

It is not an unprimeable number, because it can be changed into a prime (100747340717) 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, 282612 + ... + 530437.

It is an arithmetic number, because the mean of its divisors is an integer number (6882061725).

Almost surely, 2100747340737 is an apocalyptic number.

100747340737 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100747340737 is a deficient number, since it is larger than the sum of its proper divisors (9365646863).

100747340737 is a wasteful number, since it uses less digits than its factorization.

100747340737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813300.

The product of its (nonzero) digits is 345744, while the sum is 43.

The spelling of 100747340737 in words is "one hundred billion, seven hundred forty-seven million, three hundred forty thousand, seven hundred thirty-seven".

Divisors: 1 17 37 197 629 3349 7289 123913 813049 13821833 30082813 160170653 511407821 2722901101 5926314161 100747340737