Search a number
-
+
107637443205101 = 4393711833225767
BaseRepresentation
bin11000011110010101001011…
…100100010001011111101101
3112010010001001111010110102022
4120132111023210101133231
5103102012440430030401
61020531543032235525
731446356120224655
oct3036251344213755
9463101044113368
10107637443205101
1131329868650217
12100a4a35b3bba5
13480a223857a24
141c819740a3365
15c69d6c12971b
hex61e54b9117ed

107637443205101 has 16 divisors (see below), whose sum is σ = 110267991867264. Its totient is φ = 105012703321344.

The previous prime is 107637443205059. The next prime is 107637443205113. The reversal of 107637443205101 is 101502344736701.

It is a cyclic number.

It is not a de Polignac number, because 107637443205101 - 210 = 107637443204077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107637443205601) 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, 476650520 + ... + 476876286.

It is an arithmetic number, because the mean of its divisors is an integer number (6891749491704).

Almost surely, 2107637443205101 is an apocalyptic number.

It is an amenable number.

107637443205101 is a deficient number, since it is larger than the sum of its proper divisors (2630548662163).

107637443205101 is a wasteful number, since it uses less digits than its factorization.

107637443205101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238580.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 107637443205101 in words is "one hundred seven trillion, six hundred thirty-seven billion, four hundred forty-three million, two hundred five thousand, one hundred one".

Divisors: 1 43 937 11833 40291 225767 508819 9707981 11087521 211543679 476763403 2671500911 9096378197 114874539173 2503196353607 107637443205101