Search a number
-
+
100302313111 = 71113127788993
BaseRepresentation
bin101110101101001111…
…0111101011010010111
3100120220020111102212121
41131122132331122113
53120404343004421
6114024522400411
710150404410560
oct1353236753227
9316806442777
10100302313111
11395a104a450
1217533060107
1395c633a340
144bd7277167
152920a53d41
hex175a7bd697

100302313111 has 32 divisors (see below), whose sum is σ = 135732215808. Its totient is φ = 71577354240.

The previous prime is 100302313087. The next prime is 100302313127. The reversal of 100302313111 is 111313203001.

It is not a de Polignac number, because 100302313111 - 27 = 100302312983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302313171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267370 + ... + 521623.

It is an arithmetic number, because the mean of its divisors is an integer number (4241631744).

Almost surely, 2100302313111 is an apocalyptic number.

100302313111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100302313111 is a deficient number, since it is larger than the sum of its proper divisors (35429902697).

100302313111 is a wasteful number, since it uses less digits than its factorization.

100302313111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789151.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100302313111 its reverse (111313203001), we get a palindrome (211615516112).

The spelling of 100302313111 in words is "one hundred billion, three hundred two million, three hundred thirteen thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 127 143 889 1001 1397 1651 9779 11557 18161 127127 788993 5522951 8678923 10256909 60752461 71798363 100202111 112825999 701414777 789781993 1102223221 1302627443 7715562547 9118392101 14328901873 100302313111