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101320233131 = 1319456789819
BaseRepresentation
bin101111001011100101…
…0000001000010101011
3100200112011220010122002
41132113022001002223
53130000434430011
6114313524121215
710214544525455
oct1362712010253
9320464803562
10101320233131
1139a736a2867
1217777b3620b
1397291acc90
144c9252b2d5
1529800c4c3b
hex17972810ab

101320233131 has 16 divisors (see below), whose sum is σ = 114883372800. Its totient is φ = 88583541408.

The previous prime is 101320233101. The next prime is 101320233137. The reversal of 101320233131 is 131332023101.

It is a cyclic number.

It is not a de Polignac number, because 101320233131 - 26 = 101320233067 is a prime.

It is a super-2 number, since 2×1013202331312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101320233137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1083140 + ... + 1172958.

It is an arithmetic number, because the mean of its divisors is an integer number (7180210800).

Almost surely, 2101320233131 is an apocalyptic number.

101320233131 is a deficient number, since it is larger than the sum of its proper divisors (13563139669).

101320233131 is a wasteful number, since it uses less digits than its factorization.

101320233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94418.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101320233131 its reverse (131332023101), we get a palindrome (232652256232).

The spelling of 101320233131 in words is "one hundred one billion, three hundred twenty million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 19 247 4567 59371 86773 89819 1128049 1167647 1706561 22185293 410203373 5332643849 7793864087 101320233131