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101130132331 = 7123935316883
BaseRepresentation
bin101111000101111010…
…0110101101101101011
3100200000221012000100201
41132023310311231223
53124103303213311
6114243013413031
710210045640644
oct1361364655553
9320027160321
10101130132331
1139986361268
121772433a177
1396c89b06b7
144c751a46cb
15296d5739c1
hex178bd35b6b

101130132331 has 16 divisors (see below), whose sum is σ = 103281454080. Its totient is φ = 99001450240.

The previous prime is 101130132223. The next prime is 101130132343. The reversal of 101130132331 is 133231031101.

It is a cyclic number.

It is not a de Polignac number, because 101130132331 - 221 = 101128035179 is a prime.

It is a super-2 number, since 2×1011301323312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101130132299 and 101130132308.

It is not an unprimeable number, because it can be changed into a prime (101130132361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5981616 + ... + 5998498.

It is an arithmetic number, because the mean of its divisors is an integer number (6455090880).

Almost surely, 2101130132331 is an apocalyptic number.

101130132331 is a deficient number, since it is larger than the sum of its proper divisors (2151321749).

101130132331 is a wasteful number, since it uses less digits than its factorization.

101130132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17546.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101130132331 its reverse (133231031101), we get a palindrome (234361163432).

The spelling of 101130132331 in words is "one hundred one billion, one hundred thirty million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 71 239 353 16883 16969 25063 84367 1198693 4035037 5959699 5990057 286487627 423138629 1424368061 101130132331