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101130323031 = 3230736601637
BaseRepresentation
bin101111000101111010…
…1100100010001010111
3100200000221112200221200
41132023311210101113
53124103330314111
6114243021443543
710210050363633
oct1361365442127
9320027480850
10101130323031
1139986481571
12177244105b3
1396c8a4943a
144c75213dc3
15296d5b0256
hex178bd64457

101130323031 has 12 divisors (see below), whose sum is σ = 146552958552. Its totient is φ = 67200603696.

The previous prime is 101130322987. The next prime is 101130323057. The reversal of 101130323031 is 130323031101.

It is a happy number.

101130323031 is a `hidden beast` number, since 101 + 1 + 303 + 230 + 31 = 666.

It is not a de Polignac number, because 101130323031 - 215 = 101130290263 is a prime.

It is a super-3 number, since 3×1011303230313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101130322995 and 101130323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130323131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18298056 + ... + 18303581.

It is an arithmetic number, because the mean of its divisors is an integer number (12212746546).

Almost surely, 2101130323031 is an apocalyptic number.

101130323031 is a deficient number, since it is larger than the sum of its proper divisors (45422635521).

101130323031 is a wasteful number, since it uses less digits than its factorization.

101130323031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36601950 (or 36601947 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101130323031 its reverse (130323031101), we get a palindrome (231453354132).

It can be divided in two parts, 101 and 130323031, that multiplied together give a palindrome (13162626131).

The spelling of 101130323031 in words is "one hundred one billion, one hundred thirty million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 307 921 2763 36601637 109804911 329414733 11236702559 33710107677 101130323031