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311320101300030 = 232513399325815619
BaseRepresentation
bin100011011001001001101110…
…0000011001010011100111110
31111211021220121010200010200100
41012302103130003022130332
5311301132031413100110
63022042251413341530
7122401064221061244
oct10662233403123476
91454256533603610
10311320101300030
11902181280a3989
122aabbb080378a6
131049348a00c834
1456c3d8aa44794
1525ed23c2a2bc0
hex11b24dc0ca73e

311320101300030 has 48 divisors (see below), whose sum is σ = 809438335589520. Its totient is φ = 83018070889344.

The previous prime is 311320101300017. The next prime is 311320101300199. The reversal of 311320101300030 is 30003101023113.

It is a happy number.

311320101300030 is a `hidden beast` number, since 3 + 1 + 1 + 320 + 10 + 1 + 300 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311320101299976 and 311320101300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848440 + ... + 24967179.

It is an arithmetic number, because the mean of its divisors is an integer number (16863298658115).

Almost surely, 2311320101300030 is an apocalyptic number.

311320101300030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311320101300030 is an abundant number, since it is smaller than the sum of its proper divisors (498118234289490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311320101300030 is a wasteful number, since it uses less digits than its factorization.

311320101300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25949625 (or 25949622 counting only the distinct ones).

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

Adding to 311320101300030 its reverse (30003101023113), we get a palindrome (341323202323143).

The spelling of 311320101300030 in words is "three hundred eleven trillion, three hundred twenty billion, one hundred one million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 133993 267986 401979 669965 803958 1205937 1339930 2009895 2411874 4019790 6029685 12059370 25815619 51631238 77446857 129078095 154893714 232340571 258156190 387234285 464681142 774468570 1161702855 2323405710 3459112236667 6918224473334 10377336710001 17295561183335 20754673420002 31132010130003 34591122366670 51886683550005 62264020260006 103773367100010 155660050650015 311320101300030