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31130130033 = 35315996899
BaseRepresentation
bin11100111111100000…
…000001011001110001
32222100111211110100000
4130333200001121301
51002223303130113
622145002420213
72151301511412
oct347740013161
988314743300
1031130130033
11122251684a2
126049501669
132c21564cb2
14171458b809
15c22e62373
hex73f801671

31130130033 has 48 divisors (see below), whose sum is σ = 48222720000. Its totient is φ = 20047519440.

The previous prime is 31130130013. The next prime is 31130130037. The reversal of 31130130033 is 33003103113.

31130130033 is a `hidden beast` number, since 31 + 1 + 301 + 300 + 33 = 666.

It is not a de Polignac number, because 31130130033 - 26 = 31130129969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31130129988 and 31130130015.

It is not an unprimeable number, because it can be changed into a prime (31130130037) 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 47 ways as a sum of consecutive naturals, for example, 4508818 + ... + 4515716.

It is an arithmetic number, because the mean of its divisors is an integer number (1004640000).

Almost surely, 231130130033 is an apocalyptic number.

It is an amenable number.

31130130033 is a deficient number, since it is larger than the sum of its proper divisors (17092589967).

31130130033 is an equidigital number, since it uses as much as digits as its factorization.

31130130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31130130033 its reverse (33003103113), we get a palindrome (64133233146).

The spelling of 31130130033 in words is "thirty-one billion, one hundred thirty million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 9 27 31 81 93 243 279 599 837 1797 2511 5391 6899 7533 16173 18569 20697 48519 55707 62091 145557 167121 186273 213869 501363 558819 641607 1504089 1676457 1924821 4132501 4512267 5774463 12397503 17323389 37192509 51970167 111577527 128107531 334732581 384322593 1004197743 1152967779 3458903337 10376710011 31130130033