Search a number
-
+
131002331202333 = 353741355375243
BaseRepresentation
bin11101110010010101011011…
…011010101000001100011101
3122011211200220201000001200000
4131302111123122220030131
5114132320233241433313
61142341350134124513
736410414614305663
oct3562253332501435
9564750821001600
10131002331202333
113881785a815a18
12128391677b0739
13581360b7cc196
14244c792076c33
151022a107e6673
hex77255b6a831d

131002331202333 has 48 divisors (see below), whose sum is σ = 206453115750336. Its totient is φ = 82901936453760.

The previous prime is 131002331202241. The next prime is 131002331202343. The reversal of 131002331202333 is 333202133200131.

131002331202333 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 2 + 3 + 312 + 0 + 2 + 333 = 666.

It is not a de Polignac number, because 131002331202333 - 234 = 130985151333149 is a prime.

It is a super-2 number, since 2×1310023312023332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131002331202297 and 131002331202306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002331202343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177318991 + ... + 178056252.

It is an arithmetic number, because the mean of its divisors is an integer number (4301106578132).

Almost surely, 2131002331202333 is an apocalyptic number.

It is an amenable number.

131002331202333 is a deficient number, since it is larger than the sum of its proper divisors (75450784548003).

131002331202333 is an equidigital number, since it uses as much as digits as its factorization.

131002331202333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355375336 (or 355375324 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 131002331202333 its reverse (333202133200131), we get a palindrome (464204464402464).

The spelling of 131002331202333 in words is "one hundred thirty-one trillion, two billion, three hundred thirty-one million, two hundred two thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 41 81 111 123 243 333 369 999 1107 1517 2997 3321 4551 8991 9963 13653 40959 122877 368631 355375243 1066125729 3198377187 9595131561 13148883991 14570384963 28785394683 39446651973 43711154889 86356184049 118339955919 131133464667 355019867757 393400394001 539104243631 1065059603271 1180201182003 1617312730893 3195178809813 3540603546009 4851938192679 14555814578037 43667443734111 131002331202333