Search a number
-
+
101330212302331 = 6715746649206501
BaseRepresentation
bin10111000010100011000111…
…010011110010110111111011
3111021210001222201102221221021
4113002203013103302313323
5101240143233322133311
6555302242404523311
730225603060146005
oct2702430723626773
9437701881387837
10101330212302331
112a3179a1198271
12b4465830b0537
1344705235a924c
141b045a0aab375
15baac70ca8171
hex5c28c74f2dfb

101330212302331 has 16 divisors (see below), whose sum is σ = 103500371815200. Its totient is φ = 99179432352000.

The previous prime is 101330212302269. The next prime is 101330212302433. The reversal of 101330212302331 is 133203212033101.

It is a cyclic number.

It is not a de Polignac number, because 101330212302331 - 29 = 101330212301819 is a prime.

It is a super-2 number, since 2×1013302123023312 (a number of 29 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 = 101330212302296 and 101330212302305.

It is not an unprimeable number, because it can be changed into a prime (101330212308331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490597581 + ... + 490804081.

It is an arithmetic number, because the mean of its divisors is an integer number (6468773238450).

Almost surely, 2101330212302331 is an apocalyptic number.

101330212302331 is a deficient number, since it is larger than the sum of its proper divisors (2170159512869).

101330212302331 is a wasteful number, since it uses less digits than its factorization.

101330212302331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253374.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101330212302331 its reverse (133203212033101), we get a palindrome (234533424335432).

The spelling of 101330212302331 in words is "one hundred one trillion, three hundred thirty billion, two hundred twelve million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 67 157 10519 46649 206501 3125483 7323893 13835567 32420657 490700831 2172184019 9633065149 645415364983 1512391228393 101330212302331