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130202202123331 = 1326190912444511
BaseRepresentation
bin11101100110101100010000…
…000000011010110001000011
3122002000012122022222102120121
4131212230100000122301003
5114031213102220421311
61140530022123121111
736265540642330222
oct3546542000326103
9562005568872517
10130202202123331
1138539497809268
121272a086073197
135786026b9a300
142421b6a910cb9
15100bcd1008b71
hex766b1001ac43

130202202123331 has 12 divisors (see below), whose sum is σ = 140990472039360. Its totient is φ = 120184697112480.

The previous prime is 130202202123289. The next prime is 130202202123337. The reversal of 130202202123331 is 133321202202031.

It is not a de Polignac number, because 130202202123331 - 217 = 130202201992259 is a prime.

It is a super-2 number, since 2×1302022021233312 (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 = 130202202123296 and 130202202123305.

It is not an unprimeable number, because it can be changed into a prime (130202202123337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4240366 + ... + 16684876.

It is an arithmetic number, because the mean of its divisors is an integer number (11749206003280).

Almost surely, 2130202202123331 is an apocalyptic number.

130202202123331 is a deficient number, since it is larger than the sum of its proper divisors (10788269916029).

130202202123331 is a wasteful number, since it uses less digits than its factorization.

130202202123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506446 (or 12506433 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 130202202123331 its reverse (133321202202031), we get a palindrome (263523404325362).

The spelling of 130202202123331 in words is "one hundred thirty trillion, two hundred two billion, two hundred two million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 13 169 61909 804817 10462621 12444511 161778643 2103122359 770427231499 10015554009487 130202202123331