Search a number
-
+
130332311211311 = 1137476813336359
BaseRepresentation
bin11101101000100101011011…
…000111001100110100101111
3122002110122110212011220202222
4131220211123013030310233
5114040331033132230221
61141105500500305555
736311125112330306
oct3550453307146457
9562418425156688
10130332311211311
1138589693a16850
121274b3373a22bb
135795390548031
14242819069543d
1510103987199ab
hex76895b1ccd2f

130332311211311 has 16 divisors (see below), whose sum is σ = 149130306247680. Its totient is φ = 112828850088480.

The previous prime is 130332311211293. The next prime is 130332311211341. The reversal of 130332311211311 is 113112113233031.

It is a cyclic number.

It is not a de Polignac number, because 130332311211311 - 222 = 130332307017007 is a prime.

It is a super-2 number, since 2×1303323112113112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130332311211341) 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, 3406649051 + ... + 3406687308.

It is an arithmetic number, because the mean of its divisors is an integer number (9320644140480).

Almost surely, 2130332311211311 is an apocalyptic number.

130332311211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130332311211311 is a deficient number, since it is larger than the sum of its proper divisors (18797995036369).

130332311211311 is a wasteful number, since it uses less digits than its factorization.

130332311211311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813336454.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 130332311211311 its reverse (113112113233031), we get a palindrome (243444424444342).

The spelling of 130332311211311 in words is "one hundred thirty trillion, three hundred thirty-two billion, three hundred eleven million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 11 37 47 407 517 1739 19129 6813336359 74946699949 252093445283 320226808873 2773027898113 3522494897603 11848391928301 130332311211311