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1014232313213 = 7241261972081
BaseRepresentation
bin11101100001001001111…
…01001110110101111101
310120221220121000211212122
432300210331032311331
5113104121433010323
62053533142212325
7133163423263400
oct16604475166575
93527817024778
101014232313213
11361151777519
121446944240a5
1374845a66852
1437136713d37
151b5b0e87ec8
hexec24f4ed7d

1014232313213 has 72 divisors (see below), whose sum is σ = 1242391934952. Its totient is φ = 825237504000.

The previous prime is 1014232313207. The next prime is 1014232313257. The reversal of 1014232313213 is 3123132324101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 963613163044 + 50619150169 = 981638^2 + 224987^2 .

It is not a de Polignac number, because 1014232313213 - 230 = 1013158571389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014232316213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487376333 + ... + 487378413.

It is an arithmetic number, because the mean of its divisors is an integer number (17255443541).

Almost surely, 21014232313213 is an apocalyptic number.

It is an amenable number.

1014232313213 is a deficient number, since it is larger than the sum of its proper divisors (228159621739).

1014232313213 is an equidigital number, since it uses as much as digits as its factorization.

1014232313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1014232313213 its reverse (3123132324101), we get a palindrome (4137364637314).

The spelling of 1014232313213 in words is "one trillion, fourteen billion, two hundred thirty-two million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 7 41 49 61 97 287 427 679 1681 2009 2081 2501 2989 3977 4753 5917 11767 14567 17507 27839 41419 82369 85321 101969 102541 122549 126941 163057 194873 201857 242597 289933 597247 717787 888587 1141399 1412999 1698179 3498161 4180729 5024509 5204581 6220109 7989793 8276137 9890993 9946477 11887253 12313277 24487127 36432067 57932959 69625339 86192939 171409889 213387821 255024469 339321617 405530713 487377373 504844357 603350573 1493714747 2375251319 3533910499 10456003229 16626759233 20698618637 24737373493 144890330459 1014232313213