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11122231301313 = 3112434917611907
BaseRepresentation
bin1010000111011001100010…
…1001010101010011000001
31110101021102102102010210020
42201312120221111103001
52424211312203120223
635353252120324053
72225361155123346
oct241663051252301
943337372363706
1011122231301313
1135a8a03682800
1212b7690913629
13628a8b97c152
142a6466d867cd
151444ac4b11e3
hexa1d98a554c1

11122231301313 has 96 divisors (see below), whose sum is σ = 16744136403456. Its totient is φ = 6558500256000.

The previous prime is 11122231301263. The next prime is 11122231301347. The reversal of 11122231301313 is 31310313222111.

It is not a de Polignac number, because 11122231301313 - 212 = 11122231297217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11122231301113) 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 95 ways as a sum of consecutive naturals, for example, 5832317506 + ... + 5832319412.

It is an arithmetic number, because the mean of its divisors is an integer number (174418087536).

Almost surely, 211122231301313 is an apocalyptic number.

It is an amenable number.

11122231301313 is a deficient number, since it is larger than the sum of its proper divisors (5621905102143).

11122231301313 is a wasteful number, since it uses less digits than its factorization.

11122231301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11122231301313 its reverse (31310313222111), we get a palindrome (42432544523424).

The spelling of 11122231301313 in words is "eleven trillion, one hundred twenty-two billion, two hundred thirty-one million, three hundred one thousand, three hundred thirteen".

Divisors: 1 3 11 33 43 121 129 363 473 491 761 1419 1473 1907 2283 5203 5401 5721 8371 15609 16203 20977 21113 25113 32723 59411 62931 63339 82001 92081 98169 178233 230747 232243 246003 276243 359953 373651 692241 696729 902011 936337 1079859 1120953 1451227 2554673 2706033 2809011 3959483 4110161 4353681 7664019 9922121 10299707 11878449 12330483 15963497 16066993 29766363 30899121 40262491 45211771 47890491 48200979 62402761 113296777 120787473 135635313 175598467 176736923 187208283 339890331 442887401 526795401 530210769 686430371 712552457 1328662203 1944106153 2059291113 2137657371 4871761411 5832318459 7550734081 7838077027 14615284233 22652202243 23514231081 30639755651 86218847297 91919266953 258656541891 337037312161 1011111936483 3707410433771 11122231301313