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331100133121131 = 311193301159972853
BaseRepresentation
bin100101101001000100100000…
…1110100011101110001101011
31121102022212022120012100221020
41023102021001310131301223
5321344221033034334011
63132105145030143523
7126512123646334143
oct11322110164356153
91542285276170836
10331100133121131
1196553861425430
12311755107b1ba3
13112997bb08b61a
145ba9490c1d923
152842a1ab32006
hex12d2241d1dc6b

331100133121131 has 32 divisors (see below), whose sum is σ = 507101149351680. Its totient is φ = 190047748176000.

The previous prime is 331100133121127. The next prime is 331100133121141. The reversal of 331100133121131 is 131121331001133.

It is not a de Polignac number, because 331100133121131 - 22 = 331100133121127 is a prime.

It is a super-2 number, since 2×3311001331211312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331100133121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77916700 + ... + 82056153.

It is an arithmetic number, because the mean of its divisors is an integer number (15846910917240).

Almost surely, 2331100133121131 is an apocalyptic number.

331100133121131 is a deficient number, since it is larger than the sum of its proper divisors (176001016230549).

331100133121131 is a wasteful number, since it uses less digits than its factorization.

331100133121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159976187.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 331100133121131 its reverse (131121331001133), we get a palindrome (462221464122264).

The spelling of 331100133121131 in words is "three hundred thirty-one trillion, one hundred billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 627 3301 9903 36311 62719 108933 188157 689909 2069727 159972853 479918559 1759701383 3039484207 5279104149 9118452621 33434326277 100302978831 528070387753 1584211163259 5808774265283 10033337367307 17426322795849 30100012101921 110366711040377 331100133121131