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331220212113231 = 3474507129612299
BaseRepresentation
bin100101101001111100011011…
…1000101011101111101001111
31121102202100021002000012020000
41023103320313011131331033
5321403202443300110411
63132240244223455343
7126523604425044210
oct11323706705357517
91542670232005200
10331220212113231
119659a780932481
1231194842a57553
13112a7c1674237c
145bb1202849407
152845be79dc956
hex12d3e3715df4f

331220212113231 has 40 divisors (see below), whose sum is σ = 565594896451200. Its totient is φ = 189226696791312.

The previous prime is 331220212113227. The next prime is 331220212113239. The reversal of 331220212113231 is 132311212022133.

331220212113231 is a `hidden beast` number, since 3 + 3 + 12 + 202 + 1 + 211 + 3 + 231 = 666.

It is not a de Polignac number, because 331220212113231 - 22 = 331220212113227 is a prime.

It is a super-2 number, since 2×3312202121132312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331220212113195 and 331220212113204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220212113239) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62250681 + ... + 67361618.

It is an arithmetic number, because the mean of its divisors is an integer number (14139872411280).

Almost surely, 2331220212113231 is an apocalyptic number.

331220212113231 is a deficient number, since it is larger than the sum of its proper divisors (234374684337969).

331220212113231 is a wasteful number, since it uses less digits than its factorization.

331220212113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129616825 (or 129616816 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 331220212113231 its reverse (132311212022133), we get a palindrome (463531424135364).

The spelling of 331220212113231 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred twelve million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4507 13521 31549 40563 94647 121689 283941 365067 851823 2555469 129612299 388836897 907286093 1166510691 2721858279 3499532073 8165574837 10498596219 24496724511 73490173533 584162631593 1752487894779 4089138421151 5257463684337 12267415263453 15772391053011 36802245790359 47317173159033 110406737371077 331220212113231