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331132201121323 = 7597910979251617
BaseRepresentation
bin100101101001010011011100…
…1001110001011011000101011
31121102102221002102210120021001
41023102212321032023120223
5321400232221441340243
63132132011054455431
7126514340430002110
oct11322467116133053
91542387072716231
10331132201121323
1196566417a30628
123117b780204577
131129c82ba19274
145baac53b84907
1528437960a1a4d
hex12d29b938b62b

331132201121323 has 32 divisors (see below), whose sum is σ = 390077820057600. Its totient is φ = 275233947715584.

The previous prime is 331132201121219. The next prime is 331132201121329. The reversal of 331132201121323 is 323121102231133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331132201121323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331132201121291 and 331132201121300.

It is not an unprimeable number, because it can be changed into a prime (331132201121329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31166011 + ... + 40417627.

It is an arithmetic number, because the mean of its divisors is an integer number (12189931876800).

Almost surely, 2331132201121323 is an apocalyptic number.

331132201121323 is a deficient number, since it is larger than the sum of its proper divisors (58945618936277).

331132201121323 is a wasteful number, since it uses less digits than its factorization.

331132201121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9252859.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 331132201121323 its reverse (323121102231133), we get a palindrome (654253303352456).

The spelling of 331132201121323 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, two hundred one million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 7 59 79 413 553 1097 4661 7679 32627 64723 86663 453061 606641 5113117 9251617 35791819 64761319 545845403 730877743 3820917821 5116144201 10149023849 43121786837 71043166943 301852507859 598792407091 801772884071 4191546849637 5612410188497 47304600160189 331132201121323