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331132112020031 = 72335111261146451
BaseRepresentation
bin100101101001010011011001…
…1111010010010001000111111
31121102102220212020010202021012
41023102212303322102020333
5321400232031134120111
63132131554153025435
7126514335265441430
oct11322466372221077
91542386766122235
10331132112020031
11965663817034a3
123117b7563b527b
131129c8164203ca
145baac45dcd487
15284378d35148b
hex12d29b3e9223f

331132112020031 has 32 divisors (see below), whose sum is σ = 395042767773696. Its totient is φ = 271382508540000.

The previous prime is 331132112019949. The next prime is 331132112020033. The reversal of 331132112020031 is 130020211231133.

It is a cyclic number.

It is not a de Polignac number, because 331132112020031 - 230 = 331131038278207 is a prime.

It is a super-3 number, since 3×3311321120200313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 331132112019979 and 331132112020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132112020033) 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, 7128609356 + ... + 7128655806.

It is an arithmetic number, because the mean of its divisors is an integer number (12345086492928).

Almost surely, 2331132112020031 is an apocalyptic number.

331132112020031 is a deficient number, since it is larger than the sum of its proper divisors (63910655753665).

331132112020031 is a wasteful number, since it uses less digits than its factorization.

331132112020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62603.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 331132112020031 its reverse (130020211231133), we get a palindrome (461152323251164).

The spelling of 331132112020031 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, one hundred twelve million, twenty thousand, thirty-one".

Divisors: 1 7 23 161 3511 12611 24577 46451 80753 88277 290053 325157 565271 1068373 2030371 7478611 44277221 163089461 309940547 585793561 1018376083 1141626227 3751057603 4100554927 7128632581 13473251903 26257403221 94312763321 2056721192671 14397048348697 47304587431433 331132112020031