Search a number
-
+
331131112320031 = 3753976163282461
BaseRepresentation
bin100101101001010010111100…
…0010100101110110000011111
31121102102211021120000201200021
41023102211320110232300133
5321400223004223220111
63132131311042013011
7126514301436230242
oct11322457024566037
91542384246021607
10331131112320031
1196565a09375051
123117b517647167
131129c6b728994a
145baab8d31d259
1528437306cdd71
hex12d297852ec1f

331131112320031 has 32 divisors (see below), whose sum is σ = 350127394561728. Its totient is φ = 312792064266240.

The previous prime is 331131112320007. The next prime is 331131112320079. The reversal of 331131112320031 is 130023211131133.

It is a cyclic number.

It is not a de Polignac number, because 331131112320031 - 211 = 331131112317983 is a prime.

It is a super-2 number, since 2×3311311123200312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331131112319978 and 331131112320005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131112323031) 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, 1172166141 + ... + 1172448601.

It is an arithmetic number, because the mean of its divisors is an integer number (10941481080054).

Almost surely, 2331131112320031 is an apocalyptic number.

331131112320031 is a deficient number, since it is larger than the sum of its proper divisors (18996282241697).

331131112320031 is a wasteful number, since it uses less digits than its factorization.

331131112320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288811.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 331131112320031 its reverse (130023211131133), we get a palindrome (461154323451164).

The spelling of 331131112320031 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twelve million, three hundred twenty thousand, thirty-one".

Divisors: 1 37 53 97 1961 3589 5141 6163 190217 228031 282461 326639 597811 10451057 12085643 14970433 22119007 27398717 31683983 553906021 1013752529 1172307371 1452132001 1740807143 53728884037 64409864291 92262778579 168858292871 3413722807423 6247756836227 8949489522163 331131112320031