Search a number
-
+
331022311310031 = 31118607153909417
BaseRepresentation
bin100101101000100000010001…
…1010001110100001011001111
31121102001102110000201202101020
41023101000203101310023033
5321341432143143410111
63132005314522445223
7126503400314010405
oct11321004321641317
91542042400652336
10331022311310031
1196523857000970
1231162412363813
13112923682bc5a3
145ba57cb485475
1528409b39c2906
hex12d10234742cf

331022311310031 has 16 divisors (see below), whose sum is σ = 481489594852608. Its totient is φ = 200618500702400.

The previous prime is 331022311310023. The next prime is 331022311310059. The reversal of 331022311310031 is 130013113220133.

It is not a de Polignac number, because 331022311310031 - 23 = 331022311310023 is a prime.

It is a super-2 number, since 2×3310223113100312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331022311309983 and 331022311310010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331022311310081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20814366 + ... + 33095051.

It is an arithmetic number, because the mean of its divisors is an integer number (30093099678288).

Almost surely, 2331022311310031 is an apocalyptic number.

331022311310031 is a deficient number, since it is larger than the sum of its proper divisors (150467283542577).

331022311310031 is a wasteful number, since it uses less digits than its factorization.

331022311310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54095502.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331022311310031 its reverse (130013113220133), we get a palindrome (461035424530164).

The spelling of 331022311310031 in words is "three hundred thirty-one trillion, twenty-two billion, three hundred eleven million, three hundred ten thousand, thirty-one".

Divisors: 1 3 11 33 186071 558213 2046781 6140343 53909417 161728251 593003587 1779010761 10030979130607 30092937391821 110340770436677 331022311310031