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330131102203134 = 232194720538204691
BaseRepresentation
bin100101100010000001010001…
…1000100110111110011111110
31121021220020002010120022102100
41023010002203010313303332
5321232331444131000014
63130044045030405530
7126352120316414001
oct11304024304676376
91537806063508370
10330131102203134
119620a8a576a191
12310397522008a6
13112292c9b8b29b
145b74605801538
15282770311a009
hex12c40a3137cfe

330131102203134 has 48 divisors (see below), whose sum is σ = 768950383668480. Its totient is φ = 102033800899920.

The previous prime is 330131102203103. The next prime is 330131102203151. The reversal of 330131102203134 is 431302201131033.

330131102203134 is a `hidden beast` number, since 3 + 3 + 0 + 13 + 110 + 220 + 313 + 4 = 666.

It is a super-2 number, since 2×3301311022031342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330131102203098 and 330131102203107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10269086272 + ... + 10269118419.

It is an arithmetic number, because the mean of its divisors is an integer number (16019799659760).

Almost surely, 2330131102203134 is an apocalyptic number.

330131102203134 is an abundant number, since it is smaller than the sum of its proper divisors (438819281465346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330131102203134 is a wasteful number, since it uses less digits than its factorization.

330131102203134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20538204765 (or 20538204762 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 330131102203134 its reverse (431302201131033), we get a palindrome (761433303334167).

The spelling of 330131102203134 in words is "three hundred thirty trillion, one hundred thirty-one billion, one hundred two million, two hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074 20538204691 41076409382 61614614073 123229228146 184843842219 369687684438 390225889129 780451778258 965295620477 1170677667387 1930591240954 2341355334774 2895886861431 3512033002161 5791773722862 7024066004322 8687660584293 17375321168586 18340616789063 36681233578126 55021850367189 110043700734378 165065551101567 330131102203134