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330131313340340 = 225179278331046497
BaseRepresentation
bin100101100010000001010111…
…1101010010010111110110100
31121021220020121211212012012212
41023010002233222102332310
5321232332412203342330
63130044122012032552
7126352125462145241
oct11304025752227664
91537806554765185
10330131313340340
119620a9a3969746
12310397b0a62758
1311229331844945
145b746258825c8
152827716924295
hex12c40afa92fb4

330131313340340 has 48 divisors (see below), whose sum is σ = 734058177550992. Its totient is φ = 124284477014016.

The previous prime is 330131313340333. The next prime is 330131313340369. The reversal of 330131313340340 is 43043313131033.

It can be written as a sum of positive squares in 8 ways, for example, as 9066626855056 + 321064686485284 = 3011084^2 + 17918278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330131313340297 and 330131313340306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314939972 + ... + 315986468.

It is an arithmetic number, because the mean of its divisors is an integer number (15292878698979).

Almost surely, 2330131313340340 is an apocalyptic number.

It is an amenable number.

330131313340340 is an abundant number, since it is smaller than the sum of its proper divisors (403926864210652).

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

330131313340340 is a wasteful number, since it uses less digits than its factorization.

330131313340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974356 (or 1974354 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 330131313340340 its reverse (43043313131033), we get a palindrome (373174626471373).

The spelling of 330131313340340 in words is "three hundred thirty trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 927833 1046497 1855666 2092994 3711332 4185988 4639165 5232485 9278330 10464970 15773161 17790449 18556660 20929940 31546322 35580898 63092644 71161796 78865805 88952245 157731610 177904490 315463220 355808980 970974451001 1941948902002 3883897804004 4854872255005 9709744510010 16506565667017 19419489020020 33013131334034 66026262668068 82532828335085 165065656670170 330131313340340