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331034121330 = 235117191395179
BaseRepresentation
bin1001101000100110010…
…10111101010001110010
31011122110100002201220020
410310103022331101302
520410424213340310
6412024110024310
732626222414233
oct4642312752162
91148410081806
10331034121330
11118433149a60
12541a67a8096
13252a7519a03
1412044a5b08a
158926ea9170
hex4d132bd472

331034121330 has 64 divisors (see below), whose sum is σ = 867913574400. Its totient is φ = 80139024320.

The previous prime is 331034121317. The next prime is 331034121371. The reversal of 331034121330 is 33121430133.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 331034121330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460320 + ... + 934859.

It is an arithmetic number, because the mean of its divisors is an integer number (13561149600).

Almost surely, 2331034121330 is an apocalyptic number.

331034121330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331034121330 is an abundant number, since it is smaller than the sum of its proper divisors (536879453070).

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

331034121330 is a wasteful number, since it uses less digits than its factorization.

331034121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395919.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331034121330 its reverse (33121430133), we get a palindrome (364155551463).

The spelling of 331034121330 in words is "three hundred thirty-one billion, thirty-four million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 719 1438 2157 3595 4314 7190 7909 10785 15818 21570 23727 39545 47454 79090 118635 237270 1395179 2790358 4185537 6975895 8371074 13951790 15346969 20927685 30693938 41855370 46040907 76734845 92081814 153469690 230204535 460409070 1003133701 2006267402 3009401103 5015668505 6018802206 10031337010 11034470711 15047005515 22068941422 30094011030 33103412133 55172353555 66206824266 110344707110 165517060665 331034121330