Search a number
-
+
331000023203322 = 231141178768450351
BaseRepresentation
bin100101101000010101111001…
…0110011011011110111111010
31121101222021220201201121210120
41023100223302303123313322
5321341101021420001242
63131551151135154110
7126501651066145434
oct11320536263336772
91541867821647716
10331000023203322
1196515359a44470
123115a032075936
1311290225875075
145ba46b5349654
15284010be341ec
hex12d0af2cdbdfa

331000023203322 has 64 divisors (see below), whose sum is σ = 740210059266048. Its totient is φ = 97801860080000.

The previous prime is 331000023203279. The next prime is 331000023203359. The reversal of 331000023203322 is 223302320000133.

It is a super-2 number, since 2×3310000232033222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331000023203292 and 331000023203301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29389554 + ... + 39060797.

It is an arithmetic number, because the mean of its divisors is an integer number (11565782176032).

Almost surely, 2331000023203322 is an apocalyptic number.

331000023203322 is an abundant number, since it is smaller than the sum of its proper divisors (409210036062726).

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

331000023203322 is a wasteful number, since it uses less digits than its factorization.

331000023203322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68452195.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 331000023203322 its reverse (223302320000133), we get a palindrome (554302343203455).

The spelling of 331000023203322 in words is "three hundred thirty-one trillion, twenty-three million, two hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 1787 2706 3574 5361 10722 19657 39314 58971 73267 117942 146534 219801 439602 805937 1611874 2417811 4835622 68450351 136900702 205351053 410702106 752953861 1505907722 2258861583 2806464391 4517723166 5612928782 8419393173 16838786346 30871108301 61742216602 92613324903 122320777237 185226649806 244641554474 366962331711 733924663422 1345528549607 2691057099214 4036585648821 5015151866717 8073171297642 10030303733434 15045455600151 30090911200302 55166670533887 110333341067774 165500011601661 331000023203322