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331230122320 = 245163116321841
BaseRepresentation
bin1001101000111101101…
…10101001000101010000
31011122221222220121201011
410310132312221011100
520411324402403240
6412055351020304
732634122404546
oct4643666510520
91148858817634
10331230122320
11118523850449
125424036a694
1325309003a26
1412062abbd96
1589392c36ea
hex4d1eda9150

331230122320 has 80 divisors (see below), whose sum is σ = 775536380352. Its totient is φ = 131559966720.

The previous prime is 331230122309. The next prime is 331230122371. The reversal of 331230122320 is 23221032133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 331230122291 and 331230122300.

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, 15154600 + ... + 15176440.

Almost surely, 2331230122320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331230122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387768190176).

331230122320 is an abundant number, since it is smaller than the sum of its proper divisors (444306258032).

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

331230122320 is a wasteful number, since it uses less digits than its factorization.

331230122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23180 (or 23174 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 331230122320 its reverse (23221032133), we get a palindrome (354451154453).

The spelling of 331230122320 in words is "three hundred thirty-one billion, two hundred thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1163 1304 1630 2326 2608 3260 4652 5815 6520 9304 11630 13040 18608 21841 23260 43682 46520 87364 93040 109205 174728 189569 218410 349456 379138 436820 758276 873640 947845 1516552 1747280 1895690 3033104 3560083 3791380 7120166 7582760 14240332 15165520 17800415 25401083 28480664 35600830 50802166 56961328 71201660 101604332 127005415 142403320 203208664 254010830 284806640 406417328 508021660 1016043320 2032086640 4140376529 8280753058 16561506116 20701882645 33123012232 41403765290 66246024464 82807530580 165615061160 331230122320