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332121113310020 = 225175214507415999
BaseRepresentation
bin100101110000011111111100…
…0111110110011001101000100
31121112221110122102112211001012
41023200333320332303031010
5322012433020001410040
63134210155543021352
7126645646540626506
oct11340777076631504
91545843572484035
10332121113310020
11969078560a1801
12312bb368a3a858
1311341b6ab237c8
145c02a677bdd76
15285e3741d0865
hex12e0ff8fb3344

332121113310020 has 96 divisors (see below), whose sum is σ = 740064439296000. Its totient is φ = 124765853921280.

The previous prime is 332121113309981. The next prime is 332121113310023. The reversal of 332121113310020 is 20013311121233.

It is a super-2 number, since 2×3321211133100202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332121113310023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798161981 + ... + 798577979.

It is an arithmetic number, because the mean of its divisors is an integer number (7709004576000).

Almost surely, 2332121113310020 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 332121113310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370032219648000).

332121113310020 is an abundant number, since it is smaller than the sum of its proper divisors (407943325985980).

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

332121113310020 is a wasteful number, since it uses less digits than its factorization.

332121113310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421053 (or 421051 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 332121113310020 its reverse (20013311121233), we get a palindrome (352134424431253).

The spelling of 332121113310020 in words is "three hundred thirty-two trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 521 1042 2084 2605 4507 5210 8857 9014 10420 17714 18028 22535 35428 44285 45070 76619 88570 90140 153238 177140 306476 383095 415999 766190 831998 1532380 1663996 2079995 2348147 4159990 4696294 7071983 8319980 9392588 11740735 14143966 23481470 28287932 35359915 39918499 46962940 70719830 79836998 141439660 159673996 199592495 216735479 399184990 433470958 798369980 866941916 1083677395 1874907493 2167354790 3684503143 3749814986 4334709580 7369006286 7499629972 9374537465 14738012572 18422515715 18749074930 31873427381 36845031430 37498149860 63746854762 73690062860 127493709524 159367136905 318734273810 637468547620 976826803853 1953653607706 3907307215412 4884134019265 9768268038530 16606055665501 19536536077060 33212111331002 66424222662004 83030278327505 166060556655010 332121113310020