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331331322001020 = 2235114621108638207
BaseRepresentation
bin100101101010110000001010…
…1110000000011011001111100
31121110010222001111212022102020
41023111200111300003121330
5321412013021413013040
63132403301422200140
7126534620014362135
oct11325402560033174
91543128044768366
10331331322001020
1196632908530720
12311b2291423050
13112b5542b726c3
145bb67431c2c8c
152848a4c270cd0
hex12d5815c0367c

331331322001020 has 96 divisors (see below), whose sum is σ = 1012285607510016. Its totient is φ = 80305361875200.

The previous prime is 331331322001019. The next prime is 331331322001021. The reversal of 331331322001020 is 20100223133133.

It is an interprime number because it is at equal distance from previous prime (331331322001019) and next prime (331331322001021).

It is a super-3 number, since 3×3313313220010203 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331331322001021) 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, 51269244 + ... + 57368963.

It is an arithmetic number, because the mean of its divisors is an integer number (10544641744896).

Almost surely, 2331331322001020 is an apocalyptic number.

331331322001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331331322001020 is an abundant number, since it is smaller than the sum of its proper divisors (680954285508996).

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

331331322001020 is a wasteful number, since it uses less digits than its factorization.

331331322001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108642851 (or 108642849 counting only the distinct ones).

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

Adding to 331331322001020 its reverse (20100223133133), we get a palindrome (351431545134153).

The spelling of 331331322001020 in words is "three hundred thirty-one trillion, three hundred thirty-one billion, three hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4621 9242 13863 18484 23105 27726 46210 50831 55452 69315 92420 101662 138630 152493 203324 254155 277260 304986 508310 609972 762465 1016620 1524930 3049860 108638207 217276414 325914621 434552828 543191035 651829242 1086382070 1195020277 1303658484 1629573105 2172764140 2390040554 3259146210 3585060831 4780081108 5975101385 6518292420 7170121662 11950202770 14340243324 17925304155 23900405540 35850608310 71701216620 502017154547 1004034309094 1506051463641 2008068618188 2510085772735 3012102927282 5020171545470 5522188700017 6024205854564 7530257318205 10040343090940 11044377400034 15060514636410 16566566100051 22088754800068 27610943500085 30121029272820 33133132200102 55221887000170 66266264400204 82832830500255 110443774000340 165665661000510 331331322001020