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331000123212220 = 225711760328269781
BaseRepresentation
bin100101101000010101111100…
…0110000111100000110111100
31121101222022011200220121012211
41023100223320300330012330
5321341101223020242340
63131551205110510204
7126501653422205530
oct11320537060740674
91541868150817184
10331000123212220
1196515400441650
123115a05b665364
13112902404bc927
145ba46c473dbc0
152840115adb5ea
hex12d0af8c3c1bc

331000123212220 has 96 divisors (see below), whose sum is σ = 866732518826496. Its totient is φ = 103155296428800.

The previous prime is 331000123212197. The next prime is 331000123212221. The reversal of 331000123212220 is 22212321000133.

It is a super-3 number, since 3×3310001232122203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331000123212191 and 331000123212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000123212221) 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, 2426271 + ... + 25843510.

It is an arithmetic number, because the mean of its divisors is an integer number (9028463737776).

Almost surely, 2331000123212220 is an apocalyptic number.

It is an amenable number.

331000123212220 is an abundant number, since it is smaller than the sum of its proper divisors (535732395614276).

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

331000123212220 is a wasteful number, since it uses less digits than its factorization.

331000123212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28277411 (or 28277409 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 331000123212220 its reverse (22212321000133), we get a palindrome (353212444212353).

The spelling of 331000123212220 in words is "three hundred thirty-one trillion, one hundred twenty-three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 7603 15206 30412 38015 53221 76030 83633 106442 152060 167266 212884 266105 334532 418165 532210 585431 836330 1064420 1170862 1672660 2341724 2927155 5854310 11708620 28269781 56539562 113079124 141348905 197888467 282697810 310967591 395776934 565395620 621935182 791553868 989442335 1243870364 1554837955 1978884670 2176773137 3109675910 3957769340 4353546274 6219351820 8707092548 10883865685 21767731370 43535462740 214935144943 429870289886 859740579772 1074675724715 1504546014601 2149351449430 2364286594373 3009092029202 4298702898860 4728573188746 6018184058404 7522730073005 9457146377492 11821432971865 15045460146010 16550006160611 23642865943730 30090920292020 33100012321222 47285731887460 66200024642444 82750030803055 165500061606110 331000123212220