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212122332201330 = 232523498720548337
BaseRepresentation
bin110000001110110010010100…
…010000101000000101110010
31000211001200211001022212122100
4300032302110100220011302
5210300403014020420310
62031051353143121230
762452222065021315
oct6016622420500562
91024050731285570
10212122332201330
1161652637567691
121b95a88ba43216
1391490860a3bc5
143a54ac059a97c
15197cbc6a97ec0
hexc0ec94428172

212122332201330 has 96 divisors (see below), whose sum is σ = 575612537445504. Its totient is φ = 54095713740288.

The previous prime is 212122332201271. The next prime is 212122332201433. The reversal of 212122332201330 is 33102233221212.

212122332201330 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 2 + 3 + 322 + 0 + 1 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212122332201294 and 212122332201303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48922 + ... + 20597258.

It is an arithmetic number, because the mean of its divisors is an integer number (5995963931724).

Almost surely, 2212122332201330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122332201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287806268722752).

212122332201330 is an abundant number, since it is smaller than the sum of its proper divisors (363490205244174).

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

212122332201330 is a wasteful number, since it uses less digits than its factorization.

212122332201330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20553360 (or 20553357 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212122332201330 its reverse (33102233221212), we get a palindrome (245224565422542).

The spelling of 212122332201330 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4987 9974 14961 24935 29922 44883 49870 74805 89766 114701 149610 224415 229402 344103 448830 573505 688206 1032309 1147010 1720515 2064618 3441030 5161545 10323090 20548337 41096674 61645011 102741685 123290022 184935033 205483370 308225055 369870066 472611751 616450110 924675165 945223502 1417835253 1849350330 2363058755 2835670506 4253505759 4726117510 7089176265 8507011518 14178352530 21267528795 42535057590 102474556619 204949113238 307423669857 512372783095 614847339714 922271009571 1024745566190 1537118349285 1844542019142 2356914802237 3074236698570 4611355047855 4713829604474 7070744406711 9222710095710 11784574011185 14141488813422 21212233220133 23569148022370 35353722033555 42424466440266 70707444067110 106061166100665 212122332201330