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212021320232120 = 23578913961209199
BaseRepresentation
bin110000001101010100001111…
…011110100010110010111000
31000210201001002100111011121112
4300031110033132202302320
5210242224130434411440
62030533125550055452
762442014652321260
oct6015241736426270
91023631070434545
10212021320232120
11616138119830a3
121b94319b1aa588
13913c6a8a26319
143a4dc5ad947a0
15197a263ab5965
hexc0d50f7a2cb8

212021320232120 has 128 divisors (see below), whose sum is σ = 555289862400000. Its totient is φ = 71359152049152.

The previous prime is 212021320232119. The next prime is 212021320232123. The reversal of 212021320232120 is 21232023120212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021320232123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27140720 + ... + 34068479.

It is an arithmetic number, because the mean of its divisors is an integer number (4338202050000).

Almost surely, 2212021320232120 is an apocalyptic number.

212021320232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021320232120 is an abundant number, since it is smaller than the sum of its proper divisors (343268542167880).

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

212021320232120 is a wasteful number, since it uses less digits than its factorization.

212021320232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61209445 (or 61209441 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212021320232120 its reverse (21232023120212), we get a palindrome (233253343352332).

The spelling of 212021320232120 in words is "two hundred twelve trillion, twenty-one billion, three hundred twenty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 139 140 178 278 280 356 445 556 623 695 712 890 973 1112 1246 1390 1780 1946 2492 2780 3115 3560 3892 4865 4984 5560 6230 7784 9730 12371 12460 19460 24742 24920 38920 49484 61855 86597 98968 123710 173194 247420 346388 432985 494840 692776 865970 1731940 3463880 61209199 122418398 244836796 306045995 428464393 489673592 612091990 856928786 1224183980 1713857572 2142321965 2448367960 3427715144 4284643930 5447618711 8508078661 8569287860 10895237422 17016157322 17138575720 21790474844 27238093555 34032314644 38133330977 42540393305 43580949688 54476187110 59556550627 68064629288 76266661954 85080786610 108952374220 119113101254 152533323908 170161573220 190666654885 217904748440 238226202508 297782753135 305066647816 340323146440 381333309770 476452405016 595565506270 757219000829 762666619540 1191131012540 1514438001658 1525333239080 2382262025080 3028876003316 3786095004145 5300533005803 6057752006632 7572190008290 10601066011606 15144380016580 21202132023212 26502665029015 30288760033160 42404264046424 53005330058030 106010660116060 212021320232120