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1022212120020 = 2235713187218337
BaseRepresentation
bin11101110000000001001…
…01110001110111010100
310121201111201110000220220
432320000211301313110
5113221442300320040
62101333041154340
7133565240441310
oct16700045616724
93551451400826
101022212120020
11364577102483
1214614092b9b0
1375518059620
1437692442b40
151b8cb7e52d0
hexee00971dd4

1022212120020 has 96 divisors (see below), whose sum is σ = 3522700247808. Its totient is φ = 215675523072.

The previous prime is 1022212120003. The next prime is 1022212120103. The reversal of 1022212120020 is 200212122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93603709 + ... + 93614628.

It is an arithmetic number, because the mean of its divisors is an integer number (36694794248).

Almost surely, 21022212120020 is an apocalyptic number.

1022212120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022212120020 is an abundant number, since it is smaller than the sum of its proper divisors (2500488127788).

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

1022212120020 is a wasteful number, since it uses less digits than its factorization.

1022212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187218369 (or 187218367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1022212120020 its reverse (200212122201), we get a palindrome (1222424242221).

The spelling of 1022212120020 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 187218337 374436674 561655011 748873348 936091685 1123310022 1310528359 1872183370 2246620044 2433838381 2621056718 2808275055 3744366740 3931585077 4867676762 5242113436 5616550110 6552641795 7301515143 7863170154 9735353524 11233100220 12169191905 13105283590 14603030286 15726340308 17036868667 19657925385 24338383810 26210567180 29206060572 34073737334 36507575715 39315850770 48676767620 51110606001 68147474668 73015151430 78631701540 85184343335 102221212002 146030302860 170368686670 204442424004 255553030005 340737373340 511106060010 1022212120020