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1022212220220 = 223356701282493
BaseRepresentation
bin11101110000000001001…
…10001010010100111100
310121201111201122010101000
432320000212022110330
5113221442312021340
62101333043250300
7133565241336402
oct16700046122474
93551451563330
101022212220220
11364577170794
12146140979990
1375518093109
143769246b472
151b8cb814d30
hexee0098a53c

1022212220220 has 96 divisors (see below), whose sum is σ = 3180701643840. Its totient is φ = 272548281600.

The previous prime is 1022212220201. The next prime is 1022212220273. The reversal of 1022212220220 is 220222122201.

1022212220220 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 2 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022212220193 and 1022212220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3477294 + ... + 3759786.

It is an arithmetic number, because the mean of its divisors is an integer number (33132308790).

Almost surely, 21022212220220 is an apocalyptic number.

1022212220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022212220220 is an abundant number, since it is smaller than the sum of its proper divisors (2158489423620).

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

1022212220220 is a wasteful number, since it uses less digits than its factorization.

1022212220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289212 (or 289204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1022212220220 its reverse (220222122201), we get a palindrome (1242434342421).

The spelling of 1022212220220 in words is "one trillion, twenty-two billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6701 13402 20103 26804 33505 40206 60309 67010 80412 100515 120618 134020 180927 201030 241236 282493 301545 361854 402060 564986 603090 723708 847479 904635 1129972 1206180 1412465 1694958 1809270 2542437 2824930 3389916 3618540 4237395 5084874 5649860 7627311 8474790 10169748 12712185 15254622 16949580 25424370 30509244 38136555 50848740 76273110 152546220 1892985593 3785971186 5678956779 7571942372 9464927965 11357913558 17036870337 18929855930 22715827116 28394783895 34073740674 37859711860 51110611011 56789567790 68147481348 85184351685 102221222022 113579135580 170368703370 204442444044 255553055055 340737406740 511106110110 1022212220220