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1022120022300 = 2235213262082057
BaseRepresentation
bin11101101111110110001…
…10011101000100011100
310121201021022010222121020
432313323012131010130
5113221300211203200
62101315551204140
7133563041560656
oct16677306350434
93551238128536
101022120022300
1136452a119063
12146115b16650
1375501c51930
143768410b6d6
151b8c36a1ea0
hexedfb19d11c

1022120022300 has 72 divisors (see below), whose sum is σ = 3184821168816. Its totient is φ = 251598773760.

The previous prime is 1022120022289. The next prime is 1022120022317. The reversal of 1022120022300 is 32200212201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1022120022300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 131037129 + ... + 131044928.

Almost surely, 21022120022300 is an apocalyptic number.

1022120022300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022120022300 is an abundant number, since it is smaller than the sum of its proper divisors (2162701146516).

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

1022120022300 is a wasteful number, since it uses less digits than its factorization.

1022120022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262082087 (or 262082080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1022120022300 its reverse (32200212201), we get a palindrome (1054320234501).

The spelling of 1022120022300 in words is "one trillion, twenty-two billion, one hundred twenty million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 262082057 524164114 786246171 1048328228 1310410285 1572492342 2620820570 3144984684 3407066741 3931230855 5241641140 6552051425 6814133482 7862461710 10221200223 13104102850 13628266964 15724923420 17035333705 19656154275 20442400446 26208205700 34070667410 39312308550 40884800892 51106001115 68141334820 78624617100 85176668525 102212002230 170353337050 204424004460 255530005575 340706674100 511060011150 1022120022300