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1022201133200 = 245213196577141
BaseRepresentation
bin11101101111111111110…
…11110111100010010000
310121201110221202211211122
432313333323313202100
5113221431442230300
62101332005501412
7133565045161622
oct16677773674220
93551427684748
101022201133200
11364570988965
12146139111868
13755159b0850
1437690bc2c12
151b8ca874c85
hexedffef7890

1022201133200 has 60 divisors (see below), whose sum is σ = 2644748868468. Its totient is φ = 377428108800.

The previous prime is 1022201133169. The next prime is 1022201133209. The reversal of 1022201133200 is 23311022201.

It can be written as a sum of positive squares in 6 ways, for example, as 2391992464 + 1019809140736 = 48908^2 + 1009856^2 .

It is not an unprimeable number, because it can be changed into a prime (1022201133209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98283371 + ... + 98293770.

Almost surely, 21022201133200 is an apocalyptic number.

1022201133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022201133200 is an abundant number, since it is smaller than the sum of its proper divisors (1622547735268).

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

1022201133200 is a wasteful number, since it uses less digits than its factorization.

1022201133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196577172 (or 196577161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1022201133200 its reverse (23311022201), we get a palindrome (1045512155401).

The spelling of 1022201133200 in words is "one trillion, twenty-two billion, two hundred one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 196577141 393154282 786308564 982885705 1572617128 1965771410 2555502833 3145234256 3931542820 4914428525 5111005666 7863085640 9828857050 10222011332 12777514165 15726171280 19657714100 20444022664 25555028330 39315428200 40888045328 51110056660 63887570825 78630856400 102220113320 127775141650 204440226640 255550283300 511100566600 1022201133200