Search a number
-
+
1022013033200 = 24525943305637
BaseRepresentation
bin11101101111101001011…
…10010100101011110000
310121200222211211101010222
432313310232110223300
5113221040314030300
62101301210112212
7133560302306255
oct16676456245360
93550884741128
101022013033200
11364484793615
121460a611b668
13754b5a31b83
1437673c1b42c
151b8b90bb785
hexedf4b94af0

1022013033200 has 60 divisors (see below), whose sum is σ = 2497003087080. Its totient is φ = 401876302080.

The previous prime is 1022013033169. The next prime is 1022013033203. The reversal of 1022013033200 is 23303102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022013033203) 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 11 ways as a sum of consecutive naturals, for example, 21629219 + ... + 21676418.

It is an arithmetic number, because the mean of its divisors is an integer number (41616718118).

Almost surely, 21022013033200 is an apocalyptic number.

1022013033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022013033200 is an abundant number, since it is smaller than the sum of its proper divisors (1474990053880).

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

1022013033200 is a wasteful number, since it uses less digits than its factorization.

1022013033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43305714 (or 43305703 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1022013033200 its reverse (23303102201), we get a palindrome (1045316135401).

The spelling of 1022013033200 in words is "one trillion, twenty-two billion, thirteen million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 4720 5900 11800 23600 43305637 86611274 173222548 216528185 346445096 433056370 692890192 866112740 1082640925 1732225480 2165281850 2555032583 3464450960 4330563700 5110065166 8661127400 10220130332 12775162915 17322254800 20440260664 25550325830 40880521328 51100651660 63875814575 102201303320 127751629150 204402606640 255503258300 511006516600 1022013033200