Search a number
-
+
1002211121200 = 245211532173051
BaseRepresentation
bin11101001010110000111…
…00000001100000110000
310112210212211001000112211
432211120130001200300
5112410012021334300
62044224234301504
7132256503654352
oct16453034014060
93483784030484
101002211121200
11357043060a93
1214229a587894
137367b3c2193
1436715d7b0d2
151b10a92d4ba
hexe958701830

1002211121200 has 60 divisors (see below), whose sum is σ = 2409901629688. Its totient is φ = 400536576000.

The previous prime is 1002211121159. The next prime is 1002211121201. The reversal of 1002211121200 is 21211122001.

It is a super-2 number, since 2×10022111212002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002211121201) 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, 625326 + ... + 1547725.

Almost surely, 21002211121200 is an apocalyptic number.

1002211121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211121200 is an abundant number, since it is smaller than the sum of its proper divisors (1407690508488).

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

1002211121200 is a wasteful number, since it uses less digits than its factorization.

1002211121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174222 (or 2174211 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002211121200 its reverse (21211122001), we get a palindrome (1023422243201).

The spelling of 1002211121200 in words is "one trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1153 2306 4612 5765 9224 11530 18448 23060 28825 46120 57650 92240 115300 230600 461200 2173051 4346102 8692204 10865255 17384408 21730510 34768816 43461020 54326275 86922040 108652550 173844080 217305100 434610200 869220400 2505527803 5011055606 10022111212 12527639015 20044222424 25055278030 40088444848 50110556060 62638195075 100221112120 125276390150 200442224240 250552780300 501105560600 1002211121200