Search a number
-
+
1020120012200 = 23525396237737
BaseRepresentation
bin11101101100000111110…
…01000001010110101000
310121112002220202221112002
432312003321001112220
5113203201210342300
62100345304110132
7133462345014512
oct16660371012650
93545086687462
101020120012200
113636a3174953
12145858165348
13752737a2ac3
143753464cbb2
151b807cdb5d5
hexed83e415a8

1020120012200 has 48 divisors (see below), whose sum is σ = 2416529601180. Its totient is φ = 400348981760.

The previous prime is 1020120012139. The next prime is 1020120012209. The reversal of 1020120012200 is 22100210201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 472813012996 + 547306999204 = 687614^2 + 739802^2 .

It is not an unprimeable number, because it can be changed into a prime (1020120012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48108269 + ... + 48129468.

Almost surely, 21020120012200 is an apocalyptic number.

1020120012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020120012200 is an abundant number, since it is smaller than the sum of its proper divisors (1396409588980).

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

1020120012200 is a wasteful number, since it uses less digits than its factorization.

1020120012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96237806 (or 96237797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020120012200 its reverse (22100210201), we get a palindrome (1042220222401).

The spelling of 1020120012200 in words is "one trillion, twenty billion, one hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 96237737 192475474 384950948 481188685 769901896 962377370 1924754740 2405943425 3849509480 4811886850 5100600061 9623773700 10201200122 19247547400 20402400244 25503000305 40804800488 51006000610 102012001220 127515001525 204024002440 255030003050 510060006100 1020120012200