Search a number
-
+
1020200220102 = 237432931927969
BaseRepresentation
bin11101101100010001010…
…10111111010111000110
310121112022111200221002010
432312020222333113012
5113203332224020402
62100401251155050
7133464340535010
oct16661052772706
93545274627063
101020200220102
11363734478278
1214587aba5a86
13752872a69bb
143754116b1b0
151b80ed81a6c
hexed88abf5c6

1020200220102 has 64 divisors (see below), whose sum is σ = 2394261112320. Its totient is φ = 283735194624.

The previous prime is 1020200220071. The next prime is 1020200220103. The reversal of 1020200220102 is 2010220020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020200220103) 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 31 ways as a sum of consecutive naturals, for example, 434827 + ... + 1493142.

It is an arithmetic number, because the mean of its divisors is an integer number (37410329880).

Almost surely, 21020200220102 is an apocalyptic number.

1020200220102 is an abundant number, since it is smaller than the sum of its proper divisors (1374060892218).

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

1020200220102 is a wasteful number, since it uses less digits than its factorization.

1020200220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928317.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020200220102 its reverse (2010220020201), we get a palindrome (3030420240303).

The spelling of 1020200220102 in words is "one trillion, twenty billion, two hundred million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 293 301 586 602 879 903 1758 1806 2051 4102 6153 12306 12599 25198 37797 75594 88193 176386 264579 529158 1927969 3855938 5783907 11567814 13495783 26991566 40487349 80974698 82902667 165805334 248708001 497416002 564894917 580318669 1129789834 1160637338 1694684751 1740956007 3389369502 3481912014 3954264419 7908528838 11862793257 23725586514 24290481431 48580962862 72871444293 145742888586 170033370017 340066740034 510100110051 1020200220102