Search a number
-
+
100220200122020 = 225111373325155943
BaseRepresentation
bin10110110010011001010101…
…011011010111011010100100
3111010211221212001200201211112
4112302121111123113122210
5101114001432212401040
6553052305131324152
730052445662246256
oct2662312533273244
9433757761621745
10100220200122020
1129a2a16a262aa0
12b2a741a2b0658
1343bc95543a734
141aa697d9cdcd6
15b8be56340365
hex5b26556d76a4

100220200122020 has 48 divisors (see below), whose sum is σ = 231271246217088. Its totient is φ = 36177696648960.

The previous prime is 100220200122019. The next prime is 100220200122037. The reversal of 100220200122020 is 20221002022001.

It is a super-3 number, since 3×1002202001220203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220200121986 and 100220200122004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662547832 + ... + 1662608111.

It is an arithmetic number, because the mean of its divisors is an integer number (4818150962856).

Almost surely, 2100220200122020 is an apocalyptic number.

100220200122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220200122020 is an abundant number, since it is smaller than the sum of its proper divisors (131051046095068).

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

100220200122020 is a wasteful number, since it uses less digits than its factorization.

100220200122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325156100 (or 3325156098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100220200122020 its reverse (20221002022001), we get a palindrome (120441202144021).

The spelling of 100220200122020 in words is "one hundred trillion, two hundred twenty billion, two hundred million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 30140 3325155943 6650311886 13300623772 16625779715 33251559430 36576715373 66503118860 73153430746 146306861492 182883576865 365767153730 455546364191 731534307460 911092728382 1822185456764 2277731820955 4555463641910 5011010006101 9110927283820 10022020012202 20044040024404 25055050030505 50110100061010 100220200122020