Search a number
-
+
20101022112220 = 2257236242553451
BaseRepresentation
bin1001001001000001000100…
…10010000101100111011100
32122011122020210101112021121
410210200202102011213130
510113313343130042340
6110430140532340324
74143152031555250
oct444404222054734
978148223345247
1020101022112220
11644a882a4a185
1223078677746a4
13b2a6977a32ba
144d6c74d44260
1524cd18bbd94a
hex1248224859dc

20101022112220 has 48 divisors (see below), whose sum is σ = 50339951036928. Its totient is φ = 6592136443200.

The previous prime is 20101022112217. The next prime is 20101022112299. The reversal of 20101022112220 is 2221122010102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20101022112194 and 20101022112203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121273506 + ... + 3121279945.

It is an arithmetic number, because the mean of its divisors is an integer number (1048748979936).

Almost surely, 220101022112220 is an apocalyptic number.

20101022112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101022112220 is an abundant number, since it is smaller than the sum of its proper divisors (30238928924708).

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

20101022112220 is a wasteful number, since it uses less digits than its factorization.

20101022112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242553490 (or 6242553488 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101022112220 its reverse (2221122010102), we get a palindrome (22322144122322).

The spelling of 20101022112220 in words is "twenty trillion, one hundred one billion, twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 6242553451 12485106902 24970213804 31212767255 43697874157 62425534510 87395748314 124851069020 143578729373 174791496628 218489370785 287157458746 436978741570 574314917492 717893646865 873957483140 1005051105611 1435787293730 2010102211222 2871574587460 4020204422444 5025255528055 10050511056110 20101022112220