Search a number
-
+
2120221112022 = 2321365313875611
BaseRepresentation
bin11110110110100111000…
…001101011011011010110
321111200122212002010010200
4132312213001223123112
5234214203101041042
64302003252401330
7306116025044646
oct36664701533326
97450585063120
102120221112022
117481a95a8712
122a2ab5916246
13124c224b8350
1474895312526
153a2425acc4c
hex1eda706b6d6

2120221112022 has 48 divisors (see below), whose sum is σ = 4954759035408. Its totient is φ = 651376635840.

The previous prime is 2120221112011. The next prime is 2120221112027. The reversal of 2120221112022 is 2202111220212.

It is a happy number.

It is a super-3 number, since 3×21202211120223 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120221111986 and 2120221112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120221112027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6785004 + ... + 7090607.

It is an arithmetic number, because the mean of its divisors is an integer number (103224146571).

Almost surely, 22120221112022 is an apocalyptic number.

2120221112022 is an abundant number, since it is smaller than the sum of its proper divisors (2834537923386).

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

2120221112022 is a wasteful number, since it uses less digits than its factorization.

2120221112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876285 (or 13876282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120221112022 its reverse (2202111220212), we get a palindrome (4322332332234).

The spelling of 2120221112022 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 653 1306 1959 3918 5877 8489 11754 16978 25467 50934 76401 152802 13875611 27751222 41626833 83253666 124880499 180382943 249760998 360765886 541148829 1082297658 1623446487 3246892974 9060773983 18121547966 27182321949 54364643898 81546965847 117790061779 163093931694 235580123558 353370185337 706740370674 1060110556011 2120221112022