Search a number
-
+
21212020102122 = 2321996764140073
BaseRepresentation
bin1001101001010110011101…
…11011000101001111101010
32210002211221011010001220200
410310223032323011033222
510240014204121231442
6113040400103133030
74316342426634303
oct464531673051752
983084834101820
1021212020102122
116838a70395823
122467046744176
13bab391c50cb5
1453494ad177aa
1526bb8ee6334c
hex134aceec53ea

21212020102122 has 48 divisors (see below), whose sum is σ = 48428321472960. Its totient is φ = 6691605431616.

The previous prime is 21212020102099. The next prime is 21212020102123. The reversal of 21212020102122 is 22120102021212.

It is a happy number.

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 = 21212020102095 and 21212020102104.

It is not an unprimeable number, because it can be changed into a prime (21212020102123) 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, 31739323 + ... + 32400750.

It is an arithmetic number, because the mean of its divisors is an integer number (1008923364020).

Almost surely, 221212020102122 is an apocalyptic number.

21212020102122 is an abundant number, since it is smaller than the sum of its proper divisors (27216301370838).

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

21212020102122 is a wasteful number, since it uses less digits than its factorization.

21212020102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64141067 (or 64141064 counting only the distinct ones).

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

Adding to 21212020102122 its reverse (22120102021212), we get a palindrome (43332122123334).

The spelling of 21212020102122 in words is "twenty-one trillion, two hundred twelve billion, twenty million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 967 1934 2901 5802 8703 17406 18373 36746 55119 110238 165357 330714 64140073 128280146 192420219 384840438 577260657 1154521314 1218661387 2437322774 3655984161 7311968322 10967952483 21935904966 62023450591 124046901182 186070351773 372140703546 558211055319 1116422110638 1178445561229 2356891122458 3535336683687 7070673367374 10606010051061 21212020102122