Search a number
-
+
20212121011122 = 234103211760409
BaseRepresentation
bin1001001100010000000000…
…10010110000001110110010
32122120021000110120100120000
410212020000102300032302
510122123410434323442
6110553153055330430
74154164125614505
oct446100022601662
978507013510500
1020212121011122
116492a044222a7
1223252b2520a16
13b37cc1856931
144dc3b405b13c
15250b6c4d0d4c
hex1262004b03b2

20212121011122 has 60 divisors (see below), whose sum is σ = 45734105855790. Its totient is φ = 6671961708192.

The previous prime is 20212121011097. The next prime is 20212121011123. The reversal of 20212121011122 is 22111012121202.

20212121011122 is a `hidden beast` number, since 202 + 121 + 210 + 11 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11593146526641 + 8618974484481 = 3404871^2 + 2935809^2 .

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 = 20212121011095 and 20212121011104.

It is not an unprimeable number, because it can be changed into a prime (20212121011123) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4161547 + ... + 7598862.

Almost surely, 220212121011122 is an apocalyptic number.

20212121011122 is an abundant number, since it is smaller than the sum of its proper divisors (25521984844668).

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

20212121011122 is a wasteful number, since it uses less digits than its factorization.

20212121011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760629 (or 11760517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20212121011122 its reverse (22111012121202), we get a palindrome (42323133132324).

The spelling of 20212121011122 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2781 5562 8343 10609 16686 21218 31827 63654 95481 190962 286443 572886 859329 1718658 11760409 23520818 35281227 70562454 105843681 211687362 317531043 635062086 952593129 1211322127 1905186258 2422644254 3633966381 7267932762 10901899143 21803798286 32705697429 65411394858 98117092287 124766179081 196234184574 249532358162 374298537243 748597074486 1122895611729 2245791223458 3368686835187 6737373670374 10106060505561 20212121011122