Search a number
-
+
122021022221021 = 71137661182335543
BaseRepresentation
bin11011101111101000111011…
…101011110100001011011101
3121000001002120211122100210002
4123233220323223310023131
5111443143023142033041
61111303403405024045
734462504452466310
oct3357507353641335
9530032524570702
10122021022221021
1135974908a64880
12118285a9555025
1353116c1086181
14221bbc5898977
15e190a7ebe59b
hex6efa3baf42dd

122021022221021 has 64 divisors (see below), whose sum is σ = 156568342265856. Its totient is φ = 92318326214400.

The previous prime is 122021022221009. The next prime is 122021022221023. The reversal of 122021022221021 is 120122220120221.

It is not a de Polignac number, because 122021022221021 - 222 = 122021018026717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122021022220984 and 122021022221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021022221023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3433035776 + ... + 3433071318.

It is an arithmetic number, because the mean of its divisors is an integer number (2446380347904).

Almost surely, 2122021022221021 is an apocalyptic number.

122021022221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122021022221021 is a deficient number, since it is larger than the sum of its proper divisors (34547320044835).

122021022221021 is a wasteful number, since it uses less digits than its factorization.

122021022221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38082.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122021022221021 its reverse (120122220120221), we get a palindrome (242143242341242).

The spelling of 122021022221021 in words is "one hundred twenty-two trillion, twenty-one billion, twenty-two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 7 11 37 77 259 407 661 1823 2849 4627 7271 12761 20053 24457 35543 50897 67451 140371 171199 248801 269027 390973 472157 741961 1205003 1315091 1883189 2736811 5193727 8435021 9205637 13255033 14466001 23493923 44585111 64794889 92785231 101262007 164457461 258433153 312095777 453564223 490436221 712743779 869275151 1809032071 2397410893 3433053547 4989206453 6084926057 9562026661 16781876251 26371519823 42829421629 66934186627 184600638761 299805951403 471123637919 1584688600273 3297865465433 11092820201911 17431574603003 122021022221021