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202201222100121 = 3210122202411769
BaseRepresentation
bin101101111110011010100100…
…000001000011010010011001
3222111221020200211100201020100
4231332122210001003102121
5203000331100324200441
61554013543054250013
760406361531411646
oct5576324401032231
9874836624321210
10202201222100121
1159478069556232
121a817b501b6909
1388a96550a3b8a
1437d083c9d8dcd
151859ab7944cb6
hexb7e6a4043499

202201222100121 has 18 divisors (see below), whose sum is σ = 294988830062030. Its totient is φ = 133466153140800.

The previous prime is 202201222100039. The next prime is 202201222100131. The reversal of 202201222100121 is 121001222102202.

It is a happy number.

202201222100121 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 222 + 100 + 121 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 179209091610000 + 22992130490121 = 13386900^2 + 4795011^2 .

It is not a de Polignac number, because 202201222100121 - 29 = 202201222099609 is a prime.

It is a super-2 number, since 2×2022012221001212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202201222100094 and 202201222100103.

It is not an unprimeable number, because it can be changed into a prime (202201222100131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1101114076 + ... + 1101297693.

Almost surely, 2202201222100121 is an apocalyptic number.

It is an amenable number.

202201222100121 is a deficient number, since it is larger than the sum of its proper divisors (92787607961909).

202201222100121 is a wasteful number, since it uses less digits than its factorization.

202201222100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202411977 (or 2202411873 counting only the distinct ones).

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

Adding to 202201222100121 its reverse (121001222102202), we get a palindrome (323202444202323).

The spelling of 202201222100121 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 10201 30603 91809 2202411769 6607235307 19821705921 222443588669 667330766007 2001992298021 22466802455569 67400407366707 202201222100121