Search a number
-
+
202201221011220 = 223253136236777959
BaseRepresentation
bin101101111110011010100011…
…111100111001011100010100
3222111221020200202022101112200
4231332122203330321130110
5203000331100034324340
61554013543015044500
760406361516225214
oct5576324374713424
9874836622271480
10202201221011220
1159478068982112
121a817b4b970730
1388a9654ab2362
1437d083c7d4244
151859ab77cc330
hexb7e6a3f39714

202201221011220 has 72 divisors (see below), whose sum is σ = 633128984517120. Its totient is φ = 52180960259520.

The previous prime is 202201221011171. The next prime is 202201221011221. The reversal of 202201221011220 is 22110122102202.

It is a happy number.

202201221011220 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 2 + 210 + 11 + 220 = 666.

It is a super-4 number, since 4×2022012210112204 (a number of 58 digits) contains 4444 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 = 202201221011193 and 202201221011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201221011221) 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, 18118383400 + ... + 18118394559.

Almost surely, 2202201221011220 is an apocalyptic number.

202201221011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201221011220 is an abundant number, since it is smaller than the sum of its proper divisors (430927763505900).

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

202201221011220 is a wasteful number, since it uses less digits than its factorization.

202201221011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36236778005 (or 36236778000 counting only the distinct ones).

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

Adding to 202201221011220 its reverse (22110122102202), we get a palindrome (224311343113422).

The spelling of 202201221011220 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 36236777959 72473555918 108710333877 144947111836 181183889795 217420667754 326131001631 362367779590 434841335508 543551669385 652262003262 724735559180 1087103338770 1123340116729 1304524006524 1630655008155 2174206677540 2246680233458 3261310016310 3370020350187 4493360466916 5616700583645 6522620032620 6740040700374 10110061050561 11233401167290 13480081400748 16850101750935 20220122101122 22466802334580 33700203501870 40440244202244 50550305252805 67400407003740 101100610505610 202201221011220