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202201221020121 = 32163191743971251
BaseRepresentation
bin101101111110011010100011…
…111100111011100111011001
3222111221020200202022211202100
4231332122203330323213121
5203000331100040120441
61554013543015154013
760406361516263161
oct5576324374734731
9874836622284670
10202201221020121
1159478068988874
121a817b4b975909
1388a9654ab641b
1437d083c7d75a1
151859ab77cecb6
hexb7e6a3f3b9d9

202201221020121 has 48 divisors (see below), whose sum is σ = 295796676943872. Its totient is φ = 133092873900000.

The previous prime is 202201221020119. The next prime is 202201221020137. The reversal of 202201221020121 is 121020122102202.

It is a happy number.

202201221020121 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 221 + 0 + 201 + 21 = 666.

It is not a de Polignac number, because 202201221020121 - 21 = 202201221020119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202201221020094 and 202201221020103.

It is not an unprimeable number, because it can be changed into a prime (202201221020521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207700746 + ... + 208671996.

It is an arithmetic number, because the mean of its divisors is an integer number (6162430769664).

Almost surely, 2202201221020121 is an apocalyptic number.

It is an amenable number.

202201221020121 is a deficient number, since it is larger than the sum of its proper divisors (93595455923751).

202201221020121 is a wasteful number, since it uses less digits than its factorization.

202201221020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972354 (or 972351 counting only the distinct ones).

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

Adding to 202201221020121 its reverse (121020122102202), we get a palindrome (323221343122323).

The spelling of 202201221020121 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 163 191 489 573 743 1467 1719 2229 6687 31133 93399 121109 141913 280197 363327 425739 971251 1089981 1277217 2913753 8741259 23131819 69395457 158313913 185508941 208186371 474941739 556526823 721639493 1424825217 1669580469 2164918479 6494755437 30237957383 90713872149 117627237359 137833143163 272141616447 352881712077 413499429489 1058645136231 1240498288467 22466802335569 67400407006707 202201221020121