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221020220121201 = 331011072267334127
BaseRepresentation
bin110010010000010001000111…
…101101010110000001110001
31001222120022211011020120111000
4302100101013231112001301
5212432143402322334301
62102023142025312213
764361120044312224
oct6220210755260161
91058508734216430
10221020220121201
1164473170300646
1220957248635669
13964316a9c69b7
143c8161590d5bb
151a8439a8d8786
hexc90447b56071

221020220121201 has 64 divisors (see below), whose sum is σ = 333918007234560. Its totient is φ = 144460311652800.

The previous prime is 221020220121191. The next prime is 221020220121229. The reversal of 221020220121201 is 102121022020122.

It is a happy number.

221020220121201 is a `hidden beast` number, since 2 + 210 + 20 + 220 + 1 + 212 + 0 + 1 = 666.

It is not a de Polignac number, because 221020220121201 - 221 = 221020218024049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221020220121901) 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, 661318600 + ... + 661652726.

It is an arithmetic number, because the mean of its divisors is an integer number (5217468863040).

Almost surely, 2221020220121201 is an apocalyptic number.

It is an amenable number.

221020220121201 is a deficient number, since it is larger than the sum of its proper divisors (112897787113359).

221020220121201 is a wasteful number, since it uses less digits than its factorization.

221020220121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336611 (or 336605 counting only the distinct ones).

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

Adding to 221020220121201 its reverse (102121022020122), we get a palindrome (323141242141323).

The spelling of 221020220121201 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 101 107 303 321 909 963 2267 2727 2889 6801 10807 20403 32421 61209 97263 228967 242569 291789 334127 686901 727707 1002381 2060703 2183121 3007143 6182109 6549363 9021429 24499469 33746827 35751589 73498407 101240481 107254767 220495221 303721443 321764301 661485663 757465909 911164329 965292903 2272397727 3610910489 6817193181 10832731467 20451579543 32498194401 76504056809 81048852263 97494583203 229512170427 243146556789 688536511281 729439670367 2065609533843 2188319011101 8185934078563 24557802235689 73673406707067 221020220121201