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202022120121201 = 32371016006663697
BaseRepresentation
bin101101111011110011110000…
…101101001110001101110001
3222111022010101220101111022200
4231323303300231032031301
5202434412300222334301
61553355403013253413
760360421315616052
oct5573636055161561
9874263356344280
10202022120121201
1159409111114636
121a7a92a7334269
1388957b1512363
1437c5ccc1a2729
1518550d3ec6c86
hexb7bcf0b4e371

202022120121201 has 24 divisors (see below), whose sum is σ = 302663770414824. Its totient is φ = 129743935833600.

The previous prime is 202022120121197. The next prime is 202022120121203. The reversal of 202022120121201 is 102121021220202.

It is a happy number.

202022120121201 is a `hidden beast` number, since 2 + 0 + 20 + 221 + 201 + 21 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137401743978801 + 64620376142400 = 11721849^2 + 8038680^2 .

It is not a de Polignac number, because 202022120121201 - 22 = 202022120121197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202022120121203) 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, 3003298216 + ... + 3003365481.

It is an arithmetic number, because the mean of its divisors is an integer number (12610990433951).

Almost surely, 2202022120121201 is an apocalyptic number.

It is an amenable number.

202022120121201 is a deficient number, since it is larger than the sum of its proper divisors (100641650293623).

202022120121201 is a wasteful number, since it uses less digits than its factorization.

202022120121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006663841 (or 6006663838 counting only the distinct ones).

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

Adding to 202022120121201 its reverse (102121021220202), we get a palindrome (304143141341403).

The spelling of 202022120121201 in words is "two hundred two trillion, twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 37 101 111 303 333 909 3737 11211 33633 6006663697 18019991091 54059973273 222246556789 606673033397 666739670367 1820019100191 2000219011101 5460057300573 22446902235689 67340706707067 202022120121201