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222221021120001 = 321013311407152489
BaseRepresentation
bin110010100001101111011101…
…000001101000011000000001
31002010211010022001011122020200
4302201233131001220120001
5213111332122401320001
62104342532222155413
764543640030351601
oct6241573501503001
91063733261148220
10222221021120001
116489645114aa12
1220b0bb0a422b69
1396cc477224097
143cc37aa582c01
151aa572aa97086
hexca1bdd068601

222221021120001 has 48 divisors (see below), whose sum is σ = 325172647512960. Its totient is φ = 146224219680000.

The previous prime is 222221021119949. The next prime is 222221021120009. The reversal of 222221021120001 is 100021120122222.

It is a happy number.

222221021120001 is a `hidden beast` number, since 2 + 222 + 210 + 211 + 20 + 0 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-222221021120001 is a prime.

It is a super-3 number, since 3×2222210211200013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (222221021120009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233642165 + ... + 4233694653.

It is an arithmetic number, because the mean of its divisors is an integer number (6774430156520).

Almost surely, 2222221021120001 is an apocalyptic number.

It is an amenable number.

222221021120001 is a deficient number, since it is larger than the sum of its proper divisors (102951626392959).

222221021120001 is a wasteful number, since it uses less digits than its factorization.

222221021120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66998 (or 66995 counting only the distinct ones).

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

Adding to 222221021120001 its reverse (100021120122222), we get a palindrome (322242141242223).

The spelling of 222221021120001 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty thousand, one".

Divisors: 1 3 9 101 303 331 909 993 2979 14071 33431 42213 52489 100293 126639 157467 300879 472401 1421171 4263513 4657501 5301389 12790539 13972503 15904167 17373859 41917509 47712501 52121577 156364731 470407601 738572719 1411222803 1754759759 2215718157 4233668409 5264279277 6647154471 15792837831 74595844619 223787533857 244467569989 671362601571 733402709967 2200208129901 24691224568889 74073673706667 222221021120001