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221201012032002 = 232111863109857103
BaseRepresentation
bin110010010010111001011111…
…101111110000001000000010
31002000012121110212010020010100
4302102321133233300020002
5212443124133040011002
62102242201515343230
764410150200225202
oct6222713757601002
91060177425106110
10221201012032002
1164532905659062
12209862a3451b16
13965722071b202
143c8a28696a402
151a88e2c8bc11c
hexc92e5fbf0202

221201012032002 has 24 divisors (see below), whose sum is σ = 479273148192384. Its totient is φ = 73733010863544.

The previous prime is 221201012031911. The next prime is 221201012032003. The reversal of 221201012032002 is 200230210102122.

221201012032002 is a `hidden beast` number, since 2 + 21 + 201 + 0 + 120 + 320 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221201012032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52915018 + ... + 56942085.

It is an arithmetic number, because the mean of its divisors is an integer number (19969714508016).

Almost surely, 2221201012032002 is an apocalyptic number.

221201012032002 is an abundant number, since it is smaller than the sum of its proper divisors (258072136160382).

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

221201012032002 is a wasteful number, since it uses less digits than its factorization.

221201012032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109968974 (or 109968971 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221201012032002 its reverse (200230210102122), we get a palindrome (421431222134124).

The spelling of 221201012032002 in words is "two hundred twenty-one trillion, two hundred one billion, twelve million, thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 111863 223726 335589 671178 1006767 2013534 109857103 219714206 329571309 659142618 988713927 1977427854 12288945112889 24577890225778 36866835338667 73733670677334 110600506016001 221201012032002