Search a number
-
+
221201202021012 = 223213944204876503
BaseRepresentation
bin110010010010111001101011…
…000100100000001010010100
31002000012121222002121200001100
4302102321223010200022110
5212443130030204133022
62102242232423430100
764410154665136053
oct6222715304401224
91060177862550040
10221201202021012
11645329a2923674
1220986336bb5330
139657250bab945
143c8a2a3ca439a
151a88e3e3ea1ac
hexc92e6b120294

221201202021012 has 36 divisors (see below), whose sum is σ = 563170126660960. Its totient is φ = 73203275487312.

The previous prime is 221201202021001. The next prime is 221201202021061. The reversal of 221201202021012 is 210120202102122.

It is a happy number.

221201202021012 is a `hidden beast` number, since 221 + 20 + 1 + 202 + 0 + 210 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22102433248 + ... + 22102443255.

Almost surely, 2221201202021012 is an apocalyptic number.

It is an amenable number.

221201202021012 is an abundant number, since it is smaller than the sum of its proper divisors (341968924639948).

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

221201202021012 is a wasteful number, since it uses less digits than its factorization.

221201202021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44204876652 (or 44204876647 counting only the distinct ones).

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

Adding to 221201202021012 its reverse (210120202102122), we get a palindrome (431321404123134).

The spelling of 221201202021012 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 44204876503 88409753006 132614629509 176819506012 265229259018 397843888527 530458518036 795687777054 1591375554108 6144477833917 12288955667834 18433433501751 24577911335668 36866867003502 55300300505253 73733734007004 110600601010506 221201202021012