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221314013112 = 23359587266261
BaseRepresentation
bin1100111000011101010…
…1111101011110111000
3210011020202100201212110
43032013111331132320
512111222341404422
6245400435212320
721663240033633
oct3160725753670
9704222321773
10221314013112
1185949a99775
1236a857470a0
1317b3ccca15a
14a9d6ad4c1a
155b5474c60c
hex338757d7b8

221314013112 has 64 divisors (see below), whose sum is σ = 563623401600. Its totient is φ = 72397159040.

The previous prime is 221314013101. The next prime is 221314013113. The reversal of 221314013112 is 211310413122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221314013113) 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 15 ways as a sum of consecutive naturals, for example, 698062 + ... + 964322.

It is an arithmetic number, because the mean of its divisors is an integer number (8806615650).

Almost surely, 2221314013112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221314013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281811700800).

221314013112 is an abundant number, since it is smaller than the sum of its proper divisors (342309388488).

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

221314013112 is a wasteful number, since it uses less digits than its factorization.

221314013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266916 (or 266912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221314013112 its reverse (211310413122), we get a palindrome (432624426234).

The spelling of 221314013112 in words is "two hundred twenty-one billion, three hundred fourteen million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 587 708 1174 1416 1761 2348 3522 4696 7044 14088 34633 69266 103899 138532 207798 266261 277064 415596 532522 798783 831192 1065044 1597566 2130088 3195132 6390264 15709399 31418798 47128197 62837596 94256394 125675192 156295207 188512788 312590414 377025576 468885621 625180828 937771242 1250361656 1875542484 3751084968 9221417213 18442834426 27664251639 36885668852 55328503278 73771337704 110657006556 221314013112