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221200111312 = 242310140914551
BaseRepresentation
bin1100111000000010001…
…1011101011011010000
3210010221211000220222021
43032000203131123100
512111004212030222
6245341250021224
721660354631465
oct3160043353320
9703854026867
10221200111312
11858a0772654
1236a53577814
1317b22529b3b
14a9c592566c
155b4974dac7
hex33808dd6d0

221200111312 has 80 divisors (see below), whose sum is σ = 452772092160. Its totient is φ = 104480640000.

The previous prime is 221200111277. The next prime is 221200111397. The reversal of 221200111312 is 213111002122.

It is a super-2 number, since 2×2212001113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15194437 + ... + 15208987.

It is an arithmetic number, because the mean of its divisors is an integer number (5659651152).

Almost surely, 2221200111312 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 221200111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226386046080).

221200111312 is an abundant number, since it is smaller than the sum of its proper divisors (231571980848).

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

221200111312 is a wasteful number, since it uses less digits than its factorization.

221200111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 221200111312 its reverse (213111002122), we get a palindrome (434311113434).

The spelling of 221200111312 in words is "two hundred twenty-one billion, two hundred million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 368 404 409 808 818 1616 1636 2323 3272 4646 6544 9292 9407 14551 18584 18814 29102 37168 37628 41309 58204 75256 82618 116408 150512 165236 232816 330472 334673 660944 669346 950107 1338692 1469651 1900214 2677384 2939302 3800428 5354768 5878604 5951359 7600856 11757208 11902718 15201712 23514416 23805436 33801973 47610872 67603946 95221744 135207892 136881257 270415784 273762514 540831568 547525028 601087259 1095050056 1202174518 2190100112 2404349036 4808698072 9617396144 13825006957 27650013914 55300027828 110600055656 221200111312