Search a number
-
+
221301111300 = 223523559207269
BaseRepresentation
bin1100111000011010010…
…0101111101000000100
3210011012212002020220120
43032012210233220010
512111211041030200
6245355254501540
721663022260213
oct3160644575004
9704185066816
10221301111300
1185942787415
1236a813648b0
1317b3a430849
14a9d50d707a
155b5354e9a0
hex338692fa04

221301111300 has 72 divisors (see below), whose sum is σ = 640480881600. Its totient is φ = 58996763520.

The previous prime is 221301111277. The next prime is 221301111307. The reversal of 221301111300 is 3111103122.

It is a happy number.

It is a super-2 number, since 2×2213011113002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221301111300.

It is not an unprimeable number, because it can be changed into a prime (221301111307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 964066 + ... + 1171334.

It is an arithmetic number, because the mean of its divisors is an integer number (8895567800).

Almost surely, 2221301111300 is an apocalyptic number.

221301111300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221301111300 is an abundant number, since it is smaller than the sum of its proper divisors (419179770300).

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

221301111300 is a wasteful number, since it uses less digits than its factorization.

221301111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210845 (or 210838 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 221301111300 its reverse (3111103122), we get a palindrome (224412214422).

The spelling of 221301111300 in words is "two hundred twenty-one billion, three hundred one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3559 7118 10677 14236 17795 21354 35590 42708 53385 71180 88975 106770 177950 207269 213540 266925 355900 414538 533850 621807 829076 1036345 1067700 1243614 2072690 2487228 3109035 4145380 5181725 6218070 10363450 12436140 15545175 20726900 31090350 62180700 737670371 1475340742 2213011113 2950681484 3688351855 4426022226 7376703710 8852044452 11065055565 14753407420 18441759275 22130111130 36883518550 44260222260 55325277825 73767037100 110650555650 221301111300