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221141411300 = 22523759767949
BaseRepresentation
bin1100110111110100001…
…1100010010111100100
3210010210201120122200202
43031331003202113210
512110344200130200
6245331351530032
721656042660435
oct3157503422744
9703721518622
10221141411300
118587061a447
1236a37989918
1317b133167c4
14a9bbc0548c
155b445061d5
hex337d0e25e4

221141411300 has 36 divisors (see below), whose sum is σ = 492846515700. Its totient is φ = 86065845120.

The previous prime is 221141411291. The next prime is 221141411329. The reversal of 221141411300 is 3114141122.

It can be written as a sum of positive squares in 6 ways, for example, as 9712496704 + 211428914596 = 98552^2 + 459814^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29880275 + ... + 29887674.

Almost surely, 2221141411300 is an apocalyptic number.

221141411300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221141411300 is an abundant number, since it is smaller than the sum of its proper divisors (271705104400).

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

221141411300 is a wasteful number, since it uses less digits than its factorization.

221141411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59768000 (or 59767993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 221141411300 its reverse (3114141122), we get a palindrome (224255552422).

The spelling of 221141411300 in words is "two hundred twenty-one billion, one hundred forty-one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 59767949 119535898 239071796 298839745 597679490 1195358980 1494198725 2211414113 2988397450 4422828226 5976794900 8845656452 11057070565 22114141130 44228282260 55285352825 110570705650 221141411300