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2221040101300 = 2252292812725537
BaseRepresentation
bin100000010100100000010…
…011100110011110110100
321212022220002210102110121
4200110200103212132310
5242342142231220200
64420155353301324
7316315305236206
oct40244023463664
97768802712417
102221040101300
11786a35264559
122ba551a04844
1313159b899017
14796db042776
153cb93670e1a
hex205204e67b4

2221040101300 has 72 divisors (see below), whose sum is σ = 5003597171160. Its totient is φ = 854728089600.

The previous prime is 2221040101201. The next prime is 2221040101309. The reversal of 2221040101300 is 31010401222.

It can be written as a sum of positive squares in 12 ways, for example, as 38175688996 + 2182864412304 = 195386^2 + 1477452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221040101309) 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, 547869 + ... + 2177668.

It is an arithmetic number, because the mean of its divisors is an integer number (69494405155).

Almost surely, 22221040101300 is an apocalyptic number.

2221040101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221040101300 is an abundant number, since it is smaller than the sum of its proper divisors (2782557069860).

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

2221040101300 is a wasteful number, since it uses less digits than its factorization.

2221040101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725861 (or 2725854 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2221040101300 its reverse (31010401222), we get a palindrome (2252050502522).

The spelling of 2221040101300 in words is "two trillion, two hundred twenty-one billion, forty million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 281 290 562 580 725 1124 1405 1450 2810 2900 5620 7025 8149 14050 16298 28100 32596 40745 81490 162980 203725 407450 814900 2725537 5451074 10902148 13627685 27255370 54510740 68138425 79040573 136276850 158081146 272553700 316162292 395202865 765875897 790405730 1531751794 1580811460 1976014325 3063503588 3829379485 3952028650 7658758970 7904057300 15317517940 19146897425 22210401013 38293794850 44420802026 76587589700 88841604052 111052005065 222104010130 444208020260 555260025325 1110520050650 2221040101300