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4223334402100 = 22521121013455801
BaseRepresentation
bin111101011101010010010…
…110001100100000110100
3112221202011102202211110101
4331131102112030200310
51023143342101331400
612552101213203444
7614061110051002
oct75352226144064
915852142684411
104223334402100
111389119193500
12582616190584
1324834955b418
141085a64b9a72
1574cd2c9656a
hex3d75258c834

4223334402100 has 108 divisors (see below), whose sum is σ = 10173265955244. Its totient is φ = 1520552000000.

The previous prime is 4223334402043. The next prime is 4223334402107. The reversal of 4223334402100 is 12044333224.

It can be written as a sum of positive squares in 6 ways, for example, as 99819347364 + 4123515054736 = 315942^2 + 2030644^2 .

It is a super-2 number, since 2×42233344021002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223334402107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505801 + ... + 2950000.

It is an arithmetic number, because the mean of its divisors is an integer number (94196906993).

Almost surely, 24223334402100 is an apocalyptic number.

It is an amenable number.

4223334402100 is an abundant number, since it is smaller than the sum of its proper divisors (5949931553144).

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

4223334402100 is a wasteful number, since it uses less digits than its factorization.

4223334402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455938 (or 3455920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4223334402100 its reverse (12044333224), we get a palindrome (4235378735324).

The spelling of 4223334402100 in words is "four trillion, two hundred twenty-three billion, three hundred thirty-four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 404 484 505 550 605 1010 1100 1111 1210 2020 2222 2420 2525 3025 4444 5050 5555 6050 10100 11110 12100 12221 22220 24442 27775 48884 55550 61105 111100 122210 244420 305525 611050 1222100 3455801 6911602 13823204 17279005 34558010 38013811 69116020 76027622 86395025 152055244 172790050 190069055 345580100 349035901 380138110 418151921 698071802 760276220 836303842 950345275 1396143604 1672607684 1745179505 1900690550 2090759605 3490359010 3801381100 3839394911 4181519210 6980718020 7678789822 8363038420 8725897525 10453798025 15357579644 17451795050 19196974555 20907596050 34903590100 38393949110 41815192100 42233344021 76787898220 84466688042 95984872775 168933376084 191969745550 211166720105 383939491100 422333440210 844666880420 1055833600525 2111667201050 4223334402100