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4022241334100 = 22521128113012751
BaseRepresentation
bin111010100010000000010…
…001000001001101010100
3112020112002220200112112222
4322202000101001031110
51011400022240142400
612315443035001512
7563411614141553
oct72420021011524
915215086615488
104022241334100
111310906412120
1254b654599298
132323ac947862
14dc96b181d9a
156e9638aa185
hex3a880441354

4022241334100 has 72 divisors (see below), whose sum is σ = 9555628150656. Its totient is φ = 1457428000000.

The previous prime is 4022241334057. The next prime is 4022241334103. The reversal of 4022241334100 is 14331422204.

It is a self number, because there is not a number n which added to its sum of digits gives 4022241334100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022241334103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6197276 + ... + 6815475.

It is an arithmetic number, because the mean of its divisors is an integer number (132717057648).

Almost surely, 24022241334100 is an apocalyptic number.

It is an amenable number.

4022241334100 is an abundant number, since it is smaller than the sum of its proper divisors (5533386816556).

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

4022241334100 is a wasteful number, since it uses less digits than its factorization.

4022241334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013057 (or 13013050 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4022241334100 its reverse (14331422204), we get a palindrome (4036572756304).

The spelling of 4022241334100 in words is "four trillion, twenty-two billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 281 550 562 1100 1124 1405 2810 3091 5620 6182 7025 12364 14050 15455 28100 30910 61820 77275 154550 309100 13012751 26025502 52051004 65063755 130127510 143140261 260255020 286280522 325318775 572561044 650637550 715701305 1301275100 1431402610 2862805220 3578506525 3656583031 7157013050 7313166062 14314026100 14626332124 18282915155 36565830310 40222413341 73131660620 80444826682 91414575775 160889653364 182829151550 201112066705 365658303100 402224133410 804448266820 1005560333525 2011120667050 4022241334100