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10220004442104 = 233733918163277
BaseRepresentation
bin1001010010111000011110…
…1110111111111111111000
31100012000121200101212222220
42110232013232333333320
52314421032114121404
633423001043444040
72103241144266042
oct224560756777770
940160550355886
1010220004442104
1132903090886a6
121190856986620
13591985a49192
14274917d30a92
1512aca470e4d9
hex94b87bbfff8

10220004442104 has 64 divisors (see below), whose sum is σ = 25588058967840. Its totient is φ = 3401596270080.

The previous prime is 10220004442069. The next prime is 10220004442117. The reversal of 10220004442104 is 40124440002201.

It is a super-3 number, since 3×102200044421043 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161480514 + ... + 161543790.

Almost surely, 210220004442104 is an apocalyptic number.

It is an amenable number.

10220004442104 is an abundant number, since it is smaller than the sum of its proper divisors (15368054525736).

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

10220004442104 is a wasteful number, since it uses less digits than its factorization.

10220004442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73200 (or 73196 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10220004442104 its reverse (40124440002201), we get a palindrome (50344444444305).

The spelling of 10220004442104 in words is "ten trillion, two hundred twenty billion, four million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 733 1466 2199 2932 4398 5864 8796 9181 17592 18362 27543 36724 55086 63277 73448 110172 126554 189831 220344 253108 379662 506216 759324 1518648 6729673 13459346 20189019 26918692 40378038 46382041 53837384 80756076 92764082 139146123 161512152 185528164 278292246 371056328 556584492 580946137 1113168984 1161892274 1742838411 2323784548 3485676822 4647569096 6971353644 13942707288 425833518421 851667036842 1277500555263 1703334073684 2555001110526 3406668147368 5110002221052 10220004442104