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10004402422120 = 2352333107205341
BaseRepresentation
bin1001000110010101010011…
…0110100100000101101000
31022102102010000011110122111
42101211110312210011220
52302403004010001440
633135543052132104
72051536263331231
oct221452466440550
938372100143574
1010004402422120
113207930397a07
121156b06167034
13577546258b22
14268303ab8088
151253866a94ea
hex91954da4168

10004402422120 has 32 divisors (see below), whose sum is σ = 22519554140520. Its totient is φ = 4000045646080.

The previous prime is 10004402422111. The next prime is 10004402422121. The reversal of 10004402422120 is 2122420440001.

It can be written as a sum of positive squares in 4 ways, for example, as 9776115315684 + 228287106436 = 3126678^2 + 477794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10004402422091 and 10004402422100.

It is not an unprimeable number, because it can be changed into a prime (10004402422121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53509351 + ... + 53695990.

Almost surely, 210004402422120 is an apocalyptic number.

10004402422120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004402422120 is an abundant number, since it is smaller than the sum of its proper divisors (12515151718400).

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

10004402422120 is a wasteful number, since it uses less digits than its factorization.

10004402422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107207685 (or 107207681 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10004402422120 its reverse (2122420440001), we get a palindrome (12126822862121).

The spelling of 10004402422120 in words is "ten trillion, four billion, four hundred two million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2333 4666 9332 11665 18664 23330 46660 93320 107205341 214410682 428821364 536026705 857642728 1072053410 2144106820 4288213640 250110060553 500220121106 1000440242212 1250550302765 2000880484424 2501100605530 5002201211060 10004402422120