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10044104220 = 22335171094129
BaseRepresentation
bin10010101101010110…
…01101111000011100
3221220222202100202000
421112223031320130
5131032242313340
64340400002300
7503621322453
oct112653157034
927828670660
1010044104220
1142946a9187
121b43900390
13c40b90147
146b3d63b9a
153dbbc0d30
hex256acde1c

10044104220 has 96 divisors (see below), whose sum is σ = 33086491200. Its totient is φ = 2520870912.

The previous prime is 10044104207. The next prime is 10044104227. The reversal of 10044104220 is 2240144001.

10044104220 is a `hidden beast` number, since 1 + 0 + 0 + 441 + 0 + 4 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10044104193 and 10044104202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044104227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537885 + ... + 556244.

It is an arithmetic number, because the mean of its divisors is an integer number (344650950).

Almost surely, 210044104220 is an apocalyptic number.

10044104220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044104220 is an abundant number, since it is smaller than the sum of its proper divisors (23042386980).

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

10044104220 is a wasteful number, since it uses less digits than its factorization.

10044104220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094164 (or 1094156 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10044104220 its reverse (2240144001), we get a palindrome (12284248221).

The spelling of 10044104220 in words is "ten billion, forty-four million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 1094129 2188258 3282387 4376516 5470645 6564774 9847161 10941290 13129548 16411935 18600193 19694322 21882580 29541483 32823870 37200386 39388644 49235805 55800579 59082966 65647740 74400772 93000965 98471610 111601158 118165932 147707415 167401737 186001930 196943220 223202316 279002895 295414830 334803474 372003860 502205211 558005790 590829660 669606948 837008685 1004410422 1116011580 1674017370 2008820844 2511026055 3348034740 5022052110 10044104220