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10222044113000 = 235327133767801
BaseRepresentation
bin1001010011000000000101…
…0011101110100001101000
31100012012212211101220110102
42110300001103232201220
52314434221243104000
633423535305004532
72103342532225316
oct224600123564150
940165784356412
1010222044113000
113291165460625
121191125a83748
13591c1c4a3335
14274a6cb950b6
1512ad7380b3d5
hex94c014ee868

10222044113000 has 64 divisors (see below), whose sum is σ = 23928406229520. Its totient is φ = 4087309440000.

The previous prime is 10222044112877. The next prime is 10222044113051. The reversal of 10222044113000 is 31144022201.

It can be written as a sum of positive squares in 8 ways, for example, as 926240707396 + 9295803405604 = 962414^2 + 3048902^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829100 + ... + 4596900.

Almost surely, 210222044113000 is an apocalyptic number.

10222044113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222044113000 is an abundant number, since it is smaller than the sum of its proper divisors (13706362116520).

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

10222044113000 is a wasteful number, since it uses less digits than its factorization.

10222044113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770535 (or 3770521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10222044113000 its reverse (31144022201), we get a palindrome (10253188135201).

The spelling of 10222044113000 in words is "ten trillion, two hundred twenty-two billion, forty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2713 5426 10852 13565 21704 27130 54260 67825 108520 135650 271300 339125 542600 678250 1356500 2713000 3767801 7535602 15071204 18839005 30142408 37678010 75356020 94195025 150712040 188390050 376780100 470975125 753560200 941950250 1883900500 3767801000 10222044113 20444088226 40888176452 51110220565 81776352904 102220441130 204440882260 255551102825 408881764520 511102205650 1022204411300 1277755514125 2044408822600 2555511028250 5111022056500 10222044113000