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1000222202112 = 2837953195229
BaseRepresentation
bin11101000111000011110…
…00111001100100000000
310112121202012112110110220
432203201320321210000
5112341423340431422
62043255025023040
7132156303303420
oct16434170714400
93477665473426
101000222202112
113562123a2701
12141a24484a80
1373422327693
14365a7b68480
151b041008e5c
hexe8e1e39900

1000222202112 has 144 divisors (see below), whose sum is σ = 3045550515840. Its totient is φ = 285476438016.

The previous prime is 1000222202099. The next prime is 1000222202173. The reversal of 1000222202112 is 2112022220001.

It is a junction number, because it is equal to n+sod(n) for n = 1000222202091 and 1000222202100.

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, 5025714 + ... + 5220942.

It is an arithmetic number, because the mean of its divisors is an integer number (21149656360).

Almost surely, 21000222202112 is an apocalyptic number.

1000222202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000222202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522775257920).

1000222202112 is an abundant number, since it is smaller than the sum of its proper divisors (2045328313728).

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

1000222202112 is an equidigital number, since it uses as much as digits as its factorization.

1000222202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196208 (or 196194 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1000222202112 its reverse (2112022220001), we get a palindrome (3112244422113).

The spelling of 1000222202112 in words is "one trillion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 953 1344 1792 1906 2688 2859 3812 5376 5718 6671 7624 11436 13342 15248 20013 22872 26684 30496 40026 45744 53368 60992 80052 91488 106736 121984 160104 182976 195229 213472 243968 320208 365952 390458 426944 585687 640416 731904 780916 853888 1171374 1280832 1366603 1561832 1707776 2342748 2561664 2733206 3123664 4099809 4685496 5123328 5466412 6247328 8199618 9370992 10932824 12494656 16399236 18741984 21865648 24989312 32798472 37483968 43731296 49978624 65596944 74967936 87462592 131193888 149935872 174925184 186053237 262387776 349850368 372106474 524775552 558159711 744212948 1049551104 1116319422 1302372659 1488425896 2232638844 2604745318 2976851792 3907117977 4465277688 5209490636 5953703584 7814235954 8930555376 10418981272 11907407168 15628471908 17861110752 20837962544 23814814336 31256943816 35722221504 41675925088 47629628672 62513887632 71444443008 83351850176 125027775264 142888886016 166703700352 250055550528 333407400704 500111101056 1000222202112