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1002201200112 = 243716691787143
BaseRepresentation
bin11101001010101111101…
…10001011010111110000
310112210212010100222101010
432211113312023113300
5112410002001400422
62044223241510520
7132256323434040
oct16452766132760
93483763328333
101002201200112
113570384a5142
121422971a2440
137367932a508
1436714917720
151b109b1db0c
hexe957d8b5f0

1002201200112 has 80 divisors (see below), whose sum is σ = 2960654236160. Its totient is φ = 286171474176.

The previous prime is 1002201200087. The next prime is 1002201200167. The reversal of 1002201200112 is 2110021022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332788 + ... + 1454355.

It is an arithmetic number, because the mean of its divisors is an integer number (37008177952).

Almost surely, 21002201200112 is an apocalyptic number.

1002201200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002201200112 is an abundant number, since it is smaller than the sum of its proper divisors (1958453036048).

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

1002201200112 is a wasteful number, since it uses less digits than its factorization.

1002201200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788830 (or 1788824 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002201200112 its reverse (2110021022001), we get a palindrome (3112222222113).

The spelling of 1002201200112 in words is "one trillion, two billion, two hundred one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1669 3338 5007 6676 10014 11683 13352 20028 23366 26704 35049 40056 46732 70098 80112 93464 140196 186928 280392 560784 1787143 3574286 5361429 7148572 10722858 12510001 14297144 21445716 25020002 28594288 37530003 42891432 50040004 75060006 85782864 100080008 150120012 200160016 300240024 600480048 2982741667 5965483334 8948225001 11930966668 17896450002 20879191669 23861933336 35792900004 41758383338 47723866672 62637575007 71585800008 83516766676 125275150014 143171600016 167033533352 250550300028 334067066704 501100600056 1002201200112