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1112001000100 = 225217536343417
BaseRepresentation
bin10000001011101000011…
…011001011001010100100
310221022021021001201221221
4100023220123023022210
5121204334224000400
62210502440350124
7143224264355014
oct20135033131244
93838237051857
101112001000100
11399662635aa1
1215b61aa75344
1380b27200073
143bb6d2a5c44
151ddd436cc1a
hex102e86cb2a4

1112001000100 has 36 divisors (see below), whose sum is σ = 2414419072324. Its totient is φ = 444546593280.

The previous prime is 1112001000083. The next prime is 1112001000101. The reversal of 1112001000100 is 10001002111.

It can be written as a sum of positive squares in 6 ways, for example, as 518201299044 + 593799701056 = 719862^2 + 770584^2 .

It is not an unprimeable number, because it can be changed into a prime (1112001000101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2996409 + ... + 3347008.

Almost surely, 21112001000100 is an apocalyptic number.

1112001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112001000100 is an abundant number, since it is smaller than the sum of its proper divisors (1302418072224).

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

1112001000100 is a wasteful number, since it uses less digits than its factorization.

1112001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345184 (or 6345177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1112001000100 its reverse (10001002111), we get a palindrome (1122002002211).

The spelling of 1112001000100 in words is "one trillion, one hundred twelve billion, one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1753 3506 7012 8765 17530 35060 43825 87650 175300 6343417 12686834 25373668 31717085 63434170 126868340 158585425 317170850 634341700 11120010001 22240020002 44480040004 55600050005 111200100010 222400200020 278000250025 556000500050 1112001000100