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1200101056 = 26711243527
BaseRepresentation
bin100011110001000…
…0001011011000000
310002122012110011021
41013202001123000
54424211213211
6315030155224
741511455620
oct10742013300
93078173137
101200101056
11566475760
12295ab2b14
1316182b48b
14b5558880
157055a771
hex478816c0

1200101056 has 56 divisors (see below), whose sum is σ = 2969093376. Its totient is φ = 467569920.

The previous prime is 1200101041. The next prime is 1200101083. The reversal of 1200101056 is 6501010021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×12001010562 = 2880485089224630272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116836 + ... + 126691.

Almost surely, 21200101056 is an apocalyptic number.

1200101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1200101056 is an abundant number, since it is smaller than the sum of its proper divisors (1768992320).

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

1200101056 is a wasteful number, since it uses less digits than its factorization.

1200101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243557 (or 243547 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1200101056 is about 34642.4747383902. The cubic root of 1200101056 is about 1062.6883983521.

Adding to 1200101056 its reverse (6501010021), we get a palindrome (7701111077).

The spelling of 1200101056 in words is "one billion, two hundred million, one hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 243527 487054 974108 1704689 1948216 2678797 3409378 3896432 5357594 6818756 7792864 10715188 13637512 15585728 18751579 21430376 27275024 37503158 42860752 54550048 75006316 85721504 109100096 150012632 171443008 300025264 600050528 1200101056