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100012022011 = 1143826325589
BaseRepresentation
bin101110100100100101…
…1100101100011111011
3100120011000021010100101
41131021023211203323
53114311034201021
6113540032420231
710140251106046
oct1351113454373
9316130233311
10100012022011
11394621a7450
12174719a7677
13957b15b765
144baa8adc5d
152905311a91
hex17492e58fb

100012022011 has 16 divisors (see below), whose sum is σ = 111659201280. Its totient is φ = 88791383520.

The previous prime is 100012021997. The next prime is 100012022039. The reversal of 100012022011 is 110220210001.

It is a cyclic number.

It is not a de Polignac number, because 100012022011 - 27 = 100012021883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012022111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3895605 + ... + 3921193.

It is an arithmetic number, because the mean of its divisors is an integer number (6978700080).

Almost surely, 2100012022011 is an apocalyptic number.

100012022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100012022011 is a deficient number, since it is larger than the sum of its proper divisors (11647179269).

100012022011 is a wasteful number, since it uses less digits than its factorization.

100012022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33906.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012022011 its reverse (110220210001), we get a palindrome (210232232012).

The spelling of 100012022011 in words is "one hundred billion, twelve million, twenty-two thousand, eleven".

Divisors: 1 11 43 473 8263 25589 90893 281479 355309 1100327 3908399 12103597 211441907 2325860977 9092002001 100012022011