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100012221001 = 7112711663073
BaseRepresentation
bin101110100100100110…
…0010110001001001001
3100120011000122020022101
41131021030112021021
53114311112033001
6113540040553401
710140252565150
oct1351114261111
9316130566271
10100012221001
1139462322a00
1217471a82861
13957b1cb1c4
144baa922597
152905350a01
hex1749316249

100012221001 has 24 divisors (see below), whose sum is σ = 127404772992. Its totient is φ = 76833926400.

The previous prime is 100012220993. The next prime is 100012221007. The reversal of 100012221001 is 100122210001.

It is not a de Polignac number, because 100012221001 - 23 = 100012220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012221007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771400 + ... + 891673.

It is an arithmetic number, because the mean of its divisors is an integer number (5308532208).

Almost surely, 2100012221001 is an apocalyptic number.

100012221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012221001 is a deficient number, since it is larger than the sum of its proper divisors (27392551991).

100012221001 is a wasteful number, since it uses less digits than its factorization.

100012221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663173 (or 1663162 counting only the distinct ones).

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

Adding to 100012221001 its reverse (100122210001), we get a palindrome (200134431002).

The spelling of 100012221001 in words is "one hundred billion, twelve million, two hundred twenty-one thousand, one".

Divisors: 1 7 11 71 77 121 497 781 847 5467 8591 60137 1663073 11641511 18293803 118078183 128056621 201231833 826547281 1298860013 1408622831 9092020091 14287460143 100012221001