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100012211001 = 3319474147991
BaseRepresentation
bin101110100100100110…
…0010011101100111001
3100120011000121201121000
41131021030103230321
53114311111223001
6113540040435213
710140252524043
oct1351114235471
9316130551530
10100012211001
113946231643a
1217471a78b09
13957b1c67a1
144baa91ca93
15290534ca86
hex1749313b39

100012211001 has 32 divisors (see below), whose sum is σ = 159282892800. Its totient is φ = 61821642960.

The previous prime is 100012210993. The next prime is 100012211017. The reversal of 100012211001 is 100112210001.

It is a happy number.

It is not a de Polignac number, because 100012211001 - 23 = 100012210993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100012211041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2049885 + ... + 2098106.

It is an arithmetic number, because the mean of its divisors is an integer number (4977590400).

Almost surely, 2100012211001 is an apocalyptic number.

It is an amenable number.

100012211001 is a deficient number, since it is larger than the sum of its proper divisors (59270681799).

100012211001 is a wasteful number, since it uses less digits than its factorization.

100012211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148066 (or 4148060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100012211001 its reverse (100112210001), we get a palindrome (200124421002).

The spelling of 100012211001 in words is "one hundred billion, twelve million, two hundred eleven thousand, one".

Divisors: 1 3 9 19 27 47 57 141 171 423 513 893 1269 2679 8037 24111 4147991 12443973 37331919 78811829 111995757 194955577 236435487 584866731 709306461 1754600193 2127919383 3704155963 5263800579 11112467889 33337403667 100012211001