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100012221221 = 1121294270559
BaseRepresentation
bin101110100100100110…
…0010110001100100101
3100120011000122020121112
41131021030112030211
53114311112034341
6113540040554405
710140252565613
oct1351114261445
9316130566545
10100012221221
1139462323090
1217471a82a05
13957b1cb333
144baa9226b3
152905350aeb
hex1749316325

100012221221 has 8 divisors (see below), whose sum is σ = 109155513600. Its totient is φ = 90877474240.

The previous prime is 100012221209. The next prime is 100012221251. The reversal of 100012221221 is 122122210001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100012221221 - 222 = 100008026917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012221196 and 100012221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012221251) 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 7 ways as a sum of consecutive naturals, for example, 2111861 + ... + 2158698.

It is an arithmetic number, because the mean of its divisors is an integer number (13644439200).

Almost surely, 2100012221221 is an apocalyptic number.

100012221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012221221 is a deficient number, since it is larger than the sum of its proper divisors (9143292379).

100012221221 is a wasteful number, since it uses less digits than its factorization.

100012221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272699.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100012221221 its reverse (122122210001), we get a palindrome (222134431222).

It can be divided in two parts, 1000 and 12221221, that added together give a palindrome (12222221).

The spelling of 100012221221 in words is "one hundred billion, twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 11 2129 23419 4270559 46976149 9092020111 100012221221