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1100100012212 = 225332801158201
BaseRepresentation
bin10000000000100011000…
…100100000100010110100
310220011112212020220200202
4100000203010200202310
5121011001100342322
62201213505100032
7142323334550225
oct20004304404264
93804485226622
101100100012212
11394605860713
12159259327618
137c97b7244b6
143b36089d24c
151d939659292
hex100231208b4

1100100012212 has 24 divisors (see below), whose sum is σ = 1961571277512. Its totient is φ = 539651840000.

The previous prime is 1100100012211. The next prime is 1100100012247. The reversal of 1100100012212 is 2122100010011.

It can be written as a sum of positive squares in 4 ways, for example, as 26275876 + 1100073736336 = 5126^2 + 1048844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100100012193 and 1100100012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100012211) by changing a digit.

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, 6874712 + ... + 7032912.

It is an arithmetic number, because the mean of its divisors is an integer number (81732136563).

Almost surely, 21100100012212 is an apocalyptic number.

It is an amenable number.

1100100012212 is a deficient number, since it is larger than the sum of its proper divisors (861471265300).

1100100012212 is a wasteful number, since it uses less digits than its factorization.

1100100012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191059 (or 191057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100100012212 its reverse (2122100010011), we get a palindrome (3222200022223).

The spelling of 1100100012212 in words is "one trillion, one hundred billion, one hundred million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 53 106 212 32801 65602 131204 158201 316402 632804 1738453 3476906 6953812 8384653 16769306 33538612 5189151001 10378302002 20756604004 275025003053 550050006106 1100100012212