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201100342224 = 24333122515623
BaseRepresentation
bin1011101101001010000…
…0111011001111010000
3201020002000202212021010
42323102200323033100
511243323141422344
6232214554130520
720346311463555
oct2732240731720
9636060685233
10201100342224
117831699a641
1232b84120a40
1315c6b28c852
149a3a2aca2c
15536ed768b9
hex2ed283b3d0

201100342224 has 80 divisors (see below), whose sum is σ = 521402929664. Its totient is φ = 66789360000.

The previous prime is 201100342217. The next prime is 201100342231. The reversal of 201100342224 is 422243001102.

201100342224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201100342217) and next prime (201100342231).

It is a self number, because there is not a number n which added to its sum of digits gives 201100342224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35761077 + ... + 35766699.

Almost surely, 2201100342224 is an apocalyptic number.

201100342224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201100342224 is an abundant number, since it is smaller than the sum of its proper divisors (320302587440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201100342224 is a wasteful number, since it uses less digits than its factorization.

201100342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201100342224 its reverse (422243001102), we get a palindrome (623343343326).

The spelling of 201100342224 in words is "two hundred one billion, one hundred million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 331 662 993 1324 1986 2251 2648 3972 4502 5296 5623 6753 7944 9004 11246 13506 15888 16869 18008 22492 27012 33738 36016 44984 54024 67476 89968 108048 134952 269904 745081 1490162 1861213 2235243 2980324 3722426 4470486 5583639 5960648 7444852 8940972 11167278 11921296 12657373 14889704 17881944 22334556 25314746 29779408 35763888 37972119 44669112 50629492 75944238 89338224 101258984 151888476 202517968 303776952 607553904 4189590463 8379180926 12568771389 16758361852 25137542778 33516723704 50275085556 67033447408 100550171112 201100342224