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100400227 = 3143109691
BaseRepresentation
bin1011111101111…
…11110001100011
320222220212012221
411332333301203
5201200301402
613543531511
72326250014
oct576776143
9228825187
10100400227
11517451a4
1229759b97
1317a53a25
14d49700b
158c33337
hex5fbfc63

100400227 has 16 divisors (see below), whose sum is σ = 107176960. Its totient is φ = 93895200.

The previous prime is 100400207. The next prime is 100400257. The reversal of 100400227 is 722004001.

It is a cyclic number.

It is not a de Polignac number, because 100400227 - 215 = 100367459 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100400227.

It is not an unprimeable number, because it can be changed into a prime (100400207) 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 15 ways as a sum of consecutive naturals, for example, 144952 + ... + 145642.

It is an arithmetic number, because the mean of its divisors is an integer number (6698560).

Almost surely, 2100400227 is an apocalyptic number.

100400227 is a deficient number, since it is larger than the sum of its proper divisors (6776733).

100400227 is a wasteful number, since it uses less digits than its factorization.

100400227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 100400227 is about 10019.9913672618. The cubic root of 100400227 is about 464.7772888097. Note that the first 3 decimals are identical.

Adding to 100400227 its reverse (722004001), we get a palindrome (822404228).

The spelling of 100400227 in words is "one hundred million, four hundred thousand, two hundred twenty-seven".

Divisors: 1 31 43 109 691 1333 3379 4687 21421 29713 75319 145297 921103 2334889 3238717 100400227