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100121424 = 24313281571
BaseRepresentation
bin1011111011110…
…11101101010000
320222101200202220
411331323231100
5201112341144
613533541040
72324006124
oct575735520
9228350686
10100121424
1151574787
1229644780
1317986b60
14d423584
158bca919
hex5f7bb50

100121424 has 80 divisors (see below), whose sum is σ = 280023744. Its totient is φ = 30643200.

The previous prime is 100121423. The next prime is 100121429. The reversal of 100121424 is 424121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121423) 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 15 ways as a sum of consecutive naturals, for example, 175059 + ... + 175629.

Almost surely, 2100121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140011872).

100121424 is an abundant number, since it is smaller than the sum of its proper divisors (179902320).

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

100121424 is a wasteful number, since it uses less digits than its factorization.

100121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100121424 is about 10006.0693581446. The cubic root of 100121424 is about 464.3466741349.

Adding to 100121424 its reverse (424121001), we get a palindrome (524242425).

The spelling of 100121424 in words is "one hundred million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 281 312 562 571 624 843 1124 1142 1686 1713 2248 2284 3372 3426 3653 4496 4568 6744 6852 7306 7423 9136 10959 13488 13704 14612 14846 21918 22269 27408 29224 29692 43836 44538 58448 59384 87672 89076 118768 160451 175344 178152 320902 356304 481353 641804 962706 1283608 1925412 2085863 2567216 3850824 4171726 6257589 7701648 8343452 12515178 16686904 25030356 33373808 50060712 100121424