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100424412 = 223211367691
BaseRepresentation
bin1011111110001…
…01101011011100
320222222002101200
411333011223130
5201202040122
613544235500
72326410354
oct577055334
9228862350
10100424412
1151761390
122976bb90
1317a61a3a
14d4a1b64
158c3a5ac
hex5fc5adc

100424412 has 72 divisors (see below), whose sum is σ = 278084352. Its totient is φ = 30304800.

The previous prime is 100424399. The next prime is 100424437. The reversal of 100424412 is 214424001.

It is a super-3 number, since 3×1004244123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 144987 + ... + 145677.

Almost surely, 2100424412 is an apocalyptic number.

100424412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100424412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139042176).

100424412 is an abundant number, since it is smaller than the sum of its proper divisors (177659940).

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

100424412 is a wasteful number, since it uses less digits than its factorization.

100424412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100424412 is about 10021.1981319601. The cubic root of 100424412 is about 464.8146052469.

Adding to 100424412 its reverse (214424001), we get a palindrome (314848413).

The spelling of 100424412 in words is "one hundred million, four hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 367 396 691 734 1101 1382 1468 2073 2202 2764 3303 4037 4146 4404 6219 6606 7601 8074 8292 12111 12438 13212 15202 16148 22803 24222 24876 30404 36333 45606 48444 68409 72666 91212 136818 145332 253597 273636 507194 760791 1014388 1521582 2282373 2789567 3043164 4564746 5579134 8368701 9129492 11158268 16737402 25106103 33474804 50212206 100424412