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100421232 = 24319149739
BaseRepresentation
bin1011111110001…
…00111001110000
320222221221000220
411333010321300
5201201434412
613544213040
72326365162
oct577047160
9228857026
10100421232
1151759a5a
122976a180
1317a60462
14d4a0932
158c3968c
hex5fc4e70

100421232 has 80 divisors (see below), whose sum is σ = 275280000. Its totient is φ = 31456512.

The previous prime is 100421231. The next prime is 100421239. The reversal of 100421232 is 232124001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135519 + ... + 136257.

It is an arithmetic number, because the mean of its divisors is an integer number (3441000).

Almost surely, 2100421232 is an apocalyptic number.

100421232 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 100421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137640000).

100421232 is an abundant number, since it is smaller than the sum of its proper divisors (174858768).

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

100421232 is a wasteful number, since it uses less digits than its factorization.

100421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100421232 is about 10021.0394670413. The cubic root of 100421232 is about 464.8096989828.

Adding to 100421232 its reverse (232124001), we get a palindrome (332545233).

The spelling of 100421232 in words is "one hundred million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 149 152 228 298 304 447 456 596 739 894 912 1192 1478 1788 2217 2384 2831 2956 3576 4434 5662 5912 7152 8493 8868 11324 11824 14041 16986 17736 22648 28082 33972 35472 42123 45296 56164 67944 84246 110111 112328 135888 168492 220222 224656 330333 336984 440444 660666 673968 880888 1321332 1761776 2092109 2642664 4184218 5285328 6276327 8368436 12552654 16736872 25105308 33473744 50210616 100421232