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100442430 = 23451111273
BaseRepresentation
bin1011111110010…
…10000100111110
321000000000010000
411333022010332
5201203124210
613544455130
72326514034
oct577120476
9230000100
10100442430
1151773980
122977a4a6
1317a69cba
14d4a8554
158c40ac0
hex5fca13e

100442430 has 80 divisors (see below), whose sum is σ = 294657264. Its totient is φ = 24347520.

The previous prime is 100442413. The next prime is 100442437. The reversal of 100442430 is 34244001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3274 + ... + 14546.

Almost surely, 2100442430 is an apocalyptic number.

100442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147328632).

100442430 is an abundant number, since it is smaller than the sum of its proper divisors (194214834).

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

100442430 is a wasteful number, since it uses less digits than its factorization.

100442430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100442430 is about 10022.0970859396. The cubic root of 100442430 is about 464.8424023683.

Adding to 100442430 its reverse (34244001), we get a palindrome (134686431).

It can be divided in two parts, 1004 and 42430, that added together give a palindrome (43434).

The spelling of 100442430 in words is "one hundred million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 11273 22546 33819 56365 67638 101457 112730 124003 169095 202914 248006 304371 338190 372009 507285 608742 620015 744018 913113 1014570 1116027 1240030 1521855 1826226 1860045 2232054 3043710 3348081 3720090 4565565 5580135 6696162 9131130 10044243 11160270 16740405 20088486 33480810 50221215 100442430