Search a number
-
+
100235421 = 33111321997
BaseRepresentation
bin1011111100101…
…11100010011101
320222121111011000
411332113202131
5201130013141
613540220513
72324662356
oct576274235
9228544130
10100235421
11516423a0
122969a739
13179c6a00
14d452d2d
158bee5b6
hex5f9789d

100235421 has 48 divisors (see below), whose sum is σ = 175504320. Its totient is φ = 56047680.

The previous prime is 100235371. The next prime is 100235423. The reversal of 100235421 is 124532001.

100235421 is a `hidden beast` number, since 10 + 0 + 235 + 421 = 666.

It is not a de Polignac number, because 100235421 - 27 = 100235293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100235394 and 100235403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100235423) 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 47 ways as a sum of consecutive naturals, for example, 49195 + ... + 51191.

It is an arithmetic number, because the mean of its divisors is an integer number (3656340).

Almost surely, 2100235421 is an apocalyptic number.

100235421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100235421 is a deficient number, since it is larger than the sum of its proper divisors (75268899).

100235421 is a wasteful number, since it uses less digits than its factorization.

100235421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100235421 is about 10011.7641302620. The cubic root of 100235421 is about 464.5228403950.

Adding to 100235421 its reverse (124532001), we get a palindrome (224767422).

The spelling of 100235421 in words is "one hundred million, two hundred thirty-five thousand, four hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 169 297 351 429 507 1287 1521 1859 1997 3861 4563 5577 5991 16731 17973 21967 25961 50193 53919 65901 77883 197703 233649 285571 337493 593109 700947 856713 1012479 2570139 3037437 3712423 7710417 9112311 11137269 33411807 100235421