Search a number
-
+
100421462232 = 233371347711531
BaseRepresentation
bin101110110000110010…
…1011110100011011000
3100121012112200211202000
41131201211132203120
53121130343242412
6114044420241000
710153352226240
oct1354145364330
9317175624660
10100421462232
113965232a9a3
1217566b40160
139614c26b90
144c09010b20
15292b23c4dc
hex176195e8d8

100421462232 has 512 divisors, whose sum is σ = 355796582400. Its totient is φ = 25539494400.

The previous prime is 100421462209. The next prime is 100421462353. The reversal of 100421462232 is 232264124001.

100421462232 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 1 + 4 + 622 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100421462196 and 100421462205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65591307 + ... + 65592837.

It is an arithmetic number, because the mean of its divisors is an integer number (694915200).

Almost surely, 2100421462232 is an apocalyptic number.

100421462232 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 100421462232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177898291200).

100421462232 is an abundant number, since it is smaller than the sum of its proper divisors (255375120168).

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

100421462232 is a wasteful number, since it uses less digits than its factorization.

100421462232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100421462232 its reverse (232264124001), we get a palindrome (332685586233).

The spelling of 100421462232 in words is "one hundred billion, four hundred twenty-one million, four hundred sixty-two thousand, two hundred thirty-two".