Search a number
-
+
100404422232 = 23371263224041
BaseRepresentation
bin101110110000010010…
…0011110011001011000
3100121011100122010020220
41131200210132121120
53121112013002412
6114043011120040
710153054336032
oct1354044363130
9317140563226
10100404422232
1139643751554
12175612a3020
13961153bb3a
144c06a56c52
1529299c368c
hex176091e658

100404422232 has 64 divisors (see below), whose sum is σ = 255515420160. Its totient is φ = 32871148800.

The previous prime is 100404422207. The next prime is 100404422257. The reversal of 100404422232 is 232224404001.

It is an interprime number because it is at equal distance from previous prime (100404422207) and next prime (100404422257).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 336132 + ... + 560172.

It is an arithmetic number, because the mean of its divisors is an integer number (3992428440).

Almost surely, 2100404422232 is an apocalyptic number.

100404422232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100404422232 is an abundant number, since it is smaller than the sum of its proper divisors (155110997928).

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

100404422232 is a wasteful number, since it uses less digits than its factorization.

100404422232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224384 (or 224380 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100404422232 its reverse (232224404001), we get a palindrome (332628826233).

The spelling of 100404422232 in words is "one hundred billion, four hundred four million, four hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 263 284 426 526 568 789 852 1052 1578 1704 2104 3156 6312 18673 37346 56019 74692 112038 149384 224041 224076 448082 448152 672123 896164 1344246 1792328 2688492 5376984 15906911 31813822 47720733 58922783 63627644 95441466 117845566 127255288 176768349 190882932 235691132 353536698 381765864 471382264 707073396 1414146792 4183517593 8367035186 12550552779 16734070372 25101105558 33468140744 50202211116 100404422232