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100422354336 = 25310137327767
BaseRepresentation
bin101110110000110100…
…0111000010110100000
3100121012121101011110220
41131201220320112200
53121131110314321
6114044451323040
710153362633153
oct1354150702640
9317177334426
10100422354336
113965288a177
12175672b0480
139615179c55
144c091a3c9a
15292b3669c6
hex1761a385a0

100422354336 has 96 divisors (see below), whose sum is σ = 266942003328. Its totient is φ = 33052646400.

The previous prime is 100422354323. The next prime is 100422354341. The reversal of 100422354336 is 633453224001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100422354297 and 100422354306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3602725 + ... + 3630491.

It is an arithmetic number, because the mean of its divisors is an integer number (2780645868).

Almost surely, 2100422354336 is an apocalyptic number.

100422354336 is a gapful number since it is divisible by the number (16) 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 100422354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133471001664).

100422354336 is an abundant number, since it is smaller than the sum of its proper divisors (166519648992).

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

100422354336 is a wasteful number, since it uses less digits than its factorization.

100422354336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28254 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 100422354336 its reverse (633453224001), we get a palindrome (733875578337).

The spelling of 100422354336 in words is "one hundred billion, four hundred twenty-two million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 373 404 606 746 808 1119 1212 1492 1616 2238 2424 2984 3232 4476 4848 5968 8952 9696 11936 17904 27767 35808 37673 55534 75346 83301 111068 113019 150692 166602 222136 226038 301384 333204 444272 452076 602768 666408 888544 904152 1205536 1332816 1808304 2665632 2804467 3616608 5608934 8413401 10357091 11217868 16826802 20714182 22435736 31071273 33653604 41428364 44871472 62142546 67307208 82856728 89742944 124285092 134614416 165713456 248570184 269228832 331426912 497140368 994280736 1046066191 2092132382 3138198573 4184264764 6276397146 8368529528 12552794292 16737059056 25105588584 33474118112 50211177168 100422354336