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100422043312 = 24312275991489
BaseRepresentation
bin101110110000110011…
…1101100011010110000
3100121012120210100211111
41131201213230122300
53121131020341222
6114044440523104
710153360166323
oct1354147543260
9317176710744
10100422043312
1139652697528
1217567180494
13961509b506
144c091227ba
15292b304777
hex17619ec6b0

100422043312 has 80 divisors (see below), whose sum is σ = 202201344000. Its totient is φ = 48264053760.

The previous prime is 100422043303. The next prime is 100422043313. The reversal of 100422043312 is 213340224001.

It is not an unprimeable number, because it can be changed into a prime (100422043313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67441864 + ... + 67443352.

It is an arithmetic number, because the mean of its divisors is an integer number (2527516800).

Almost surely, 2100422043312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100422043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101100672000).

100422043312 is an abundant number, since it is smaller than the sum of its proper divisors (101779300688).

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

100422043312 is a wasteful number, since it uses less digits than its factorization.

100422043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100422043312 its reverse (213340224001), we get a palindrome (313762267313).

The spelling of 100422043312 in words is "one hundred billion, four hundred twenty-two million, forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 227 248 454 496 599 908 1198 1489 1816 2396 2978 3632 4792 5956 7037 9584 11912 14074 18569 23824 28148 37138 46159 56296 74276 92318 112592 135973 148552 184636 271946 297104 338003 369272 543892 676006 738544 891911 1087784 1352012 1783822 2175568 2704024 3567644 4215163 5408048 7135288 8430326 10478093 14270576 16860652 20956186 27649241 33721304 41912372 55298482 67442608 83824744 110596964 167649488 202463797 221193928 404927594 442387856 809855188 1619710376 3239420752 6276377707 12552755414 25105510828 50211021656 100422043312