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100244443332 = 223114349935393
BaseRepresentation
bin101110101011100001…
…0001101000011000100
3100120202012121100110110
41131113002031003010
53120300034141312
6114015054153020
710146102465165
oct1352702150304
9316665540413
10100244443332
1139571413a90
12175177b2770
1395b7357b77
144bcd6d176c
15291a92243c
hex175708d0c4

100244443332 has 96 divisors (see below), whose sum is σ = 261632448000. Its totient is φ = 29610362880.

The previous prime is 100244443301. The next prime is 100244443333. The reversal of 100244443332 is 233344442001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100244443332.

It is not an unprimeable number, because it can be changed into a prime (100244443333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2814628 + ... + 2850020.

It is an arithmetic number, because the mean of its divisors is an integer number (2725338000).

Almost surely, 2100244443332 is an apocalyptic number.

100244443332 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 100244443332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130816224000).

100244443332 is an abundant number, since it is smaller than the sum of its proper divisors (161388004668).

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

100244443332 is a wasteful number, since it uses less digits than its factorization.

100244443332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35953 (or 35951 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 100244443332 its reverse (233344442001), we get a palindrome (333588885333).

The spelling of 100244443332 in words is "one hundred billion, two hundred forty-four million, four hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 499 516 946 998 1419 1497 1892 1996 2838 2994 5489 5676 5988 10978 16467 21457 21956 32934 35393 42914 64371 65868 70786 85828 106179 128742 141572 212358 236027 257484 389323 424716 472054 708081 778646 944108 1167969 1416162 1521899 1557292 2335938 2832324 3043798 4565697 4671876 6087596 9131394 16740889 17661107 18262788 33481778 35322214 50222667 52983321 66963556 70644428 100445334 105966642 194272177 200890668 211933284 388544354 582816531 759427601 777088708 1165633062 1518855202 2278282803 2331266124 3037710404 4556565606 8353703611 9113131212 16707407222 25061110833 33414814444 50122221666 100244443332