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101433421144 = 231117238910253
BaseRepresentation
bin101111001110111100…
…1110010110101011000
3100200211001212200101201
41132131321302311120
53130213423434034
6114333050123544
710220420565616
oct1363571626530
9320731780351
10101433421144
113a021581680
12177a9a205b4
139746790433
144ca35926b6
152989ed2014
hex179de72d58

101433421144 has 96 divisors (see below), whose sum is σ = 220988055600. Its totient is φ = 43278202880.

The previous prime is 101433421097. The next prime is 101433421169. The reversal of 101433421144 is 441124334101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9887922 + ... + 9898174.

Almost surely, 2101433421144 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 101433421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110494027800).

101433421144 is an abundant number, since it is smaller than the sum of its proper divisors (119554634456).

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

101433421144 is a wasteful number, since it uses less digits than its factorization.

101433421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101433421144 its reverse (441124334101), we get a palindrome (542557755245).

The spelling of 101433421144 in words is "one hundred one billion, four hundred thirty-three million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 389 578 748 778 1156 1496 1556 2312 3112 3179 4279 6358 6613 8558 10253 12716 13226 17116 20506 25432 26452 34232 41012 52904 72743 82024 112421 112783 145486 174301 224842 225566 290972 348602 449684 451132 581944 697204 899368 902264 1236631 1394408 1917311 2473262 2963117 3834622 3988417 4946524 5926234 7669244 7976834 9893048 11852468 15338488 15953668 23704936 31907336 32594287 43872587 65188574 67803089 87745174 130377148 135606178 175490348 260754296 271212356 350980696 542424712 745833979 1152652513 1491667958 2305305026 2983335916 4610610052 5966671832 9221220104 12679177643 25358355286 50716710572 101433421144