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110199423672 = 23341314718893
BaseRepresentation
bin110011010100001100…
…1011100001010111000
3101112102222122202020000
41212220121130022320
53301142023024142
6122342552033000
710650562434402
oct1465031341270
9345388582200
10110199423672
114280a77a068
1219435692760
13a512911a90
145495895b72
152cee88b14c
hex19a865c2b8

110199423672 has 160 divisors (see below), whose sum is σ = 332666906880. Its totient is φ = 33880654080.

The previous prime is 110199423667. The next prime is 110199423679. The reversal of 110199423672 is 276324991011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110199423679) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 12387258 + ... + 12396150.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168168).

Almost surely, 2110199423672 is an apocalyptic number.

110199423672 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 110199423672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166333453440).

110199423672 is an abundant number, since it is smaller than the sum of its proper divisors (222467483208).

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

110199423672 is a wasteful number, since it uses less digits than its factorization.

110199423672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 110199423672 in words is "one hundred ten billion, one hundred ninety-nine million, four hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1471 2106 2808 2942 4212 4413 5884 8424 8826 8893 11768 13239 17652 17786 19123 26478 26679 35304 35572 38246 39717 52956 53358 57369 71144 76492 79434 80037 105912 106716 114738 115609 119151 152984 158868 160074 172107 213432 229476 231218 238302 240111 317736 320148 344214 346827 458952 462436 476604 480222 516321 640296 688428 693654 720333 924872 953208 960444 1032642 1040481 1376856 1387308 1440666 1548963 1920888 2065284 2080962 2774616 2881332 3097926 3121443 4130568 4161924 5762664 6195852 6242886 8323848 9364329 12391704 12485772 13081603 18728658 24971544 26163206 37457316 39244809 52326412 74914632 78489618 104652824 117734427 156979236 170060839 235468854 313958472 340121678 353203281 470937708 510182517 680243356 706406562 941875416 1020365034 1059609843 1360486712 1412813124 1530547551 2040730068 2119219686 2825626248 3061095102 4081460136 4238439372 4591642653 6122190204 8476878744 9183285306 12244380408 13774927959 18366570612 27549855918 36733141224 55099711836 110199423672