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13110022213032 = 23323733163102859
BaseRepresentation
bin1011111011000110101000…
…1101111000110110101000
31201102022020222201001012110
42332301222031320312220
53204243311141304112
643514354442242320
72522111400106023
oct276615215706650
951368228631173
1013110022213032
1141a4a24841888
121578987ab63a0
13741367961b14
1433475814c1ba
1517b04d6bb13c
hexbec6a378da8

13110022213032 has 128 divisors (see below), whose sum is σ = 34679849702400. Its totient is φ = 4121403213312.

The previous prime is 13110022212983. The next prime is 13110022213051. The reversal of 13110022213032 is 23031222001131.

It is a super-3 number, since 3×131100222130323 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127404819 + ... + 127507677.

It is an arithmetic number, because the mean of its divisors is an integer number (270936325800).

Almost surely, 213110022213032 is an apocalyptic number.

13110022213032 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 13110022213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339924851200).

13110022213032 is an abundant number, since it is smaller than the sum of its proper divisors (21569827489368).

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

13110022213032 is a wasteful number, since it uses less digits than its factorization.

13110022213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106127 (or 106123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13110022213032 its reverse (23031222001131), we get a palindrome (36141244214163).

The spelling of 13110022213032 in words is "thirteen trillion, one hundred ten billion, twenty-two million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 138 146 184 219 276 292 438 552 584 876 1679 1752 3163 3358 5037 6326 6716 9489 10074 12652 13432 18978 20148 25304 37956 40296 72749 75912 102859 145498 205718 218247 230899 290996 308577 411436 436494 461798 581992 617154 692697 822872 872988 923596 1234308 1385394 1745976 1847192 2365757 2468616 2770788 4731514 5310677 5541576 7097271 7508707 9463028 10621354 14194542 15017414 15932031 18926056 21242708 22526121 28389084 30034828 31864062 42485416 45052242 56778168 60069656 63728124 90104484 127456248 172700261 180208968 325343017 345400522 518100783 650686034 690801044 976029051 1036201566 1301372068 1381602088 1952058102 2072403132 2602744136 3904116204 4144806264 7482889391 7808232408 14965778782 22448668173 23750040241 29931557564 44897336346 47500080482 59863115128 71250120723 89794672692 95000160964 142500241446 179589345384 190000321928 285000482892 546250925543 570000965784 1092501851086 1638752776629 2185003702172 3277505553258 4370007404344 6555011106516 13110022213032