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111320113014 = 2321121721114249
BaseRepresentation
bin110011110101100110…
…0100001111101110110
3101122100002102122222200
41213223030201331312
53310440422104024
6123050104205330
711020421230305
oct1475314417566
9348302378880
10111320113014
1143235335600
12196a8a69846
13a660b57876
14556065c43c
152d67e5c2c9
hex19eb321f76

111320113014 has 144 divisors (see below), whose sum is σ = 282058686000. Its totient is φ = 31596364800.

The previous prime is 111320112971. The next prime is 111320113019. The reversal of 111320113014 is 410311023111.

It is a happy number.

It is a super-2 number, since 2×1113201130142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111320113019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7805362 + ... + 7819610.

It is an arithmetic number, because the mean of its divisors is an integer number (1958740875).

Almost surely, 2111320113014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111320113014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141029343000).

111320113014 is an abundant number, since it is smaller than the sum of its proper divisors (170738572986).

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

111320113014 is a wasteful number, since it uses less digits than its factorization.

111320113014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14507 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111320113014 its reverse (410311023111), we get a palindrome (521631136125).

The spelling of 111320113014 in words is "one hundred eleven billion, three hundred twenty million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 211 242 306 363 374 422 561 633 726 1089 1122 1266 1683 1899 2057 2178 2321 3366 3587 3798 4114 4642 6171 6963 7174 10761 12342 13926 14249 18513 20889 21522 25531 28498 32283 37026 39457 41778 42747 51062 64566 76593 78914 85494 118371 128241 153186 156739 229779 236742 242233 256482 313478 355113 434027 459558 470217 484466 710226 726699 868054 940434 1302081 1410651 1453398 1724129 2180097 2604162 2664563 2821302 3006539 3448258 3906243 4360194 5172387 5329126 6013078 7812486 7993689 9019617 10344774 15517161 15987378 18039234 23981067 27058851 29310193 31034322 33071929 47962134 51111163 54117702 58620386 66143858 87930579 99215787 102222326 153333489 175861158 198431574 263791737 297647361 306666978 363791219 460000467 527583474 562222793 595294722 727582438 920000934 1091373657 1124445586 1686668379 2182747314 3274120971 3373336758 5060005137 6184450723 6548241942 10120010274 12368901446 18553352169 37106704338 55660056507 111320113014