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111013630367442 = 2311171933115732649
BaseRepresentation
bin11001001111011101100000…
…000000001101011011010010
3112120001210120202220121121220
4121033131200000031123102
5104022321403333224232
61032034542512225510
732245320151501305
oct3117354000153322
9476053522817556
10111013630367442
113241068624a970
121054b22823b296
1349c370440a87a
141d5b134722b3c
15cc7abc8e642c
hex64f76000d6d2

111013630367442 has 128 divisors (see below), whose sum is σ = 270772751232000. Its totient is φ = 29904617318400.

The previous prime is 111013630367441. The next prime is 111013630367449. The reversal of 111013630367442 is 244763036310111.

It is a happy number.

It is a super-2 number, since 2×1110136303674422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111013630367394 and 111013630367403.

It is not an unprimeable number, because it can be changed into a prime (111013630367441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 810067 + ... + 14922582.

It is an arithmetic number, because the mean of its divisors is an integer number (2115412119000).

Almost surely, 2111013630367442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111013630367442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135386375616000).

111013630367442 is an abundant number, since it is smaller than the sum of its proper divisors (159759120864558).

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

111013630367442 is a wasteful number, since it uses less digits than its factorization.

111013630367442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15733032.

The product of its (nonzero) digits is 217728, while the sum is 42.

Adding to 111013630367442 its reverse (244763036310111), we get a palindrome (355776666677553).

The spelling of 111013630367442 in words is "one hundred eleven trillion, thirteen billion, six hundred thirty million, three hundred sixty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 331 374 418 561 627 646 662 969 993 1122 1254 1938 1986 3553 3641 5627 6289 7106 7282 10659 10923 11254 12578 16881 18867 21318 21846 33762 37734 61897 69179 106913 123794 138358 185691 207537 213826 320739 371382 415074 641478 1176043 2352086 3528129 7056258 15732649 31465298 47197947 94395894 173059139 267455033 298920331 346118278 519177417 534910066 597840662 802365099 896760993 1038354834 1604730198 1793521986 2942005363 3288123641 5081645627 5207506819 5884010726 6576247282 8826016089 9864370923 10163291254 10415013638 15244936881 15622520457 17652032178 19728741846 30489873762 31245040914 55898101897 57282575009 88527615923 98942629561 111796203794 114565150018 167694305691 171847725027 177055231846 197885259122 265582847769 296827888683 335388611382 343695450054 531165695538 593655777366 973803775153 1088368925171 1682024702537 1947607550306 2176737850342 2921411325459 3265106775513 3364049405074 5046074107611 5842822650918 6530213551026 10092148215222 18502271727907 37004543455814 55506815183721 111013630367442