Search a number
-
+
112220011110102 = 23737712294441457
BaseRepresentation
bin11001100001000001000001…
…111001100001111011010110
3112201100010110112010001000120
4121201001001321201323112
5104202103040321010402
61034401054510252410
732431425326560530
oct3141010171417326
9481303415101016
10112220011110102
113283626a77a3a5
1210704ba67b7106
134a803bc91c53c
141d9d69844a850
15ce91778773bc
hex661041e61ed6

112220011110102 has 128 divisors (see below), whose sum is σ = 268312386263040. Its totient is φ = 30622595512320.

The previous prime is 112220011110101. The next prime is 112220011110131. The reversal of 112220011110102 is 201011110022211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220011110101) 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, 23045758 + ... + 27487214.

It is an arithmetic number, because the mean of its divisors is an integer number (2096190517680).

Almost surely, 2112220011110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220011110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134156193131520).

112220011110102 is an abundant number, since it is smaller than the sum of its proper divisors (156092375152938).

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

112220011110102 is a wasteful number, since it uses less digits than its factorization.

112220011110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441806.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112220011110102 its reverse (201011110022211), we get a palindrome (313231121132313).

The spelling of 112220011110102 in words is "one hundred twelve trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 71 74 111 142 213 222 229 259 426 458 497 518 687 777 994 1374 1491 1554 1603 2627 2982 3206 4809 5254 7881 8473 9618 15762 16259 16946 18389 25419 32518 36778 48777 50838 55167 59311 97554 110334 113813 118622 177933 227626 341439 355866 601583 682878 1203166 1804749 3609498 4211081 4441457 8422162 8882914 12633243 13324371 25266486 26648742 31090199 62180398 93270597 164333909 186541194 315343447 328667818 493001727 630686894 946030341 986003454 1017093653 1150337363 1892060682 2034187306 2207404129 2300674726 3051280959 3451012089 4414808258 6102561918 6622212387 6902024178 7119655571 11667707539 13244424774 14239311142 21358966713 23335415078 35003122617 37632465161 42717933426 70006245234 72213649363 75264930322 81673952773 112897395483 144427298726 163347905546 216640948089 225794790966 245021858319 263427256127 433281896178 490043716638 505495545541 526854512254 790281768381 1010991091082 1516486636623 1580563536762 2671905026431 3032973273246 5343810052862 8015715079293 16031430158586 18703335185017 37406670370034 56110005555051 112220011110102