Search a number
-
+
112200110021112 = 233374211571191039
BaseRepresentation
bin11001100000101110011111…
…101100111001100111111000
3112201021020002120200222011120
4121200232133230321213320
5104201241311131133422
61034344004033025240
732430122215242111
oct3140563754714770
9481236076628146
10112200110021112
1132828888068713
12107011719b5220
134a7b56a896839
141d9c72b351208
15ce88b064845c
hex660b9fb399f8

112200110021112 has 128 divisors (see below), whose sum is σ = 288950964940800. Its totient is φ = 36279491673600.

The previous prime is 112200110021071. The next prime is 112200110021137. The reversal of 112200110021112 is 211120011002211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112200110021091 and 112200110021100.

It is a congruent number.

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, 587219689 + ... + 587410727.

It is an arithmetic number, because the mean of its divisors is an integer number (2257429413600).

Almost surely, 2112200110021112 is an apocalyptic number.

112200110021112 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 112200110021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144475482470400).

112200110021112 is an abundant number, since it is smaller than the sum of its proper divisors (176750854919688).

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

112200110021112 is a wasteful number, since it uses less digits than its factorization.

112200110021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193077 (or 193073 counting only the distinct ones).

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

Adding to 112200110021112 its reverse (211120011002211), we get a palindrome (323320121023323).

The spelling of 112200110021112 in words is "one hundred twelve trillion, two hundred billion, one hundred ten million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 421 444 842 888 1263 1571 1684 2526 3142 3368 4713 5052 6284 9426 10104 12568 15577 18852 31154 37704 46731 58127 62308 93462 116254 124616 174381 186924 191039 232508 348762 373848 382078 465016 573117 661391 697524 764156 1146234 1322782 1395048 1528312 1984173 2292468 2645564 3968346 4584936 5291128 7068443 7936692 14136886 15873384 21205329 24471467 28273772 42410658 48942934 56547544 73414401 80427419 84821316 97885868 146828802 160854838 169642632 195771736 241282257 293657604 300122269 321709676 482564514 587315208 600244538 643419352 900366807 965129028 1200489076 1800733614 1930258056 2400978152 2975814503 3601467228 5951629006 7202934456 8927443509 11104523953 11903258012 17854887018 22209047906 23806516024 33313571859 35709774036 44418095812 66627143718 71419548072 88836191624 126351475249 133254287436 252702950498 266508574872 379054425747 505405900996 758108851494 1010811801992 1516217702988 3032435405976 4675004584213 9350009168426 14025013752639 18700018336852 28050027505278 37400036673704 56100055010556 112200110021112