Search a number
-
+
110002202112 = 2931159310979
BaseRepresentation
bin110011001110010100…
…1000110011000000000
3101111221020112212002210
41212130221012120000
53300241030431422
6122311224542120
710642646201415
oct1463451063000
9344836485083
10110002202112
1142719414640
121939b621940
13a4b0abb32a
1454775d810c
152cdc3d010c
hex199ca46600

110002202112 has 160 divisors (see below), whose sum is σ = 320262180480. Its totient is φ = 33274757120.

The previous prime is 110002202087. The next prime is 110002202119. The reversal of 110002202112 is 211202200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002202119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10013839 + ... + 10024817.

It is an arithmetic number, because the mean of its divisors is an integer number (2001638628).

Almost surely, 2110002202112 is an apocalyptic number.

110002202112 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 110002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160131090240).

110002202112 is an abundant number, since it is smaller than the sum of its proper divisors (210259978368).

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

110002202112 is a wasteful number, since it uses less digits than its factorization.

110002202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110002202112 its reverse (211202200011), we get a palindrome (321204402123).

The spelling of 110002202112 in words is "one hundred ten billion, two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 593 704 768 1056 1186 1408 1536 1779 2112 2372 2816 3558 4224 4744 5632 6523 7116 8448 9488 10979 13046 14232 16896 18976 19569 21958 26092 28464 32937 37952 39138 43916 52184 56928 65874 75904 78276 87832 104368 113856 120769 131748 151808 156552 175664 208736 227712 241538 263496 303616 313104 351328 362307 417472 455424 483076 526992 626208 702656 724614 834944 910848 966152 1053984 1252416 1405312 1449228 1669888 1932304 2107968 2504832 2810624 2898456 3339776 3864608 4215936 5009664 5621248 5796912 6510547 7729216 8431872 10019328 11593824 13021094 15458432 16863744 19531641 23187648 26042188 30916864 39063282 46375296 52084376 61833728 71616017 78126564 92750592 104168752 143232034 156253128 185501184 208337504 214848051 286464068 312506256 416675008 429696102 572928136 625012512 833350016 859392204 1145856272 1250025024 1666700032 1718784408 2291712544 2500050048 3333400064 3437568816 4583425088 5000100096 6875137632 9166850176 10000200192 13750275264 18333700352 27500550528 36667400704 55001101056 110002202112