Search a number
-
+
110201112112 = 24721310812511
BaseRepresentation
bin110011010100001111…
…1111000011000110000
3101112110002211112022211
41212220133320120300
53301142441041422
6122343052141504
710650612666100
oct1465037703060
9345402745284
10110201112112
1142810722673
1219436167894
13a513083460
145495bb5200
152ceeac1577
hex19a87f8630

110201112112 has 60 divisors (see below), whose sum is σ = 267479921856. Its totient is φ = 43596040320.

The previous prime is 110201112079. The next prime is 110201112157. The reversal of 110201112112 is 211211102011.

It is a happy number.

It is a super-2 number, since 2×1102011121122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 110201112092 and 110201112101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5396064 + ... + 5416447.

Almost surely, 2110201112112 is an apocalyptic number.

It is an amenable number.

110201112112 is an abundant number, since it is smaller than the sum of its proper divisors (157278809744).

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

110201112112 is a wasteful number, since it uses less digits than its factorization.

110201112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812546 (or 10812533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110201112112 its reverse (211211102011), we get a palindrome (321412214123).

The spelling of 110201112112 in words is "one hundred ten billion, two hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 10812511 21625022 43250044 75687577 86500088 140562643 151375154 173000176 281125286 302750308 529813039 562250572 605500616 983938501 1059626078 1124501144 1211001232 1967877002 2119252156 2249002288 3935754004 4238504312 6887569507 7871508008 8477008624 13775139014 15743016016 27550278028 55100556056 110201112112