Search a number
-
+
110222021112112 = 24721367715974243
BaseRepresentation
bin11001000011111100010000…
…011010100011000100110000
3112110021010022011102212110101
4121003330100122203010300
5103421334144401041422
61030231144130442144
732134164302032600
oct3103742032430460
9473233264385411
10110222021112112
11321359954878a8
1210441923a33354
134966b79924c90
141d30aba8dac00
15cb21db085c27
hex643f106a3130

110222021112112 has 120 divisors (see below), whose sum is σ = 267925834992816. Its totient is φ = 43539905170944.

The previous prime is 110222021112101. The next prime is 110222021112149. The reversal of 110222021112112 is 211211120222011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 110222021112112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087138 + ... + 14887105.

Almost surely, 2110222021112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222021112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133962917496408).

110222021112112 is an abundant number, since it is smaller than the sum of its proper divisors (157703813880704).

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

110222021112112 is a wasteful number, since it uses less digits than its factorization.

110222021112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15974955 (or 15974942 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110222021112112 its reverse (211211120222011), we get a palindrome (321433141334123).

The spelling of 110222021112112 in words is "one hundred ten trillion, two hundred twenty-two billion, twenty-one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 677 728 784 1274 1354 1456 2548 2708 4739 5096 5416 8801 9478 10192 10832 17602 18956 33173 35204 37912 61607 66346 70408 75824 123214 132692 140816 246428 265384 431249 492856 530768 862498 985712 1724996 3449992 6899984 15974243 31948486 63896972 111819701 127793944 207665159 223639402 255587888 415330318 447278804 782737907 830660636 894557608 1453656113 1565475814 1661321272 1789115216 2907312226 3130951628 3322642544 5814624452 6261903256 10175592791 10814562511 11629248904 12523806512 20351185582 21629125022 23258497808 40702371164 43258250044 75701937577 81404742328 86516500088 140589312643 151403875154 162809484656 173033000176 281178625286 302807750308 529913563039 562357250572 605615500616 984125188501 1059827126078 1124714501144 1211231001232 1968250377002 2119654252156 2249429002288 3936500754004 4239308504312 6888876319507 7873001508008 8478617008624 13777752639014 15746003016016 27555505278028 55111010556056 110222021112112