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110201221212 = 2232313715119301
BaseRepresentation
bin110011010100010000…
…0010011000001011100
3101112110010001001222120
41212220200103001130
53301143003034322
6122343054342540
710650613632135
oct1465040230134
9345403031876
10110201221212
1142810797635
12194361baa50
13a5130c1004
145495c02c8c
152ceeae3a5c
hex19a881305c

110201221212 has 96 divisors (see below), whose sum is σ = 272078521344. Its totient is φ = 34647360000.

The previous prime is 110201221157. The next prime is 110201221259. The reversal of 110201221212 is 212122102011.

It is a junction number, because it is equal to n+sod(n) for n = 110201221191 and 110201221200.

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, 5699962 + ... + 5719262.

It is an arithmetic number, because the mean of its divisors is an integer number (2834151264).

Almost surely, 2110201221212 is an apocalyptic number.

110201221212 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 110201221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136039260672).

110201221212 is an abundant number, since it is smaller than the sum of its proper divisors (161877300132).

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

110201221212 is a wasteful number, since it uses less digits than its factorization.

110201221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19619 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110201221212 its reverse (212122102011), we get a palindrome (322323323223).

The spelling of 110201221212 in words is "one hundred ten billion, two hundred one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 151 274 276 302 411 453 548 604 822 906 1644 1812 3151 3473 6302 6946 9453 10419 12604 13892 18906 19301 20687 20838 37812 38602 41374 41676 57903 62061 77204 82748 115806 124122 231612 248244 443923 475801 887846 951602 1331769 1427403 1775692 1903204 2644237 2663538 2854806 2914451 5288474 5327076 5709612 5828902 7932711 8743353 10576948 11657804 15865422 17486706 31730844 34973412 60817451 67032373 121634902 134064746 182452353 201097119 243269804 268129492 364904706 399279787 402194238 729809412 798559574 804388476 1197839361 1597119148 2395678722 4791357444 9183435101 18366870202 27550305303 36733740404 55100610606 110201221212