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113223101100 = 2235231115310559
BaseRepresentation
bin110100101110010011…
…1110110101010101100
3101211020201020110212220
41221130213312222230
53323340103213400
6124003003555340
711115526323444
oct1513447665254
9354221213786
10113223101100
114402154172a
1219b3a22bb50
13a8a5196515
1456a12a3124
152e2a05a7a0
hex1a5c9f6aac

113223101100 has 144 divisors (see below), whose sum is σ = 338485002240. Its totient is φ = 29190758400.

The previous prime is 113223101083. The next prime is 113223101129. The reversal of 113223101100 is 1101322311.

It is a happy number.

113223101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113223101100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10717621 + ... + 10728179.

Almost surely, 2113223101100 is an apocalyptic number.

113223101100 is a gapful number since it is divisible by the number (10) 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 113223101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169242501120).

113223101100 is an abundant number, since it is smaller than the sum of its proper divisors (225261901140).

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

113223101100 is a wasteful number, since it uses less digits than its factorization.

113223101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113223101100 its reverse (1101322311), we get a palindrome (114324423411).

The spelling of 113223101100 in words is "one hundred thirteen billion, two hundred twenty-three million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1153 1550 1860 2306 2325 3100 3459 4612 4650 5765 6918 9300 10559 11530 13836 17295 21118 23060 28825 31677 34590 35743 42236 52795 57650 63354 69180 71486 86475 105590 107229 115300 126708 142972 158385 172950 178715 211180 214458 263975 316770 327329 345900 357430 428916 527950 536145 633540 654658 714860 791925 893575 981987 1055900 1072290 1309316 1583850 1636645 1787150 1963974 2144580 2680725 3167700 3273290 3574300 3927948 4909935 5361450 6546580 8183225 9819870 10722900 12174527 16366450 19639740 24349054 24549675 32732900 36523581 48698108 49099350 60872635 73047162 98198700 121745270 146094324 182617905 243490540 304363175 365235810 377410337 608726350 730471620 754820674 913089525 1132231011 1217452700 1509641348 1826179050 1887051685 2264462022 3652358100 3774103370 4528924044 5661155055 7548206740 9435258425 11322310110 18870516850 22644620220 28305775275 37741033700 56611550550 113223101100