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112300232132 = 221124161113821
BaseRepresentation
bin110100010010110011…
…1011000110111000100
3101201212101200212122202
41220211213120313010
53314442324412012
6123331235414032
711053622136404
oct1504547306704
9351771625582
10112300232132
114369860a600
1219921154318
13a788c238ca
1456148b2804
152dc4012cc2
hex1a259d8dc4

112300232132 has 144 divisors (see below), whose sum is σ = 227178553392. Its totient is φ = 48491520000.

The previous prime is 112300232087. The next prime is 112300232141. The reversal of 112300232132 is 231232003211.

It can be written as a sum of positive squares in 8 ways, for example, as 82338006916 + 29962225216 = 286946^2 + 173096^2 .

It is a super-2 number, since 2×1123002321322 (a number of 23 digits) contains 22 as substring.

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, 136784282 + ... + 136785102.

It is an arithmetic number, because the mean of its divisors is an integer number (1577628843).

Almost surely, 2112300232132 is an apocalyptic number.

It is an amenable number.

112300232132 is an abundant number, since it is smaller than the sum of its proper divisors (114878321260).

112300232132 is a wasteful number, since it uses less digits than its factorization.

112300232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112300232132 its reverse (231232003211), we get a palindrome (343532235343).

The spelling of 112300232132 in words is "one hundred twelve billion, three hundred million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 41 44 61 82 113 121 122 164 226 242 244 451 452 484 671 821 902 1243 1342 1642 1804 2486 2501 2684 3284 4633 4961 4972 5002 6893 7381 9031 9266 9922 10004 13673 13786 14762 18062 18532 19844 27346 27511 27572 29524 33661 36124 50081 50963 54692 55022 67322 75823 92773 99341 100162 101926 110044 134644 151646 185546 198682 200324 203852 282613 302621 303292 370271 371092 397364 550891 560593 565226 605242 740542 834053 1020503 1101782 1121186 1130452 1210484 1481084 1668106 2041006 2053321 2203564 2242372 3108743 3336212 3803693 4072981 4082012 4106642 5659153 6059801 6217486 7607386 8145962 8213284 11225533 11318306 12119602 12434972 15214772 16291924 22451066 22586531 22636612 24239204 34196173 41840623 44902132 45173062 62250683 68392346 83681246 90346124 124501366 136784692 167362492 232025273 248451841 249002732 460246853 464050546 496903682 684757513 920493706 928101092 993807364 1369515026 1840987412 2552278003 2739030052 5104556006 10209112012 28075058033 56150116066 112300232132