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112130013132 = 223243891934217
BaseRepresentation
bin110100001101101111…
…0000011011111001100
3101201102112101212002100
41220123132003133030
53314120240410012
6123302315155100
711046454246164
oct1503336033714
9351375355070
10112130013132
1143610518545
1219894145a90
13a75c8959c7
1455da0435a4
152db40dc8dc
hex1a1b7837cc

112130013132 has 144 divisors (see below), whose sum is σ = 294879705120. Its totient is φ = 35901702144.

The previous prime is 112130013109. The next prime is 112130013143. The reversal of 112130013132 is 231310031211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 26587888 + ... + 26592104.

It is an arithmetic number, because the mean of its divisors is an integer number (2047775730).

Almost surely, 2112130013132 is an apocalyptic number.

112130013132 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 112130013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147439852560).

112130013132 is an abundant number, since it is smaller than the sum of its proper divisors (182749691988).

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

112130013132 is a wasteful number, since it uses less digits than its factorization.

112130013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112130013132 its reverse (231310031211), we get a palindrome (343440044343).

The spelling of 112130013132 in words is "one hundred twelve billion, one hundred thirty million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 89 129 172 178 193 258 267 356 386 387 516 534 579 772 774 801 1068 1158 1548 1602 1737 2316 3204 3474 3827 4217 6948 7654 8299 8434 11481 12651 15308 16598 16868 17177 22962 24897 25302 33196 34354 34443 37953 45924 49794 50604 51531 68708 68886 74691 75906 99588 103062 137772 149382 151812 154593 181331 206124 298764 309186 362662 375313 543993 618372 725324 738611 750626 813881 1087986 1125939 1477222 1501252 1627762 1631979 2175972 2215833 2251878 2441643 2954444 3255524 3263958 3377817 4431666 4503756 4883286 6527916 6647499 6755634 7324929 8863332 9766572 13294998 13511268 14649858 16138459 26589996 29299716 32276918 34996883 48415377 64553836 69993766 72435409 96830754 104990649 139987532 144870818 145246131 193661508 209981298 217306227 289741636 290492262 314971947 419962596 434612454 580984524 629943894 651918681 869224908 1259887788 1303837362 2607674724 3114722587 6229445174 9344167761 12458890348 18688335522 28032503283 37376671044 56065006566 112130013132