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112324101432 = 23323615995569
BaseRepresentation
bin110100010011100001…
…0011100010100111000
3101201221001121120011220
41220213002130110320
53320014432221212
6123333451152040
711054332052244
oct1504702342470
9351831546156
10112324101432
11437000329a4
1219929145620
13a790b6025a
145617b27424
152dc617a38c
hex1a2709c538

112324101432 has 128 divisors (see below), whose sum is σ = 298373760000. Its totient is φ = 35161251840.

The previous prime is 112324101397. The next prime is 112324101437. The reversal of 112324101432 is 234101423211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112324101437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20166744 + ... + 20172312.

It is an arithmetic number, because the mean of its divisors is an integer number (2331045000).

Almost surely, 2112324101432 is an apocalyptic number.

112324101432 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 112324101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149186880000).

112324101432 is an abundant number, since it is smaller than the sum of its proper divisors (186049658568).

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

112324101432 is a wasteful number, since it uses less digits than its factorization.

112324101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112324101432 its reverse (234101423211), we get a palindrome (346425524643).

The spelling of 112324101432 in words is "one hundred twelve billion, three hundred twenty-four million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 366 488 552 599 732 1198 1403 1464 1797 2396 2806 3594 4209 4792 5569 5612 7188 8418 11138 11224 13777 14376 16707 16836 22276 27554 33414 33672 36539 41331 44552 55108 66828 73078 82662 109617 110216 128087 133656 146156 165324 219234 256174 292312 330648 339709 384261 438468 512348 679418 768522 840397 876936 1019127 1024696 1358836 1537044 1680794 2038254 2521191 2717672 3074088 3335831 3361588 4076508 5042382 6671662 6723176 7813307 8153016 10007493 10084764 13343324 15626614 20014986 20169528 23439921 26686648 31253228 40029972 46879842 62506456 76724113 80059944 93759684 153448226 187519368 203485691 230172339 306896452 406971382 460344678 610457073 613792904 813942764 920689356 1220914146 1627885528 1841378712 2441828292 4680170893 4883656584 9360341786 14040512679 18720683572 28081025358 37441367144 56162050716 112324101432