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112323011000 = 23531513072423
BaseRepresentation
bin110100010011011111…
…0010010000110111000
3101201220222120011101112
41220212332102012320
53320014142323000
6123333411535452
711054316561164
oct1504676220670
9351828504345
10112323011000
11436aa458712
12199288ba588
13a79086ab25
145617921ca4
152dc6012235
hex1a26f921b8

112323011000 has 128 divisors (see below), whose sum is σ = 265547842560. Its totient is φ = 44467920000.

The previous prime is 112323010993. The next prime is 112323011023. The reversal of 112323011000 is 110323211.

It is a super-2 number, since 2×1123230110002 (a number of 23 digits) contains 22 as substring.

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, 46355789 + ... + 46358211.

It is an arithmetic number, because the mean of its divisors is an integer number (2074592520).

Almost surely, 2112323011000 is an apocalyptic number.

112323011000 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 112323011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132773921280).

112323011000 is an abundant number, since it is smaller than the sum of its proper divisors (153224831560).

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

112323011000 is a wasteful number, since it uses less digits than its factorization.

112323011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112323011000 its reverse (110323211), we get a palindrome (112433334211).

The spelling of 112323011000 in words is "one hundred twelve billion, three hundred twenty-three million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 307 500 604 614 755 1000 1208 1228 1510 1535 2423 2456 3020 3070 3775 4846 6040 6140 7550 7675 9692 12115 12280 15100 15350 18875 19384 24230 30200 30700 37750 38375 46357 48460 60575 61400 75500 76750 92714 96920 121150 151000 153500 185428 231785 242300 302875 307000 365873 370856 463570 484600 605750 731746 743861 927140 1158925 1211500 1463492 1487722 1829365 1854280 2317850 2423000 2926984 2975444 3658730 3719305 4635700 5794625 5950888 7317460 7438610 9146825 9271400 11589250 14634920 14877220 18293650 18596525 23178500 29754440 36587300 37193050 45734125 46357000 73174600 74386100 91468250 92982625 112323011 148772200 182936500 185965250 224646022 365873000 371930500 449292044 561615055 743861000 898584088 1123230110 2246460220 2808075275 4492920440 5616150550 11232301100 14040376375 22464602200 28080752750 56161505500 112323011000