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13112132022024 = 2337166760117789
BaseRepresentation
bin1011111011001110011111…
…1110001010111100001000
31201102111201000200110001020
42332303213332022330020
53204312121244201044
643515344050552440
72522214566145450
oct276634776127410
951374630613036
1013112132022024
1141a590776a582
121579276598720
13741612aa55c9
143348b842cd60
1517b123a1ea19
hexbece7f8af08

13112132022024 has 128 divisors (see below), whose sum is σ = 37496757427200. Its totient is φ = 3742972611840.

The previous prime is 13112132021983. The next prime is 13112132022029. The reversal of 13112132022024 is 42022023121131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13112132021985 and 13112132022003.

It is not an unprimeable number, because it can be changed into a prime (13112132022029) 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, 1683412722 + ... + 1683420510.

It is an arithmetic number, because the mean of its divisors is an integer number (292943417400).

Almost surely, 213112132022024 is an apocalyptic number.

13112132022024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13112132022024 is an abundant number, since it is smaller than the sum of its proper divisors (24384625405176).

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

13112132022024 is a wasteful number, since it uses less digits than its factorization.

13112132022024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15483 (or 15479 counting only the distinct ones).

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

Adding to 13112132022024 its reverse (42022023121131), we get a palindrome (55134155143155).

The spelling of 13112132022024 in words is "thirteen trillion, one hundred twelve billion, one hundred thirty-two million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1667 3334 5001 6011 6668 7789 10002 11669 12022 13336 15578 18033 20004 23338 23367 24044 31156 35007 36066 40008 42077 46676 46734 48088 54523 62312 70014 72132 84154 93352 93468 109046 126231 140028 144264 163569 168308 186936 218092 252462 280056 327138 336616 436184 504924 654276 1009848 1308552 10020337 12984263 20040674 25968526 30061011 38952789 40081348 46819679 51937052 60122022 70142359 77905578 80162696 90889841 93639358 103874104 120244044 140284718 140459037 155811156 181779682 187278716 210427077 240488088 272669523 280569436 280918074 311622312 327737753 363559364 374557432 420854154 545339046 561138872 561836148 655475506 727118728 841708308 983213259 1090678092 1123672296 1310951012 1683416616 1966426518 2181356184 2621902024 3932853036 7865706072 78048404893 156096809786 234145214679 312193619572 468290429358 546338834251 624387239144 936580858716 1092677668502 1639016502753 1873161717432 2185355337004 3278033005506 4370710674008 6556066011012 13112132022024