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1013232024 = 233373121617
BaseRepresentation
bin111100011001001…
…011000110011000
32121121120112001000
4330121023012120
54033341411044
6244313025000
734052221140
oct7431130630
92547515030
101013232024
1147aa41242
122433b5160
13131bc0b9c
14987d3920
155de46d69
hex3c64b198

1013232024 has 128 divisors (see below), whose sum is σ = 3320524800. Its totient is φ = 280143360.

The previous prime is 1013232023. The next prime is 1013232037. The reversal of 1013232024 is 4202323101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1013231988 and 1013232006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013232023) 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, 36064 + ... + 57680.

It is an arithmetic number, because the mean of its divisors is an integer number (25941600).

Almost surely, 21013232024 is an apocalyptic number.

1013232024 is a gapful number since it is divisible by the number (14) 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 1013232024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660262400).

1013232024 is an abundant number, since it is smaller than the sum of its proper divisors (2307292776).

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

1013232024 is a wasteful number, since it uses less digits than its factorization.

1013232024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21670 (or 21660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1013232024 is about 31831.3057225116. The cubic root of 1013232024 is about 1004.3913623754.

Adding to 1013232024 its reverse (4202323101), we get a palindrome (5215555125).

The spelling of 1013232024 in words is "one billion, thirteen million, two hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 15624 21617 23436 43234 46872 64851 86468 129702 151319 172936 194553 259404 302638 389106 453957 518808 583659 605276 670127 778212 907914 1167318 1210552 1340254 1361871 1556424 1815828 2010381 2334636 2680508 2723742 3631656 4020762 4085613 4669272 4690889 5361016 5447484 6031143 8041524 8171226 9381778 10894968 12062286 14072667 16083048 16342452 18093429 18763556 24124572 28145334 32684904 36186858 37527112 42218001 48249144 56290668 72373716 84436002 112581336 126654003 144747432 168872004 253308006 337744008 506616012 1013232024