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10023414324 = 22372118318671
BaseRepresentation
bin10010101010111000…
…10010101000110100
3221212112211012112120
421111130102220310
5131011443224244
64334340315540
7503250421200
oct112534225064
927775735476
1010023414324
114283a575a0
121b389a2bb0
13c397c79c1
146b12d9b00
153d9e85819
hex255712a34

10023414324 has 144 divisors (see below), whose sum is σ = 30038916096. Its totient is φ = 2571979200.

The previous prime is 10023414281. The next prime is 10023414343. The reversal of 10023414324 is 42341432001.

It is a junction number, because it is equal to n+sod(n) for n = 10023414294 and 10023414303.

It is a congruent number.

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, 527509 + ... + 546179.

It is an arithmetic number, because the mean of its divisors is an integer number (208603584).

Almost surely, 210023414324 is an apocalyptic number.

10023414324 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 10023414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019458048).

10023414324 is an abundant number, since it is smaller than the sum of its proper divisors (20015501772).

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

10023414324 is a wasteful number, since it uses less digits than its factorization.

10023414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18786 (or 18777 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10023414324 its reverse (42341432001), we get a palindrome (52364846325).

The spelling of 10023414324 in words is "ten billion, twenty-three million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 83 84 98 132 147 154 166 196 231 249 294 308 332 462 498 539 581 588 913 924 996 1078 1162 1617 1743 1826 2156 2324 2739 3234 3486 3652 4067 5478 6391 6468 6972 8134 10956 12201 12782 16268 18671 19173 24402 25564 37342 38346 44737 48804 56013 74684 76692 89474 112026 130697 134211 178948 205381 224052 261394 268422 392091 410762 522788 536844 616143 784182 821524 914879 1232286 1437667 1549693 1568364 1829758 2464572 2744637 2875334 3099386 3659516 4313001 4649079 5489274 5750668 6198772 8626002 9298158 10063669 10847851 10978548 17046623 17252004 18596316 20127338 21695702 30191007 32543553 34093246 40254676 43391404 51139869 60382014 65087106 68186492 75934957 102279738 119326361 120764028 130174212 151869914 204559476 227804871 238652722 303739828 357979083 455609742 477305444 715958166 835284527 911219484 1431916332 1670569054 2505853581 3341138108 5011707162 10023414324