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23023001300032 = 2619532271573717
BaseRepresentation
bin1010011110000011101011…
…10100000110110001000000
310000111222101112201220000001
411033001311310012301000
511004202101313100112
6120544342031205344
74564233302061526
oct517016564066100
9100458345656001
1023023001300032
117377000030988
1226ba018676854
13cb00a1239736
14598467ca0316
1529dd33a94c57
hex14f075d06c40

23023001300032 has 112 divisors (see below), whose sum is σ = 49214064680640. Its totient is φ = 10652722808832.

The previous prime is 23023001300027. The next prime is 23023001300041. The reversal of 23023001300032 is 23000310032032.

It is a happy number.

It is a super-2 number, since 2×230230013000322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 23023001299982 and 23023001300009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13842838 + ... + 15416554.

Almost surely, 223023001300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023001300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607032340320).

23023001300032 is an abundant number, since it is smaller than the sum of its proper divisors (26191063380608).

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

23023001300032 is a wasteful number, since it uses less digits than its factorization.

23023001300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574028 (or 1574018 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23023001300032 its reverse (23000310032032), we get a palindrome (46023311332064).

The spelling of 23023001300032 in words is "twenty-three trillion, twenty-three billion, one million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 152 212 227 304 424 454 608 848 908 1007 1216 1696 1816 2014 3392 3632 4028 4313 7264 8056 8626 12031 14528 16112 17252 24062 32224 34504 48124 64448 69008 96248 138016 192496 228589 276032 384992 457178 769984 914356 1573717 1828712 3147434 3657424 6294868 7314848 12589736 14629696 25179472 29900623 50358944 59801246 83407001 100717888 119602492 166814002 239204984 333628004 357233759 478409968 667256008 714467518 956819936 1334512016 1428935036 1584733019 1913639872 2669024032 2857870072 3169466038 5338048064 5715740144 6338932076 6787441421 11431480288 12677864152 13574882842 18933389227 22862960576 25355728304 27149765684 37866778454 50711456608 54299531368 75733556908 101422913216 108599062736 151467113816 217198125472 302934227632 359734395313 434396250944 605868455264 719468790626 1211736910528 1438937581252 2877875162504 5755750325008 11511500650016 23023001300032