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123021341200324 = 22717219886790239
BaseRepresentation
bin11011111110001100100011…
…010101111000111111000100
3121010120201120210021121121101
4123332030203111320333010
5112111040201321402244
61113351120212225444
734624666342513210
oct3376144325707704
9533521523247541
10123021341200324
113622006aa47626
121196a43a30b284
135384b2a466458
14225439c415940
15e351027430d4
hex6fe323578fc4

123021341200324 has 144 divisors (see below), whose sum is σ = 275157382348800. Its totient is φ = 47004543945216.

The previous prime is 123021341200283. The next prime is 123021341200349. The reversal of 123021341200324 is 423002143120321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 123021341200292 and 123021341200301.

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, 1363238397 + ... + 1363328635.

It is an arithmetic number, because the mean of its divisors is an integer number (1910815155200).

Almost surely, 2123021341200324 is an apocalyptic number.

123021341200324 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 123021341200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137578691174400).

123021341200324 is an abundant number, since it is smaller than the sum of its proper divisors (152136041148476).

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

123021341200324 is a wasteful number, since it uses less digits than its factorization.

123021341200324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99170 (or 99151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 123021341200324 its reverse (423002143120321), we get a palindrome (546023484320645).

The spelling of 123021341200324 in words is "one hundred twenty-three trillion, twenty-one billion, three hundred forty-one million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 289 323 476 532 578 646 1156 1292 2023 2261 4046 4522 5491 8092 8867 9044 10982 17734 21964 35468 38437 62069 76874 90239 124138 150739 153748 168473 180478 248276 301478 336946 360956 602956 631673 673892 1055173 1179311 1263346 1534063 1714541 2110346 2358622 2526692 2562563 2864041 3068126 3429082 4220692 4717244 5125126 5728082 6136252 6858164 10250252 10738441 11456164 12001787 17937941 20048287 21476882 24003574 26079071 29147197 35875882 40096574 42953764 48007148 48688697 52158142 58294394 71751764 80193148 97377394 104316284 116588788 182553497 194754788 204030379 340820879 365106994 408060758 495502349 681641758 730213988 800149213 816121516 991004698 1363283516 1600298426 1982009396 3200596852 3468516443 5601044491 6937032886 11202088982 13602536621 13874065772 15202835047 22404177964 27205073242 30405670094 54410146484 60811340188 95217756347 106419845329 190435512694 212839690658 231243122557 258448195799 380871025388 425679381316 462486245114 516896391598 924972490228 1033792783196 1618701857899 1809137370593 3237403715798 3618274741186 4393619328583 6474807431596 7236549482372 8787238657166 17574477314332 30755335300081 61510670600162 123021341200324