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10123122324 = 22375317912703
BaseRepresentation
bin10010110110110001…
…01001011010010100
3222010111102220012110
421123120221122110
5131213004403244
64352301351020
7505601056110
oct113330513224
928114386173
1010123122324
1143252696a7
121b66268470
13c54368613
146c0652740
153e3acd9b9
hex25b629694

10123122324 has 96 divisors (see below), whose sum is σ = 27660165120. Its totient is φ = 2821673088.

The previous prime is 10123122257. The next prime is 10123122329. The reversal of 10123122324 is 42322132101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10123122324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123122329) 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, 790557 + ... + 803259.

It is an arithmetic number, because the mean of its divisors is an integer number (288126720).

Almost surely, 210123122324 is an apocalyptic number.

10123122324 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 10123122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830082560).

10123122324 is an abundant number, since it is smaller than the sum of its proper divisors (17537042796).

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

10123122324 is a wasteful number, since it uses less digits than its factorization.

10123122324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10123122324 its reverse (42322132101), we get a palindrome (52445254425).

The spelling of 10123122324 in words is "ten billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 179 212 318 358 371 537 636 716 742 1074 1113 1253 1484 2148 2226 2506 3759 4452 5012 7518 9487 12703 15036 18974 25406 28461 37948 38109 50812 56922 66409 76218 88921 113844 132818 152436 177842 199227 265636 266763 355684 398454 533526 673259 796908 1067052 1346518 2019777 2273837 2693036 4039554 4547674 4712813 6821511 8079108 9095348 9425626 13643022 14138439 15916859 18851252 27286044 28276878 31833718 47750577 56553756 63667436 95501154 120513361 191002308 241026722 361540083 482053444 723080166 843593527 1446160332 1687187054 2530780581 3374374108 5061561162 10123122324