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10232023200102 = 23311109213773951
BaseRepresentation
bin1001010011100101010000…
…0110111011000101100110
31100020011122021211001111000
42110321110012323011212
52320120140414400402
633432305423254130
72104145034116604
oct224712406730546
940204567731430
1010232023200102
113295416391450
12119304ba4a346
13592b4ca4a9c2
14275338232874
1512b259937c1c
hex94e541bb166

10232023200102 has 128 divisors (see below), whose sum is σ = 25044525158400. Its totient is φ = 3070687968000.

The previous prime is 10232023200073. The next prime is 10232023200163. The reversal of 10232023200102 is 20100232023201.

10232023200102 is a `hidden beast` number, since 10 + 2 + 320 + 2 + 320 + 0 + 10 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138325227 + ... + 138399177.

It is an arithmetic number, because the mean of its divisors is an integer number (195660352800).

Almost surely, 210232023200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232023200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522262579200).

10232023200102 is an abundant number, since it is smaller than the sum of its proper divisors (14812501958298).

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

10232023200102 is a wasteful number, since it uses less digits than its factorization.

10232023200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76219 (or 76213 counting only the distinct ones).

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

Adding to 10232023200102 its reverse (20100232023201), we get a palindrome (30332255223303).

The spelling of 10232023200102 in words is "ten trillion, two hundred thirty-two billion, twenty-three million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 654 981 1199 1962 2137 2398 2943 3597 4274 5886 6411 7194 10791 12822 19233 21582 23507 32373 38466 47014 57699 64746 70521 73951 115398 141042 147902 211563 221853 232933 423126 443706 465866 634689 665559 698799 813461 1269378 1331118 1397598 1626922 1996677 2096397 2440383 2562263 3993354 4192794 4880766 5124526 6289191 7321149 7686789 8060659 12578382 14642298 15373578 16121318 21963447 23060367 24181977 43926894 46120734 48363954 69181101 72545931 88667249 138362202 145091862 158033287 177334498 217637793 266001747 316066574 435275586 474099861 532003494 798005241 948199722 1422299583 1596010482 1738366157 2394015723 2844599166 3476732314 4266898749 4788031446 5215098471 8533797498 10430196942 15645295413 17225628283 31290590826 34451256566 46935886239 51676884849 93871772478 103353769698 155030654547 189481911113 310061309094 378963822226 465091963641 568445733339 930183927282 1136891466678 1705337200017 3410674400034 5116011600051 10232023200102