Search a number
-
+
103232112313312 = 2543181809512353
BaseRepresentation
bin10111011110001110011001…
…011000100100001111100000
3111112111220010101212000201201
4113132032121120210033200
5102012323331223011222
61003320102214410544
730513162656412133
oct2736163130441740
9445456111760651
10103232112313312
112a990547166364
12b6b30a9660a54
13457a991b69728
141b6c6649a821a
15be048675c427
hex5de3996243e0

103232112313312 has 96 divisors (see below), whose sum is σ = 209372560356960. Its totient is φ = 50075071119360.

The previous prime is 103232112313301. The next prime is 103232112313391. The reversal of 103232112313312 is 213313211232301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201230128 + ... + 201742480.

It is an arithmetic number, because the mean of its divisors is an integer number (2180964170385).

Almost surely, 2103232112313312 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 103232112313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104686280178480).

103232112313312 is an abundant number, since it is smaller than the sum of its proper divisors (106140448043648).

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

103232112313312 is a wasteful number, since it uses less digits than its factorization.

103232112313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513396 (or 513388 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 103232112313312 its reverse (213313211232301), we get a palindrome (316545323545613).

The spelling of 103232112313312 in words is "one hundred three trillion, two hundred thirty-two billion, one hundred twelve million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 172 181 344 362 688 724 809 1376 1448 1618 2896 3236 5792 6472 7783 12944 15566 25888 31132 34787 62264 69574 124528 139148 146429 249056 278296 292858 512353 556592 585716 1024706 1113184 1171432 2049412 2342864 4098824 4685728 6296447 8197648 12592894 16395296 22031179 25185788 44062358 50371576 88124716 92735893 100743152 176249432 185471786 201486304 352498864 370943572 414493577 704997728 741887144 828987154 1483774288 1657974308 2967548576 3315948616 3987643399 6631897232 7975286798 13263794464 15950573596 17823223811 31901147192 35646447622 63802294384 71292895244 75023337437 127604588768 142585790488 150046674874 285171580976 300093349748 570343161952 600186699496 1200373398992 2400746797984 3226003509791 6452007019582 12904014039164 25808028078328 51616056156656 103232112313312