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123013203015344 = 24291636781239857
BaseRepresentation
bin11011111110000100111110…
…010001001011011010110000
3121010112221120121211222112212
4123332010332101023122300
5112110422014432442334
61113343252454511252
734624260563212325
oct3376047621133260
9533487517758485
10123013203015344
1136217674177814
1211968948965528
135384131400195
142253c2965ab4c
15e34cc804dece
hex6fe13e44b6b0

123013203015344 has 80 divisors (see below), whose sum is σ = 248106870129120. Its totient is φ = 59012404899840.

The previous prime is 123013203015341. The next prime is 123013203015377. The reversal of 123013203015344 is 443510302310321.

It is a self number, because there is not a number n which added to its sum of digits gives 123013203015344.

It is not an unprimeable number, because it can be changed into a prime (123013203015341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512740664 + ... + 512980520.

It is an arithmetic number, because the mean of its divisors is an integer number (3101335876614).

Almost surely, 2123013203015344 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 123013203015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124053435064560).

123013203015344 is an abundant number, since it is smaller than the sum of its proper divisors (125093667113776).

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

123013203015344 is a wasteful number, since it uses less digits than its factorization.

123013203015344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246838 (or 246832 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 123013203015344 its reverse (443510302310321), we get a palindrome (566523505325665).

The spelling of 123013203015344 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 163 232 326 464 652 1304 2608 4727 6781 9454 13562 18908 27124 37816 54248 75632 108496 196649 239857 393298 479714 786596 959428 1105303 1573192 1918856 2210606 3146384 3837712 4421212 6955853 8842424 13911706 17684848 27823412 32053787 39096691 55646824 64107574 78193382 111293648 128215148 156386764 256430296 312773528 512860592 625547056 1133804039 1626470317 2267608078 3252940634 4535216156 6505881268 9070432312 13011762536 18140864624 26023525072 47167639193 94335278386 188670556772 265114661671 377341113544 530229323342 754682227088 1060458646684 2120917293368 4241834586736 7688325188459 15376650376918 30753300753836 61506601507672 123013203015344