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123350400013256 = 231319323092661497
BaseRepresentation
bin11100000010111111000000…
…110001101001001111001000
3121011202011221110111021210022
4130002333000301221033020
5112131433104400411011
61114202220320440012
734660525621335023
oct3402770061511710
9534664843437708
10123350400013256
113633767a0840a9
1211a02173479008
1353a9b7b672810
1422662969a41ba
15e3d9610b58db
hex702fc0c693c8

123350400013256 has 64 divisors (see below), whose sum is σ = 250471979881200. Its totient is φ = 56611425189888.

The previous prime is 123350400013231. The next prime is 123350400013297. The reversal of 123350400013256 is 652310004053321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77775290140900 + 45575109872356 = 8819030^2 + 6750934^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45015500 + ... + 47676996.

Almost surely, 2123350400013256 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 123350400013256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125235989940600).

123350400013256 is an abundant number, since it is smaller than the sum of its proper divisors (127121579867944).

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

123350400013256 is a wasteful number, since it uses less digits than its factorization.

123350400013256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664018 (or 2664014 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 123350400013256 its reverse (652310004053321), we get a palindrome (775660404066577).

The spelling of 123350400013256 in words is "one hundred twenty-three trillion, three hundred fifty billion, four hundred million, thirteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1544 2309 2509 4618 5018 9236 10036 18472 20072 30017 60034 120068 240136 445637 891274 1782548 2661497 3565096 5322994 5793281 10645988 11586562 21291976 23173124 34599461 46346248 69198922 138397844 276795688 513668921 1027337842 2054675684 4109351368 6145396573 6677695973 12290793146 13355391946 24581586292 26710783892 49163172584 53421567784 79890155449 159780310898 319560621796 639121243592 1186061538589 2372123077178 4744246154356 9488492308712 15418800001657 30837600003314 61675200006628 123350400013256