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123313401240 = 233533112172551
BaseRepresentation
bin111001011011000001…
…1010010110110011000
3102210021220220211111220
41302312003102312120
54010021212314430
6132352134052040
711623551421221
oct1626603226630
9383256824456
10123313401240
114832a222557
121ba954aa020
13b8227ac413
145d7b410248
15331ad04110
hex1cb60d2d98

123313401240 has 128 divisors (see below), whose sum is σ = 371508318720. Its totient is φ = 32744448000.

The previous prime is 123313401227. The next prime is 123313401251. The reversal of 123313401240 is 42104313321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123313401240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48337965 + ... + 48340515.

It is an arithmetic number, because the mean of its divisors is an integer number (2902408740).

Almost surely, 2123313401240 is an apocalyptic number.

123313401240 is a gapful number since it is divisible by the number (10) 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 123313401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185754159360).

123313401240 is an abundant number, since it is smaller than the sum of its proper divisors (248194917480).

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

123313401240 is a wasteful number, since it uses less digits than its factorization.

123313401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123313401240 its reverse (42104313321), we get a palindrome (165417714561).

The spelling of 123313401240 in words is "one hundred twenty-three billion, three hundred thirteen million, four hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1217 1324 1655 1986 2434 2551 2648 3310 3651 3972 4868 4965 5102 6085 6620 7302 7653 7944 9736 9930 10204 12170 12755 13240 14604 15306 18255 19860 20408 24340 25510 29208 30612 36510 38265 39720 48680 51020 61224 73020 76530 102040 146040 153060 306120 402827 805654 844381 1208481 1611308 1688762 2014135 2416962 2533143 3104567 3222616 3377524 4028270 4221905 4833924 5066286 6042405 6209134 6755048 8056540 8443810 9313701 9667848 10132572 12084810 12418268 12665715 15522835 16113080 16887620 18627402 20265144 24169620 24836536 25331430 31045670 33775240 37254804 46568505 48339240 50662860 62091340 74509608 93137010 101325720 124182680 186274020 372548040 1027611677 2055223354 3082835031 4110446708 5138058385 6165670062 8220893416 10276116770 12331340124 15414175155 20552233540 24662680248 30828350310 41104467080 61656700620 123313401240