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123501201340 = 225117111876661
BaseRepresentation
bin111001100000100111…
…1101100011110111100
3102210210000022001211011
41303001033230132330
54010412301420330
6132422523205004
711631321614326
oct1630117543674
9383700261734
10123501201340
1148416232550
121bb28376764
13b85268473a
145d98338616
15332c54d82a
hex1cc13ec7bc

123501201340 has 96 divisors (see below), whose sum is σ = 287199779328. Its totient is φ = 44233056000.

The previous prime is 123501201311. The next prime is 123501201349. The reversal of 123501201340 is 43102105321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123501201349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18537610 + ... + 18544270.

It is an arithmetic number, because the mean of its divisors is an integer number (2991664368).

Almost surely, 2123501201340 is an apocalyptic number.

123501201340 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 123501201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143599889664).

123501201340 is an abundant number, since it is smaller than the sum of its proper divisors (163698577988).

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

123501201340 is a wasteful number, since it uses less digits than its factorization.

123501201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 123501201340 its reverse (43102105321), we get a palindrome (166603306661).

The spelling of 123501201340 in words is "one hundred twenty-three billion, five hundred one million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1187 1420 1562 2374 3124 3905 4748 5935 6661 7810 11870 13057 13322 15620 23740 26114 26644 33305 52228 65285 66610 73271 84277 130570 133220 146542 168554 261140 293084 337108 366355 421385 472931 732710 842770 927047 945862 1465420 1685540 1854094 1891724 2364655 3708188 4635235 4729310 5202241 7906607 9270470 9458620 10404482 15813214 18540940 20808964 26011205 31626428 39533035 52022410 79066070 86972677 104044820 158132140 173945354 347890708 434863385 561369097 869726770 1122738194 1739453540 2245476388 2806845485 5613690970 6175060067 11227381940 12350120134 24700240268 30875300335 61750600670 123501201340