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123114142104 = 23347563193861
BaseRepresentation
bin111001010101000101…
…1001011100110011000
3102202210000222102100220
41302222023023212120
54004114210021404
6132320255200040
711615611640622
oct1625213134630
9382700872326
10123114142104
11482377a6188
121ba3a816020
13b7c04243c5
145d5cb81c12
1533085944d9
hex1caa2cb998

123114142104 has 64 divisors (see below), whose sum is σ = 314893923840. Its totient is φ = 40093349760.

The previous prime is 123114142079. The next prime is 123114142127. The reversal of 123114142104 is 401241411321.

It is a happy number.

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

It is a congruent number.

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, 538134 + ... + 731994.

It is an arithmetic number, because the mean of its divisors is an integer number (4920217560).

Almost surely, 2123114142104 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 123114142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157446961920).

123114142104 is an abundant number, since it is smaller than the sum of its proper divisors (191779781736).

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

123114142104 is a wasteful number, since it uses less digits than its factorization.

123114142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194480 (or 194476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 123114142104 its reverse (401241411321), we get a palindrome (524355553425).

The spelling of 123114142104 in words is "one hundred twenty-three billion, one hundred fourteen million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 563 564 1126 1128 1689 2252 3378 4504 6756 13512 26461 52922 79383 105844 158766 193861 211688 317532 387722 581583 635064 775444 1163166 1550888 2326332 4652664 9111467 18222934 27334401 36445868 54668802 72891736 109143743 109337604 218287486 218675208 327431229 436574972 654862458 873149944 1309724916 2619449832 5129755921 10259511842 15389267763 20519023684 30778535526 41038047368 61557071052 123114142104