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123531311064140 = 225717320939243583
BaseRepresentation
bin11100000101100111011111…
…111010100010010001001100
3121012101110220110112212220022
4130011213133322202101030
5112142414111113023030
61114421300104241312
735006562022031120
oct3405473772422114
9535343813485808
10123531311064140
11363a73757062a1
1211a31242170238
1353c0c4cc7c715
142270d39795580
15e434ed77ede5
hex7059dfea244c

123531311064140 has 96 divisors (see below), whose sum is σ = 298204340797440. Its totient is φ = 42106590026496.

The previous prime is 123531311064097. The next prime is 123531311064149. The reversal of 123531311064140 is 41460113135321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 123531311064140.

It is not an unprimeable number, because it can be changed into a prime (123531311064149) 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, 507020789 + ... + 507264371.

It is an arithmetic number, because the mean of its divisors is an integer number (3106295216640).

Almost surely, 2123531311064140 is an apocalyptic number.

123531311064140 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 123531311064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149102170398720).

123531311064140 is an abundant number, since it is smaller than the sum of its proper divisors (174673029733300).

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

123531311064140 is a wasteful number, since it uses less digits than its factorization.

123531311064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264711 (or 264709 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 123531311064140 its reverse (41460113135321), we get a palindrome (164991424199461).

The spelling of 123531311064140 in words is "one hundred twenty-three trillion, five hundred thirty-one billion, three hundred eleven million, sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 20939 24220 41878 83756 104695 146573 209390 243583 293146 418780 487166 586292 732865 974332 1217915 1465730 1705081 2435830 2931460 3410162 3622447 4871660 6820324 7244894 8525405 14489788 17050810 18112235 25357129 34101620 36224470 42139859 50714258 72448940 84279718 101428516 126785645 168559436 210699295 253571290 294979013 421398590 507142580 589958026 842797180 1179916052 1474895065 2949790130 5100384437 5899580260 10200768874 20401537748 25501922185 35702691059 51003844370 71405382118 102007688740 142810764236 178513455295 357026910590 714053821180 882366507601 1764733015202 3529466030404 4411832538005 6176565553207 8823665076010 12353131106414 17647330152020 24706262212828 30882827766035 61765655532070 123531311064140