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13251013032540 = 2235438575993059
BaseRepresentation
bin1100000011010011110111…
…1011001011101001011100
31201220210011212210202210110
43000310331323023221130
53214101033314020130
644103233101010020
72535232312231653
oct300647573135134
951823155722713
1013251013032540
1142497a5449318
1215a0175553910
1375174689843a
1433b4d11b819a
1517ea513a8ab0
hexc0d3decba5c

13251013032540 has 96 divisors (see below), whose sum is σ = 38010000188160. Its totient is φ = 3447398739456.

The previous prime is 13251013032533. The next prime is 13251013032617. The reversal of 13251013032540 is 4523031015231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13251013032498 and 13251013032507.

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, 785470 + ... + 5207589.

It is an arithmetic number, because the mean of its divisors is an integer number (395937501960).

Almost surely, 213251013032540 is an apocalyptic number.

13251013032540 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 13251013032540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005000094080).

13251013032540 is an abundant number, since it is smaller than the sum of its proper divisors (24758987155620).

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

13251013032540 is a wasteful number, since it uses less digits than its factorization.

13251013032540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993971 (or 5993969 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13251013032540 its reverse (4523031015231), we get a palindrome (17774044047771).

The spelling of 13251013032540 in words is "thirteen trillion, two hundred fifty-one billion, thirteen million, thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 857 860 1290 1714 2571 2580 3428 4285 5142 8570 10284 12855 17140 25710 36851 51420 73702 110553 147404 184255 221106 368510 442212 552765 737020 1105530 2211060 5993059 11986118 17979177 23972236 29965295 35958354 59930590 71916708 89895885 119861180 179791770 257701537 359583540 515403074 773104611 1030806148 1288507685 1546209222 2577015370 3092418444 3865523055 5136051563 5154030740 7731046110 10272103126 15408154689 15462092220 20544206252 25680257815 30816309378 51360515630 61632618756 77040773445 102721031260 154081546890 220850217209 308163093780 441700434418 662550651627 883400868836 1104251086045 1325101303254 2208502172090 2650202606508 3312753258135 4417004344180 6625506516270 13251013032540