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13124442111225 = 35247110314892267
BaseRepresentation
bin1011111011111100010110…
…1101011011110011111001
31201110200110221021202210220
42332333011231123303321
53210012324140024400
643525141354530253
72523131624162364
oct276770555336371
951420427252726
1013124442111225
114200054466815
12157b731136989
1374282525b263
143353252c90db
1517b5e45e37a0
hexbefc5b5bcf9

13124442111225 has 96 divisors (see below), whose sum is σ = 22205538754560. Its totient is φ = 6836947645440.

The previous prime is 13124442111181. The next prime is 13124442111229. The reversal of 13124442111225 is 52211124442131.

It is a happy number.

It is not a de Polignac number, because 13124442111225 - 218 = 13124441849081 is a prime.

It is a super-2 number, since 2×131244421112252 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13124442111229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5789342542 + ... + 5789344808.

It is an arithmetic number, because the mean of its divisors is an integer number (231307695360).

Almost surely, 213124442111225 is an apocalyptic number.

13124442111225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13124442111225 is a deficient number, since it is larger than the sum of its proper divisors (9081096643335).

13124442111225 is a wasteful number, since it uses less digits than its factorization.

13124442111225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4914 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

Adding to 13124442111225 its reverse (52211124442131), we get a palindrome (65335566553356).

The spelling of 13124442111225 in words is "thirteen trillion, one hundred twenty-four billion, four hundred forty-two million, one hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 141 235 705 1103 1175 1489 2267 3309 3525 4467 5515 6801 7445 11335 16545 22335 27575 34005 37225 51841 56675 69983 82725 106549 111675 155523 170025 209949 259205 319647 349915 532745 777615 1049745 1296025 1598235 1642367 1749575 2500501 2663725 3375563 3888075 4927101 5248725 7501503 7991175 8211835 10126689 12502505 16877815 24635505 37507515 41059175 50633445 62512525 77191249 84389075 117523547 123177525 158651461 187537575 231573747 253167225 352570641 385956245 475954383 587617735 793257305 1157868735 1762853205 1929781225 2379771915 2938088675 3723245989 3966286525 5789343675 8814266025 11169737967 11898859575 18616229945 55848689835 93081149725 174992561483 279243449175 524977684449 874962807415 2624888422245 4374814037075 13124442111225