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13111133312420 = 225111312593641233
BaseRepresentation
bin1011111011001010110001…
…1100011001010110100100
31201102102010102102202000122
42332302230130121112210
53204303100111444140
643515101013101112
72522151051230603
oct276625434312644
951372112382018
1013111133312420
1141a5444a48240
121579038027798
137414b3bca890
14334821939a3a
1517b0b5ee5ab5
hexbecac7195a4

13111133312420 has 96 divisors (see below), whose sum is σ = 32372609351040. Its totient is φ = 4397443061760.

The previous prime is 13111133312377. The next prime is 13111133312429. The reversal of 13111133312420 is 2421333111131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13111133312420.

It is not an unprimeable number, because it can be changed into a prime (13111133312429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780124 + ... + 5421356.

It is an arithmetic number, because the mean of its divisors is an integer number (337214680740).

Almost surely, 213111133312420 is an apocalyptic number.

13111133312420 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 13111133312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186304675520).

13111133312420 is an abundant number, since it is smaller than the sum of its proper divisors (19261476038620).

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

13111133312420 is a wasteful number, since it uses less digits than its factorization.

13111133312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642525 (or 3642523 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 13111133312420 its reverse (2421333111131), we get a palindrome (15532466423551).

The spelling of 13111133312420 in words is "thirteen trillion, one hundred eleven billion, one hundred thirty-three million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1259 1430 2518 2860 5036 6295 12590 13849 16367 25180 27698 32734 55396 65468 69245 81835 138490 163670 180037 276980 327340 360074 720148 900185 1800370 3600740 3641233 7282466 14564932 18206165 36412330 40053563 47336029 72824660 80107126 94672058 160214252 189344116 200267815 236680145 400535630 473360290 520696319 801071260 946720580 1041392638 2082785276 2603481595 4584312347 5206963190 9168624694 10413926380 18337249388 22921561735 45843123470 50427435817 59596060511 91686246940 100854871634 119192121022 201709743268 238384242044 252137179085 297980302555 504274358170 595960605110 655556665621 1008548716340 1191921210220 1311113331242 2622226662484 3277783328105 6555566656210 13111133312420