Search a number
-
+
13127299856070 = 2354159180891551
BaseRepresentation
bin1011111100000111000000…
…0010110111011011000110
31201110221212002122020202120
42333001300002313123012
53210034202230343240
643530333122150410
72523262504463121
oct277016002673306
951427762566676
1013127299856070
1142012905a4814
1215801aa1b2406
13742b8c325b3a
14335516a613b8
1517b710437ad0
hexbf0700b76c6

13127299856070 has 64 divisors (see below), whose sum is σ = 32820963194880. Its totient is φ = 3357347168000.

The previous prime is 13127299856051. The next prime is 13127299856087. The reversal of 13127299856070 is 7065899272131.

It is a happy number.

13127299856070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131272998560702 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13127299855995 and 13127299856013.

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, 90373206 + ... + 90518345.

It is an arithmetic number, because the mean of its divisors is an integer number (512827549920).

Almost surely, 213127299856070 is an apocalyptic number.

13127299856070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13127299856070 is an abundant number, since it is smaller than the sum of its proper divisors (19693663338810).

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

13127299856070 is a wasteful number, since it uses less digits than its factorization.

13127299856070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180891661.

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 13127299856070 in words is "thirteen trillion, one hundred twenty-seven billion, two hundred ninety-nine million, eight hundred fifty-six thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 41 59 82 118 123 177 205 246 295 354 410 590 615 885 1230 1770 2419 4838 7257 12095 14514 24190 36285 72570 180891551 361783102 542674653 904457755 1085349306 1808915510 2713373265 5426746530 7416553591 10672601509 14833107182 21345203018 22249660773 32017804527 37082767955 44499321546 53363007545 64035609054 74165535910 106726015090 111248303865 160089022635 222496607730 320178045270 437576661869 875153323738 1312729985607 2187883309345 2625459971214 4375766618690 6563649928035 13127299856070