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13003012132152 = 2337605312786863
BaseRepresentation
bin1011110100110111111111…
…1010110100110100111000
31201001002001021100200210120
42331031333322310310320
53201020132101212102
643353300141013240
72511302522323650
oct275157772646470
951032037320716
1013003012132152
1141636013a7209
1215600a2554220
13734242a29b33
1432d4c60a9360
15178388d256bc
hexbd37feb4d38

13003012132152 has 64 divisors (see below), whose sum is σ = 37157603834880. Its totient is φ = 3714532263552.

The previous prime is 13003012132151. The next prime is 13003012132169. The reversal of 13003012132152 is 25123121030031.

It is a happy number.

It is a super-2 number, since 2×130030121321522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003012132151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5376528 + ... + 7410335.

It is an arithmetic number, because the mean of its divisors is an integer number (580587559920).

Almost surely, 213003012132152 is an apocalyptic number.

13003012132152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13003012132152 is an abundant number, since it is smaller than the sum of its proper divisors (24154591702728).

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

13003012132152 is a wasteful number, since it uses less digits than its factorization.

13003012132152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12792932 (or 12792928 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13003012132152 its reverse (25123121030031), we get a palindrome (38126133162183).

The spelling of 13003012132152 in words is "thirteen trillion, three billion, twelve million, one hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6053 12106 18159 24212 36318 42371 48424 72636 84742 127113 145272 169484 254226 338968 508452 1016904 12786863 25573726 38360589 51147452 76721178 89508041 102294904 153442356 179016082 268524123 306884712 358032164 537048246 716064328 1074096492 2148192984 77398881739 154797763478 232196645217 309595526956 464393290434 541792172173 619191053912 928786580868 1083584344346 1625376516519 1857573161736 2167168688692 3250753033038 4334337377384 6501506066076 13003012132152