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13123120131030 = 2357134807003711
BaseRepresentation
bin1011111011110111011011…
…1010011110101111010110
31201110120001210202012220110
42332331312322132233112
53210002122223143110
643524402252143450
72523054102424620
oct276756672365726
951416053665813
1013123120131030
1141aa5362164a8
12157b422467b86
137426743c8760
1433523b8c5c10
1517b568510a20
hexbef76e9ebd6

13123120131030 has 64 divisors (see below), whose sum is σ = 38763677933568. Its totient is φ = 2768834136960.

The previous prime is 13123120131013. The next prime is 13123120131059. The reversal of 13123120131030 is 3013102132131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13123120130988 and 13123120131006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403499126 + ... + 2403504585.

It is an arithmetic number, because the mean of its divisors is an integer number (605682467712).

Almost surely, 213123120131030 is an apocalyptic number.

13123120131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13123120131030 is an abundant number, since it is smaller than the sum of its proper divisors (25640557802538).

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

13123120131030 is a wasteful number, since it uses less digits than its factorization.

13123120131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807003741.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13123120131030 its reverse (3013102132131), we get a palindrome (16136222263161).

The spelling of 13123120131030 in words is "thirteen trillion, one hundred twenty-three billion, one hundred twenty million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4807003711 9614007422 14421011133 24035018555 28842022266 33649025977 48070037110 62491048243 67298051954 72105055665 100947077931 124982096486 144210111330 168245129885 187473144729 201894155862 312455241215 336490259770 374946289458 437437337701 504735389655 624910482430 874874675402 937365723645 1009470779310 1312312013103 1874731447290 2187186688505 2624624026206 4374373377010 6561560065515 13123120131030