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31043100134013 = 31110711377801671
BaseRepresentation
bin1110000111011110010001…
…11101001100101001111101
311001220200200000121211211220
413003233020331030221331
513032102232113242023
6150005000415103553
76352534650262512
oct703571075145175
9131820600554756
1031043100134013
119989339808610
12359443b511bb9
131442475b31366
147946cb9d1309
1538c78029a3e3
hex1c3bc8f4ca7d

31043100134013 has 32 divisors (see below), whose sum is σ = 45978920911872. Its totient is φ = 18473228524800.

The previous prime is 31043100134003. The next prime is 31043100134023.

31043100134013 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31043100134003) and next prime (31043100134023).

It is not a de Polignac number, because 31043100134013 - 28 = 31043100133757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31043100134003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38501833 + ... + 39299838.

It is an arithmetic number, because the mean of its divisors is an integer number (1436841278496).

Almost surely, 231043100134013 is an apocalyptic number.

31043100134013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31043100134013 is a deficient number, since it is larger than the sum of its proper divisors (14935820777859).

31043100134013 is a wasteful number, since it uses less digits than its factorization.

31043100134013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77801905.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 31043100 and 134013, that added together give a palindrome (31177113).

The spelling of 31043100134013 in words is "thirty-one trillion, forty-three billion, one hundred million, one hundred thirty-four thousand, thirteen".

Divisors: 1 3 11 33 107 113 321 339 1177 1243 3531 3729 12091 36273 133001 399003 77801671 233405013 855818381 2567455143 8324778797 8791588823 24974336391 26374766469 91572566767 96707477053 274717700301 290122431159 940700004061 2822100012183 10347700044671 31043100134013