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31361216313 = 378916779677
BaseRepresentation
bin11101001101010001…
…100010111100111001
32222221121122212010010
4131031101202330321
51003211432410223
622223535412133
72160105640350
oct351521427471
988847585103
1031361216313
1112333652a99
1260b2984049
132c5a3b483b
141737142997
15c383ac393
hex74d462f39

31361216313 has 16 divisors (see below), whose sum is σ = 48325472640. Its totient is φ = 17719337856.

The previous prime is 31361216269. The next prime is 31361216351.

31361216313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31361216313 - 29 = 31361215801 is a prime.

It is a super-4 number, since 4×313612163134 (a number of 43 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31361216713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8387970 + ... + 8391707.

It is an arithmetic number, because the mean of its divisors is an integer number (3020342040).

Almost surely, 231361216313 is an apocalyptic number.

It is an amenable number.

31361216313 is a deficient number, since it is larger than the sum of its proper divisors (16964256327).

31361216313 is a wasteful number, since it uses less digits than its factorization.

31361216313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16779776.

The product of its digits is 5832, while the sum is 30.

The spelling of 31361216313 in words is "thirty-one billion, three hundred sixty-one million, two hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 7 21 89 267 623 1869 16779677 50339031 117457739 352373217 1493391253 4480173759 10453738771 31361216313