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31301120103 = 31121737137089
BaseRepresentation
bin11101001001101100…
…010011000001100111
32222210102120122121120
4131021230103001213
51003101041320403
622213551345023
72155446062631
oct351154230147
988712518546
1031301120103
1112302736900
126096822173
132c4ab02b56
14172d17ba51
15c32e8ae53
hex749b13067

31301120103 has 48 divisors (see below), whose sum is σ = 49885405920. Its totient is φ = 17371791360.

The previous prime is 31301120089. The next prime is 31301120111. The reversal of 31301120103 is 30102110313.

It is a de Polignac number, because none of the positive numbers 2k-31301120103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31301120153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159783 + ... + 296871.

It is an arithmetic number, because the mean of its divisors is an integer number (1039279290).

Almost surely, 231301120103 is an apocalyptic number.

31301120103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

31301120103 is a deficient number, since it is larger than the sum of its proper divisors (18584285817).

31301120103 is a wasteful number, since it uses less digits than its factorization.

31301120103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137168 (or 137157 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31301120103 its reverse (30102110313), we get a palindrome (61403230416).

The spelling of 31301120103 in words is "thirty-one billion, three hundred one million, one hundred twenty thousand, one hundred three".

Divisors: 1 3 11 17 33 37 51 111 121 187 363 407 561 629 1221 1887 2057 4477 6171 6919 13431 20757 76109 137089 228327 411267 1507979 2330513 4523937 5072293 6991539 15216879 16587769 25635643 49763307 55795223 76906929 86228981 167385669 258686943 281992073 613747453 845976219 948518791 1841242359 2845556373 10433706701 31301120103