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31014124141 = 7311131095801
BaseRepresentation
bin11100111000100101…
…011111101001101101
32222001102112202011111
4130320211133221231
51002004103433031
622125300152021
72145362464000
oct347045375155
988042482144
1031014124141
1112175734560
126016698611
132c03509060
141702dd1537
15c17b9a1b1
hex73895fa6d

31014124141 has 64 divisors (see below), whose sum is σ = 42888384000. Its totient is φ = 22099392000.

The previous prime is 31014124121. The next prime is 31014124147. The reversal of 31014124141 is 14142141013.

It is not a de Polignac number, because 31014124141 - 217 = 31013993069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31014124147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5343441 + ... + 5349241.

It is an arithmetic number, because the mean of its divisors is an integer number (670131000).

Almost surely, 231014124141 is an apocalyptic number.

It is an amenable number.

31014124141 is a deficient number, since it is larger than the sum of its proper divisors (11874259859).

31014124141 is a wasteful number, since it uses less digits than its factorization.

31014124141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 31014124141 its reverse (14142141013), we get a palindrome (45156265154).

The spelling of 31014124141 in words is "thirty-one billion, fourteen million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 7 11 13 49 77 91 109 143 343 539 637 763 1001 1199 1417 3773 4459 5341 5801 7007 8393 9919 15587 37387 40607 49049 58751 63811 69433 75413 109109 284249 411257 446677 486031 527891 632309 763763 829543 1989743 3126739 3695237 4426163 5346341 5806801 6955399 8220017 21887173 25866659 30983141 40647607 48687793 57540119 90420187 216881987 284533249 340814551 402780833 632941309 2385701857 2819465831 4430589163 31014124141