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31035140542001 = 19293116317962273
BaseRepresentation
bin1110000111001111011101…
…00001110000111000110001
311001212221010022020200021202
413003213232201300320301
513031434431434321001
6150001202521300545
76352133500000061
oct703475641607061
9131787108220252
1031035140542001
119985a2482a2a2
123592999934755
1314417a7a986bb
147941748453a1
1538c4665d296b
hex1c39ee870e31

31035140542001 has 64 divisors (see below), whose sum is σ = 35295906816000. Its totient is φ = 27150611927040.

The previous prime is 31035140541997. The next prime is 31035140542019. The reversal of 31035140542001 is 10024504153013.

It is a cyclic number.

It is not a de Polignac number, because 31035140542001 - 22 = 31035140541997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31035140542051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498341201 + ... + 498403473.

It is an arithmetic number, because the mean of its divisors is an integer number (551498544000).

Almost surely, 231035140542001 is an apocalyptic number.

31035140542001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31035140542001 is a deficient number, since it is larger than the sum of its proper divisors (4260766273999).

31035140542001 is a wasteful number, since it uses less digits than its factorization.

31035140542001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62694.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 31035140542001 its reverse (10024504153013), we get a palindrome (41059644695014).

The spelling of 31035140542001 in words is "thirty-one trillion, thirty-five billion, one hundred forty million, five hundred forty-two thousand, one".

Divisors: 1 19 29 31 163 179 551 589 899 3097 3401 4727 5053 5191 5549 17081 29177 62273 89813 96007 98629 105431 146537 160921 554363 846133 904487 1183187 1805917 1930463 2784203 3057499 10150499 11146867 16076527 17185253 26230123 34312423 36678797 55983427 192859481 211790473 294364471 314665469 323259143 345552877 498372337 1063685113 1816939321 5592924949 5978643911 6141923717 6565504663 9125298601 10021033433 34521847099 52691240309 56325118951 173380673419 190399635227 1001133565871 1070177260069 1633428449579 31035140542001