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214003020010031 = 71136773041131413
BaseRepresentation
bin110000101010001001110101…
…111111010001001000101111
31001001201111012102020102021022
4300222021311333101020233
5211022211141110310111
62035051344041524355
763035131222441220
oct6052116577211057
91031644172212238
10214003020010031
116220819782619a
12200032764a36bb
139254523ab21c5
143abbb311c7247
1519b1a9a1852db
hexc2a275fd122f

214003020010031 has 32 divisors (see below), whose sum is σ = 247186857610368. Its totient is φ = 181478247874560.

The previous prime is 214003020010007. The next prime is 214003020010037. The reversal of 214003020010031 is 130010020300412.

It is not a de Polignac number, because 214003020010031 - 214 = 214003019993647 is a prime.

It is a super-2 number, since 2×2140030200100312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214003020009991 and 214003020010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214003020010037) 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, 1628411081 + ... + 1628542493.

It is an arithmetic number, because the mean of its divisors is an integer number (7724589300324).

Almost surely, 2214003020010031 is an apocalyptic number.

214003020010031 is a deficient number, since it is larger than the sum of its proper divisors (33183837600337).

214003020010031 is a wasteful number, since it uses less digits than its factorization.

214003020010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135251.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 214003020010031 its reverse (130010020300412), we get a palindrome (344013040310443).

The spelling of 214003020010031 in words is "two hundred fourteen trillion, three billion, twenty million, ten thousand, thirty-one".

Divisors: 1 7 113 677 791 3041 4739 21287 76501 131413 343633 535507 919891 2058757 2405431 14411299 14849669 88966601 103947683 232639541 399626933 622766207 1628476787 2797388531 10053225913 45157843429 70372581391 270547433641 316104904003 1893832035487 30571860001433 214003020010031