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2137122231531 = 372171945010051
BaseRepresentation
bin11111000110010110011…
…010010101010011101011
321120022021201111221111220
4133012112122111103223
5240003311242402111
64313440322153123
7310254611145600
oct37062632252353
97508251457456
102137122231531
1175439186a981
122a6231ab27a3
131266b6b6a691
1475619c126a7
153a8d1251e06
hex1f1966954eb

2137122231531 has 48 divisors (see below), whose sum is σ = 3694425068160. Its totient is φ = 1088883129600.

The previous prime is 2137122231509. The next prime is 2137122231533. The reversal of 2137122231531 is 1351322217312.

It is not a de Polignac number, because 2137122231531 - 25 = 2137122231499 is a prime.

It is a super-2 number, since 2×21371222315312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2137122231492 and 2137122231501.

It is not an unprimeable number, because it can be changed into a prime (2137122231533) 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 47 ways as a sum of consecutive naturals, for example, 22457545 + ... + 22552506.

It is an arithmetic number, because the mean of its divisors is an integer number (76967188920).

Almost surely, 22137122231531 is an apocalyptic number.

2137122231531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2137122231531 is a deficient number, since it is larger than the sum of its proper divisors (1557302836629).

2137122231531 is a wasteful number, since it uses less digits than its factorization.

2137122231531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45010104 (or 45010097 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

Adding to 2137122231531 its reverse (1351322217312), we get a palindrome (3488444448843).

The spelling of 2137122231531 in words is "two trillion, one hundred thirty-seven billion, one hundred twenty-two million, two hundred thirty-one thousand, five hundred thirty-one".

Divisors: 1 3 7 17 19 21 49 51 57 119 133 147 323 357 399 833 931 969 2261 2499 2793 6783 15827 47481 45010051 135030153 315070357 765170867 855190969 945211071 2205492499 2295512601 2565572907 5356196069 5986336783 6616477497 14538246473 16068588207 17959010349 37493372483 41904357481 43614739419 101767725311 112480117449 125713072443 305303175933 712374077177 2137122231531