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102122312131 = 722992977359
BaseRepresentation
bin101111100011011110…
…1101101000111000011
3100202121002010222011201
41133012331231013003
53133121302442011
6114525255322031
710243454221300
oct1370675550703
9322532128151
10102122312131
113a345423674
1217960680317
139826410238
144d2ac780a7
1529ca70ccc1
hex17c6f6d1c3

102122312131 has 24 divisors (see below), whose sum is σ = 123025608000. Its totient is φ = 84422951424.

The previous prime is 102122312119. The next prime is 102122312137. The reversal of 102122312131 is 131213221201.

It is not a de Polignac number, because 102122312131 - 211 = 102122310083 is a prime.

It is a super-2 number, since 2×1021223121312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122312099 and 102122312108.

It is not an unprimeable number, because it can be changed into a prime (102122312137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281430 + ... + 1358788.

It is an arithmetic number, because the mean of its divisors is an integer number (5126067000).

Almost surely, 2102122312131 is an apocalyptic number.

102122312131 is a deficient number, since it is larger than the sum of its proper divisors (20903295869).

102122312131 is an equidigital number, since it uses as much as digits as its factorization.

102122312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78331 (or 78324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102122312131 its reverse (131213221201), we get a palindrome (233335533332).

The spelling of 102122312131 in words is "one hundred two billion, one hundred twenty-two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 29 49 203 929 1421 6503 26941 45521 77359 188587 541513 1320109 2243411 3790591 15703877 71866511 109927139 503065577 2084128819 3521459039 14588901733 102122312131