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102122130331 = 131071633131439
BaseRepresentation
bin101111100011011110…
…1000000101110011011
3100202121001210201210101
41133012331000232123
53133121231132311
6114525251400231
710243452533254
oct1370675005633
9322531721711
10102122130331
113a34530a021
12179605b3077
139826378570
144d2ac2bb2b
1529ca6c3ec1
hex17c6f40b9b

102122130331 has 32 divisors (see below), whose sum is σ = 112121210880. Its totient is φ = 92451849984.

The previous prime is 102122130323. The next prime is 102122130377. The reversal of 102122130331 is 133031221201.

It is not a de Polignac number, because 102122130331 - 23 = 102122130323 is a prime.

It is a super-2 number, since 2×1021221303312 (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 = 102122130299 and 102122130308.

It is not an unprimeable number, because it can be changed into a prime (102122130311) 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, 70966710 + ... + 70968148.

It is an arithmetic number, because the mean of its divisors is an integer number (3503787840).

Almost surely, 2102122130331 is an apocalyptic number.

102122130331 is a deficient number, since it is larger than the sum of its proper divisors (9999080549).

102122130331 is a wasteful number, since it uses less digits than its factorization.

102122130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102122130331 its reverse (133031221201), we get a palindrome (235153351532).

The spelling of 102122130331 in words is "one hundred two billion, one hundred twenty-two million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 13 107 163 313 1391 1439 2119 4069 17441 18707 33491 51019 153973 226733 234557 435383 450407 663247 2001649 3049241 5459033 5855291 25097599 48193549 70967429 73416341 326268787 626516137 954412433 7855548487 102122130331