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103022132202131 = 2111428134189241
BaseRepresentation
bin10111011011001010110101…
…100110000000101010010011
3111111202211010112020011102212
4113123022311212000222103
5102000403311320432011
61003035414132102335
730462050322050102
oct2733126546005223
9444684115204385
10103022132202131
112a90a49393499a
12b67a4677649ab
134563c3a004a2c
141b62425260039
15bd9c9705808b
hex5db2b5980a93

103022132202131 has 8 divisors (see below), whose sum is σ = 103517639899728. Its totient is φ = 102526692912000.

The previous prime is 103022132202071. The next prime is 103022132202217. The reversal of 103022132202131 is 131202231220301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103022132202131 is a prime.

It is a super-2 number, since 2×1030221322021312 (a number of 29 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 = 103022132202097 and 103022132202106.

It is not an unprimeable number, because it can be changed into a prime (103022132202331) 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 7 ways as a sum of consecutive naturals, for example, 14081330 + ... + 20107911.

It is an arithmetic number, because the mean of its divisors is an integer number (12939704987466).

Almost surely, 2103022132202131 is an apocalyptic number.

103022132202131 is a deficient number, since it is larger than the sum of its proper divisors (495507697597).

103022132202131 is a wasteful number, since it uses less digits than its factorization.

103022132202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34203733.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 103022132202131 its reverse (131202231220301), we get a palindrome (234224363422432).

The spelling of 103022132202131 in words is "one hundred three trillion, twenty-two billion, one hundred thirty-two million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 211 14281 3013291 34189241 7213929851 488256550721 103022132202131