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130310220222131 = 1674399007197341
BaseRepresentation
bin11101101000010000110110…
…011000110000111010110011
3122002101112110022002101121112
4131220100312120300322303
5114040000312334102011
61141051404433543535
736306413510116115
oct3550206630607263
9562345408071545
10130310220222131
11385802881536a4
1212746bb1114bab
13579327c8b8ac1
1424270967cb3b5
15100ea0411658b
hex768436630eb3

130310220222131 has 16 divisors (see below), whose sum is σ = 131404385925120. Its totient is φ = 129219859660320.

The previous prime is 130310220222103. The next prime is 130310220222151. The reversal of 130310220222131 is 131222022013031.

It is a cyclic number.

It is not a de Polignac number, because 130310220222131 - 234 = 130293040352947 is a prime.

It is a super-2 number, since 2×1303102202221312 (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 = 130310220222097 and 130310220222106.

It is not an unprimeable number, because it can be changed into a prime (130310220222151) 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 15 ways as a sum of consecutive naturals, for example, 660231521 + ... + 660428861.

It is an arithmetic number, because the mean of its divisors is an integer number (8212774120320).

Almost surely, 2130310220222131 is an apocalyptic number.

130310220222131 is a deficient number, since it is larger than the sum of its proper divisors (1094165702989).

130310220222131 is a wasteful number, since it uses less digits than its factorization.

130310220222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206954.

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

Adding to 130310220222131 its reverse (131222022013031), we get a palindrome (261532242235162).

The spelling of 130310220222131 in words is "one hundred thirty trillion, three hundred ten billion, two hundred twenty million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 167 439 9007 73313 197341 1504169 3954073 32955947 86632699 660330191 1777450387 14467660733 296834214629 780300719893 130310220222131