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230130121300031 = 29315911177388183
BaseRepresentation
bin110100010100110101011000…
…001000011101100000111111
31010011211020001211111202001002
4310110311120020131200333
5220130422442023100111
62133240152423440515
766321231636555551
oct6424653010354077
91104736054452032
10230130121300031
11673656aaaa2a97
1221988913bb613b
139b5423c763504
1440b85006134d1
151b9132c68c63b
hexd14d5821d83f

230130121300031 has 32 divisors (see below), whose sum is σ = 249933355315200. Its totient is φ = 211363049399040.

The previous prime is 230130121300007. The next prime is 230130121300073. The reversal of 230130121300031 is 130003121031032.

It is not a de Polignac number, because 230130121300031 - 210 = 230130121299007 is a prime.

It is a super-2 number, since 2×2301301213000312 (a number of 30 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 = 230130121299976 and 230130121300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230130121300631) 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 31 ways as a sum of consecutive naturals, for example, 592645166 + ... + 593033348.

It is an arithmetic number, because the mean of its divisors is an integer number (7810417353600).

Almost surely, 2230130121300031 is an apocalyptic number.

230130121300031 is a deficient number, since it is larger than the sum of its proper divisors (19803234015169).

230130121300031 is a wasteful number, since it uses less digits than its factorization.

230130121300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399479.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 230130121300031 its reverse (130003121031032), we get a palindrome (360133242331063).

The spelling of 230130121300031 in words is "two hundred thirty trillion, one hundred thirty billion, one hundred twenty-one million, three hundred thousand, thirty-one".

Divisors: 1 29 31 59 899 1711 1829 11177 53041 324133 346487 388183 659443 10048123 11257307 12033673 19123847 20442733 22902797 348976517 592839257 664181113 709986707 4338721391 20589614503 125822920339 134500363121 255984562069 3900510530509 7423552300001 7935521424139 230130121300031