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130221101001131 = 7237330892306527
BaseRepresentation
bin11101100110111101110110…
…011101111010100110101011
3122002002000102102112220010122
4131212331312131322212223
5114032020303324014011
61140542425315433455
736300110164205300
oct3546756635724653
9562060372486118
10130221101001131
1138546505726938
121273187b2b588b
135787a493c053a
142422a408850a7
15100c53a26b3db
hex766f7677a9ab

130221101001131 has 24 divisors (see below), whose sum is σ = 151937042463360. Its totient is φ = 111282756947712.

The previous prime is 130221101001119. The next prime is 130221101001133. The reversal of 130221101001131 is 131100101122031.

It is not a de Polignac number, because 130221101001131 - 26 = 130221101001067 is a prime.

It is a super-2 number, since 2×1302211010011312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130221101001133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55304390 + ... + 57610916.

It is an arithmetic number, because the mean of its divisors is an integer number (6330710102640).

Almost surely, 2130221101001131 is an apocalyptic number.

130221101001131 is a deficient number, since it is larger than the sum of its proper divisors (21715941462229).

130221101001131 is a wasteful number, since it uses less digits than its factorization.

130221101001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310003 (or 2309996 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 130221101001131 its reverse (131100101122031), we get a palindrome (261321202123162).

The spelling of 130221101001131 in words is "one hundred thirty trillion, two hundred twenty-one billion, one hundred one million, one thousand, one hundred thirty-one".

Divisors: 1 7 49 373 2611 3089 18277 21623 151361 1152197 2306527 8065379 16145689 56457653 113019823 860334571 6022341997 7124861903 42156393979 49874033321 349118233247 2657573489819 18603014428733 130221101001131