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130132312121310 = 23523199947726401
BaseRepresentation
bin11101100101101011001010…
…001111001101111111011110
3122001202112020120121110120020
4131211223022033031333132
5114024041433400340220
61140433543041533010
736260515002163332
oct3545531217157736
9561675216543506
10130132312121310
1138511892717314
1212718620044166
13577c569487125
14241c61a76d7c2
15100a0903c5040
hex765aca3cdfde

130132312121310 has 64 divisors (see below), whose sum is σ = 327534244531200. Its totient is φ = 33026369587200.

The previous prime is 130132312121309. The next prime is 130132312121311. The reversal of 130132312121310 is 13121213231031.

130132312121310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130132312121309) and next prime (130132312121311).

It is a super-2 number, since 2×1301323121213102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132312121311) 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, 473725891 + ... + 474000510.

It is an arithmetic number, because the mean of its divisors is an integer number (5117722570800).

Almost surely, 2130132312121310 is an apocalyptic number.

130132312121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130132312121310 is an abundant number, since it is smaller than the sum of its proper divisors (197401932409890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130132312121310 is a wasteful number, since it uses less digits than its factorization.

130132312121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947726633.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 130132312121310 its reverse (13121213231031), we get a palindrome (143253525352341).

The spelling of 130132312121310 in words is "one hundred thirty trillion, one hundred thirty-two billion, three hundred twelve million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 199 230 345 398 597 690 995 1194 1990 2985 4577 5970 9154 13731 22885 27462 45770 68655 137310 947726401 1895452802 2843179203 4738632005 5686358406 9477264010 14215896015 21797707223 28431792030 43595414446 65393121669 108988536115 130786243338 188597553799 217977072230 326965608345 377195107598 565792661397 653931216690 942987768995 1131585322794 1885975537990 2828963306985 4337743737377 5657926613970 8675487474754 13013231212131 21688718686885 26026462424262 43377437373770 65066156060655 130132312121310