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1301324231031 = 311231374176231
BaseRepresentation
bin10010111011111100111…
…101111111000101110111
311121101221112010100200220
4102323330331333011313
5132310103000343111
62433453050305423
7163006012312266
oct22737475770567
94541845110626
101301324231031
1146198566a600
12190256a28273
13959395675b6
1446dad3b65dd
1523cb52eee06
hex12efcf7f177

1301324231031 has 96 divisors (see below), whose sum is σ = 2071246614528. Its totient is φ = 724489920000.

The previous prime is 1301324231029. The next prime is 1301324231033.

1301324231031 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1301324231029) and next prime (1301324231033).

It is not a de Polignac number, because 1301324231031 - 21 = 1301324231029 is a prime.

It is a super-2 number, since 2×13013242310312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301324230992 and 1301324231010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301324231033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17032686 + ... + 17108916.

It is an arithmetic number, because the mean of its divisors is an integer number (21575485568).

Almost surely, 21301324231031 is an apocalyptic number.

1301324231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1301324231031 is a deficient number, since it is larger than the sum of its proper divisors (769922383497).

1301324231031 is a wasteful number, since it uses less digits than its factorization.

1301324231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76365 (or 76354 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 1301324231031 in words is "one trillion, three hundred one billion, three hundred twenty-four million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 11 31 33 37 41 93 111 121 123 341 363 407 451 1023 1147 1221 1271 1353 1517 3441 3751 3813 4477 4551 4961 11253 12617 13431 13981 14883 16687 37851 41943 47027 50061 76231 138787 141081 153791 183557 228693 416361 461373 517297 550671 838541 1551891 2363161 2515623 2820547 3125471 5690267 7089483 8461641 9223951 9376413 17070801 25994771 27671853 31026017 34380181 77984313 87436957 93078051 96889601 103140543 115642427 262310871 285942481 290668803 341286187 346927281 378181991 857827443 961806527 1023858561 1065785611 1134545973 1272066697 2885419581 3197356833 3584915237 3816200091 10579871797 10754745711 11723641721 13992733667 31739615391 35170925163 39434067607 41978201001 118302202821 433774743677 1301324231031