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1302314321121 = 311314727085841
BaseRepresentation
bin10010111100110111111…
…110111000010011100001
311121111111112011010222020
4102330313332320103201
5132314114431233441
62434135215332053
7163042364040312
oct22746776702341
94544445133866
101302314321121
11462343534980
12190492521029
1395a66714c18
1447064aa4609
1523d221c4e66
hex12f37fb84e1

1302314321121 has 32 divisors (see below), whose sum is σ = 1996984958976. Its totient is φ = 747569184000.

The previous prime is 1302314321093. The next prime is 1302314321131. The reversal of 1302314321121 is 1211234132031.

It is not a de Polignac number, because 1302314321121 - 29 = 1302314320609 is a prime.

It is a super-2 number, since 2×13023143211212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302314321091 and 1302314321100.

It is not an unprimeable number, because it can be changed into a prime (1302314321131) 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, 13494840 + ... + 13591001.

It is an arithmetic number, because the mean of its divisors is an integer number (62405779968).

Almost surely, 21302314321121 is an apocalyptic number.

1302314321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1302314321121 is a deficient number, since it is larger than the sum of its proper divisors (694670637855).

1302314321121 is a wasteful number, since it uses less digits than its factorization.

1302314321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27085933.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1302314321121 its reverse (1211234132031), we get a palindrome (2513548453152).

The spelling of 1302314321121 in words is "one trillion, three hundred two billion, three hundred fourteen million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 31 33 47 93 141 341 517 1023 1457 1551 4371 16027 48081 27085841 81257523 297944251 839661071 893832753 1273034527 2518983213 3819103581 9236271781 14003379797 27708815343 39464070337 42010139391 118392211011 434104773707 1302314321121