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1312140414100 = 225219168698451
BaseRepresentation
bin10011000110000001101…
…010011100110010010100
311122102212022200101111211
4103012001222130302110
5132444230421222400
62442442230511204
7163541030331565
oct23060152346224
94572768611454
101312140414100
11466526068a7a
12192375205504
1396971382919
1447717ab816c
15241e9b7edba
hex13181a9cc94

1312140414100 has 36 divisors (see below), whose sum is σ = 2862252304128. Its totient is φ = 522108220000.

The previous prime is 1312140414073. The next prime is 1312140414103. The reversal of 1312140414100 is 14140412131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312140414103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34330126 + ... + 34368325.

It is an arithmetic number, because the mean of its divisors is an integer number (79507008448).

Almost surely, 21312140414100 is an apocalyptic number.

1312140414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312140414100 is an abundant number, since it is smaller than the sum of its proper divisors (1550111890028).

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

1312140414100 is a wasteful number, since it uses less digits than its factorization.

1312140414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68698656 (or 68698649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1312140414100 its reverse (14140412131), we get a palindrome (1326280826231).

The spelling of 1312140414100 in words is "one trillion, three hundred twelve billion, one hundred forty million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 19100 68698451 137396902 274793804 343492255 686984510 1373969020 1717461275 3434922550 6869845100 13121404141 26242808282 52485616564 65607020705 131214041410 262428082820 328035103525 656070207050 1312140414100