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1311456132430 = 2519311032161729
BaseRepresentation
bin10011000101011000111…
…000000111110101001110
311122101002122002021112021
4103011120320013311032
5132441330232214210
62442250304200354
7163515051124363
oct23053070076516
94571078067467
101311456132430
11466204885034
121922040090ba
1396892687b22
1447690c7246a
15241a9a64bda
hex13158e07d4e

1311456132430 has 64 divisors (see below), whose sum is σ = 2589925478400. Its totient is φ = 476271912960.

The previous prime is 1311456132383. The next prime is 1311456132439. The reversal of 1311456132430 is 342316541131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311456132439) 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, 474195 + ... + 1687534.

It is an arithmetic number, because the mean of its divisors is an integer number (40467585600).

Almost surely, 21311456132430 is an apocalyptic number.

1311456132430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311456132430 is a deficient number, since it is larger than the sum of its proper divisors (1278469345970).

1311456132430 is a wasteful number, since it uses less digits than its factorization.

1311456132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161889.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1311456132430 in words is "one trillion, three hundred eleven billion, four hundred fifty-six million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 19 31 38 62 95 103 155 190 206 310 515 589 1030 1178 1957 2945 3193 3914 5890 6386 9785 15965 19570 31930 60667 121334 303335 606670 2161729 4323458 10808645 21617290 41072851 67013599 82145702 134027198 205364255 222658087 335067995 410728510 445316174 670135990 1113290435 1273258381 2226580870 2546516762 4230503653 6366291905 6902400697 8461007306 12732583810 13804801394 21152518265 34512003485 42305036530 69024006970 131145613243 262291226486 655728066215 1311456132430