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1320131150415 = 325711450784533
BaseRepresentation
bin10011001101011101111…
…100101100001001001111
311200012111012122212000200
4103031131330230021033
5133112112033303130
62450243200024543
7164243036430120
oct23153574541117
94605435585020
101320131150415
11469956689490
12193a25302153
1397645a0136c
1447c75050047
152451644a760
hex1335df2c24f

1320131150415 has 96 divisors (see below), whose sum is σ = 2853521588736. Its totient is φ = 548497716480.

The previous prime is 1320131150363. The next prime is 1320131150431. The reversal of 1320131150415 is 5140511310231.

1320131150415 is a `hidden beast` number, since 1 + 3 + 20 + 131 + 1 + 504 + 1 + 5 = 666.

It is not a de Polignac number, because 1320131150415 - 210 = 1320131149391 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15574489 + ... + 15659021.

It is an arithmetic number, because the mean of its divisors is an integer number (29724183216).

Almost surely, 21320131150415 is an apocalyptic number.

1320131150415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1320131150415 is an abundant number, since it is smaller than the sum of its proper divisors (1533390438321).

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

1320131150415 is a wasteful number, since it uses less digits than its factorization.

1320131150415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89069 (or 89066 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1320131150415 its reverse (5140511310231), we get a palindrome (6460642460646).

The spelling of 1320131150415 in words is "one trillion, three hundred twenty billion, one hundred thirty-one million, one hundred fifty thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 4507 13521 22535 31549 40563 49577 67605 84533 94647 148731 157745 202815 247885 253599 283941 347039 422665 446193 473235 591731 743655 760797 929863 1041117 1267995 1419705 1735195 1775193 2230965 2789589 2958655 3123351 3803985 4649315 5205585 5325579 6509041 8368767 8875965 13947945 15616755 19527123 26627895 32545205 41843835 58581369 97635615 292906845 380990231 1142970693 1904951155 2666931617 3428912079 4190892541 5714853465 8000794851 12572677623 13334658085 17144560395 20954462705 24002384553 29336247787 37718032869 40003974255 62863388115 88008743361 120011922765 146681238935 188590164345 264026230083 440043716805 1320131150415