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1131033120320 = 26529121878569
BaseRepresentation
bin10000011101010110110…
…100111100111001000000
311000010101122100121202102
4100131112310330321000
5122012323434322240
62223331153005532
7144500024616665
oct20352664747100
94003348317672
101131033120320
113a673978a674
121632508538a8
138286b20586c
143ca56c01a6c
151e64a14e815
hex10756d3ce40

1131033120320 has 56 divisors (see below), whose sum is σ = 2786144110200. Its totient is φ = 436812787712.

The previous prime is 1131033120271. The next prime is 1131033120431. The reversal of 1131033120320 is 230213301311.

It can be written as a sum of positive squares in 4 ways, for example, as 235178442304 + 895854678016 = 484952^2 + 946496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1131033120292 and 1131033120301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60930005 + ... + 60948564.

Almost surely, 21131033120320 is an apocalyptic number.

1131033120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131033120320 is an abundant number, since it is smaller than the sum of its proper divisors (1655110989880).

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

1131033120320 is a wasteful number, since it uses less digits than its factorization.

1131033120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121878615 (or 121878605 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1131033120320 its reverse (230213301311), we get a palindrome (1361246421631).

The spelling of 1131033120320 in words is "one trillion, one hundred thirty-one billion, thirty-three million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 121878569 243757138 487514276 609392845 975028552 1218785690 1950057104 2437571380 3534478501 3900114208 4875142760 7068957002 7800228416 9750285520 14137914004 17672392505 19500571040 28275828008 35344785010 39001142080 56551656016 70689570020 113103312032 141379140040 226206624064 282758280080 565516560160 1131033120320