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1131121300320 = 253251127191433
BaseRepresentation
bin10000011101011100000…
…101010101001101100000
311000010121210021121222100
4100131130011111031200
5122013014023102240
62223344023010400
7144502145262354
oct20353405251540
94003553247870
101131121300320
113a6784538600
12163276299a00
138288356b28b
143ca647d7464
151e652c6be30
hex1075c155360

1131121300320 has 432 divisors, whose sum is σ = 4302560729376. Its totient is φ = 270346137600.

The previous prime is 1131121300319. The next prime is 1131121300349. The reversal of 1131121300320 is 230031211311.

1131121300320 is a `hidden beast` number, since 1 + 1 + 31 + 12 + 1 + 300 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131121300293 and 1131121300302.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12325324 + ... + 12416756.

It is an arithmetic number, because the mean of its divisors is an integer number (9959631318).

Almost surely, 21131121300320 is an apocalyptic number.

1131121300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131121300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151280364688).

1131121300320 is an abundant number, since it is smaller than the sum of its proper divisors (3171439429056).

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

1131121300320 is a wasteful number, since it uses less digits than its factorization.

1131121300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91547 (or 91525 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131121300320 its reverse (230031211311), we get a palindrome (1361152511631).

The spelling of 1131121300320 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred thousand, three hundred twenty".