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1193811981120 = 26345112380641
BaseRepresentation
bin10001010111110100101…
…111010011001101000000
311020010102210212011220000
4101113310233103031000
5124024411331343440
62312232445520000
7152151526260453
oct21276457231500
94203383764800
101193811981120
11420324816a00
12173451273000
138876459b185
1441ad077549a
15210c1813730
hex115f4bd3340

1193811981120 has 420 divisors, whose sum is σ = 4667761839972. Its totient is φ = 289408204800.

The previous prime is 1193811981101. The next prime is 1193811981137. The reversal of 1193811981120 is 211891183911.

It can be written as a sum of positive squares in 2 ways, for example, as 595070302464 + 598741678656 = 771408^2 + 773784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2946000 + ... + 3326640.

Almost surely, 21193811981120 is an apocalyptic number.

1193811981120 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 1193811981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333880919986).

1193811981120 is an abundant number, since it is smaller than the sum of its proper divisors (3473949858852).

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

1193811981120 is a wasteful number, since it uses less digits than its factorization.

1193811981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380692 (or 380662 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 45.

The spelling of 1193811981120 in words is "one trillion, one hundred ninety-three billion, eight hundred eleven million, nine hundred eighty-one thousand, one hundred twenty".