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1131030221400 = 233352229914629
BaseRepresentation
bin10000011101010110101…
…001111001001001011000
311000010101102220100012000
4100131112221321021120
5122012322214041100
62223331010521000
7144466661154222
oct20352651711130
94003342810160
101131030221400
113a673808a672
1216324b896160
138286a72c221
143ca56689412
151e649c7a900
hex10756a79258

1131030221400 has 192 divisors, whose sum is σ = 3912787140000. Its totient is φ = 300290664960.

The previous prime is 1131030221383. The next prime is 1131030221441. The reversal of 1131030221400 is 41220301311.

1131030221400 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 30 + 221 + 400 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 779286 + ... + 1693914.

Almost surely, 21131030221400 is an apocalyptic number.

1131030221400 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 1131030221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956393570000).

1131030221400 is an abundant number, since it is smaller than the sum of its proper divisors (2781756918600).

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

1131030221400 is a wasteful number, since it uses less digits than its factorization.

1131030221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914883 (or 914868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131030221400 its reverse (41220301311), we get a palindrome (1172250522711).

The spelling of 1131030221400 in words is "one trillion, one hundred thirty-one billion, thirty million, two hundred twenty-one thousand, four hundred".