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1132322211000 = 23325337101131257
BaseRepresentation
bin10000011110100011101…
…010011100010010111000
311000020201111000012201200
4100132203222130102320
5122022443441223000
62224103122414200
7144543666662601
oct20364352342270
94006644005650
101132322211000
113a7240406572
12163550501360
1382a152c1106
143cb3a0c2da8
151e6c33d7500
hex107a3a9c4b8

1132322211000 has 768 divisors, whose sum is σ = 4015472123520. Its totient is φ = 287539200000.

The previous prime is 1132322210993. The next prime is 1132322211091. The reversal of 1132322211000 is 1122232311.

1132322211000 is a `hidden beast` number, since 1 + 132 + 322 + 211 + 0 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 4405922872 + ... + 4405923128.

Almost surely, 21132322211000 is an apocalyptic number.

1132322211000 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 1132322211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007736061760).

1132322211000 is an abundant number, since it is smaller than the sum of its proper divisors (2883149912520).

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

1132322211000 is a wasteful number, since it uses less digits than its factorization.

1132322211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 536 counting only the distinct ones).

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

Adding to 1132322211000 its reverse (1122232311), we get a palindrome (1133444443311).

It can be divided in two parts, 113232 and 2211000, that added together give a palindrome (2324232).

The spelling of 1132322211000 in words is "one trillion, one hundred thirty-two billion, three hundred twenty-two million, two hundred eleven thousand".