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1001110021200 = 2432523743277631
BaseRepresentation
bin11101001000101101100…
…11101010010001010000
310112201001002010100022100
432210112303222101100
5112400233131134300
62043523102040400
7132220303530312
oct16442663522120
93481032110270
101001110021200
11356628565293
12142031879100
1373534247913
143664da337b2
151b093e2b700
hexe916cea450

1001110021200 has 720 divisors, whose sum is σ = 3669990054016. Its totient is φ = 252390297600.

The previous prime is 1001110021183. The next prime is 1001110021201. The reversal of 1001110021200 is 21200111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110021201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1586544885 + ... + 1586545515.

Almost surely, 21001110021200 is an apocalyptic number.

1001110021200 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 1001110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834995027008).

1001110021200 is an abundant number, since it is smaller than the sum of its proper divisors (2668880032816).

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

1001110021200 is a wasteful number, since it uses less digits than its factorization.

1001110021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001110021200 its reverse (21200111001), we get a palindrome (1022310132201).

The spelling of 1001110021200 in words is "one trillion, one billion, one hundred ten million, twenty-one thousand, two hundred".