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1001020011210 = 233597113409827
BaseRepresentation
bin11101001000100010111…
…00010011001011001010
310112200210210202100211000
432210101130103023022
5112400042110324320
62043510124515430
7132215131463442
oct16442134231312
93480723670730
101001020011210
1135659177746a
121420076abb76
137351b6c127b
1436641ac3122
151b08b09bc90
hexe9117132ca

1001020011210 has 256 divisors, whose sum is σ = 2730722803200. Its totient is φ = 260892721152.

The previous prime is 1001020011203. The next prime is 1001020011221. The reversal of 1001020011210 is 121100201001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001020011192 and 1001020011201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1210422817 + ... + 1210423643.

It is an arithmetic number, because the mean of its divisors is an integer number (10666885950).

Almost surely, 21001020011210 is an apocalyptic number.

1001020011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001020011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365361401600).

1001020011210 is an abundant number, since it is smaller than the sum of its proper divisors (1729702791990).

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

1001020011210 is a wasteful number, since it uses less digits than its factorization.

1001020011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

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

Adding to 1001020011210 its reverse (121100201001), we get a palindrome (1122120212211).

The spelling of 1001020011210 in words is "one trillion, one billion, twenty million, eleven thousand, two hundred ten".