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1000201020 = 2235713374951
BaseRepresentation
bin111011100111011…
…101101100111100
32120201001110212020
4323213131230330
54022022413040
6243125440140
733533365650
oct7347355474
92521043766
101000201020
11473650915
1223ab70050
1312c2aa830
1496ba0a60
155cc20cd0
hex3b9ddb3c

1000201020 has 192 divisors, whose sum is σ = 3540719616. Its totient is φ = 205286400.

The previous prime is 1000201009. The next prime is 1000201043. The reversal of 1000201020 is 201020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199545 + ... + 204495.

It is an arithmetic number, because the mean of its divisors is an integer number (18441248).

Almost surely, 21000201020 is an apocalyptic number.

1000201020 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 1000201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770359808).

1000201020 is an abundant number, since it is smaller than the sum of its proper divisors (2540518596).

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

1000201020 is a wasteful number, since it uses less digits than its factorization.

1000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000201020 is about 31625.9548472453. The cubic root of 1000201020 is about 1000.0670021773.

Adding to 1000201020 its reverse (201020001), we get a palindrome (1201221021).

The spelling of 1000201020 in words is "one billion, two hundred one thousand, twenty".