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202130400401 = 17337187718797
BaseRepresentation
bin1011110000111111101…
…0010010010010010001
3201022201211000020102222
42330033322102102101
511302430340303101
6232505111550425
720413660024616
oct2741772222221
9638654006388
10202130400401
11787a5383596
123321108b415
13160a37c2327
149ad700250d
1553d04e401b
hex2f0fe92491

202130400401 has 16 divisors (see below), whose sum is σ = 214781286096. Its totient is φ = 189564727296.

The previous prime is 202130400383. The next prime is 202130400487. The reversal of 202130400401 is 104004031202.

Adding to 202130400401 its reverse (104004031202), we get a palindrome (306134431603).

202130400401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14510611600 + 187619788801 = 120460^2 + 433151^2 .

It is a cyclic number.

It is not a de Polignac number, because 202130400401 - 218 = 202130138257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 202130400401.

It is not an unprimeable number, because it can be changed into a prime (202130400491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10743935 + ... + 10762731.

It is an arithmetic number, because the mean of its divisors is an integer number (13423830381).

Almost surely, 2202130400401 is an apocalyptic number.

It is an amenable number.

202130400401 is a deficient number, since it is larger than the sum of its proper divisors (12650885695).

202130400401 is a wasteful number, since it uses less digits than its factorization.

202130400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028.

The product of its (nonzero) digits is 192, while the sum is 17.

The spelling of 202130400401 in words is "two hundred two billion, one hundred thirty million, four hundred thousand, four hundred one".

Divisors: 1 17 337 1877 5729 18797 31909 319549 632549 6334589 10753333 35281969 107688013 599793473 11890023553 202130400401