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10100201401 = 891511574787
BaseRepresentation
bin10010110100000010…
…01101011110111001
3222001220022101121101
421122001031132321
5131141122421101
64350122211401
7505202203213
oct113201153671
928056271541
1010100201401
114313333894
121b5a653b61
13c4c6a1844
146bb5a75b3
153e1aa2401
hex25a04d7b9

10100201401 has 16 divisors (see below), whose sum is σ = 10348974720. Its totient is φ = 9855331200.

The previous prime is 10100201351. The next prime is 10100201411. The reversal of 10100201401 is 10410200101.

10100201401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100201401 - 211 = 10100199353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100201411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107530 + ... + 2112316.

It is an arithmetic number, because the mean of its divisors is an integer number (646810920).

Almost surely, 210100201401 is an apocalyptic number.

It is an amenable number.

10100201401 is a deficient number, since it is larger than the sum of its proper divisors (248773319).

10100201401 is a wasteful number, since it uses less digits than its factorization.

10100201401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100201401 its reverse (10410200101), we get a palindrome (20510401502).

The spelling of 10100201401 in words is "ten billion, one hundred million, two hundred one thousand, four hundred one".

Divisors: 1 89 151 157 4787 13439 13973 23707 426043 722837 751559 2109923 64332493 66888751 113485409 10100201401