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10040201121 = 353614092531
BaseRepresentation
bin10010101100111000…
…10100111110100001
3221220201102001200210
421112130110332201
5131030242413441
64340140204333
7503543205246
oct112634247641
927821361623
1010040201121
114292482785
121b425396a9
13c40124712
146b36295cd
153db69e616
hex256714fa1

10040201121 has 32 divisors (see below), whose sum is σ = 13902503040. Its totient is φ = 6441177600.

The previous prime is 10040201113. The next prime is 10040201123. The reversal of 10040201121 is 12110204001.

It is a happy number.

10040201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10040201121 - 23 = 10040201113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10040201097 and 10040201106.

It is not an unprimeable number, because it can be changed into a prime (10040201123) 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 31 ways as a sum of consecutive naturals, for example, 3965626 + ... + 3968156.

It is an arithmetic number, because the mean of its divisors is an integer number (434453220).

Almost surely, 210040201121 is an apocalyptic number.

It is an amenable number.

10040201121 is a deficient number, since it is larger than the sum of its proper divisors (3862301919).

10040201121 is a wasteful number, since it uses less digits than its factorization.

10040201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10040201121 its reverse (12110204001), we get a palindrome (22150405122).

The spelling of 10040201121 in words is "ten billion, forty million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 53 61 159 183 409 1227 2531 3233 7593 9699 21677 24949 65031 74847 134143 154391 402429 463173 1035179 1322297 3105537 3966891 8182723 24548169 54864487 63145919 164593461 189437757 3346733707 10040201121