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1000431420301 = 191312511601359
BaseRepresentation
bin11101000111011100101…
…11000000001110001101
310112122021210012211212201
432203232113000032031
5112342340420422201
62043331501201501
7132164423523115
oct16435627001615
93478253184781
101000431420301
1135630a5013a5
12141a82560291
137345678b721
14365c786a045
151b054584801
hexe8ee5c038d

1000431420301 has 16 divisors (see below), whose sum is σ = 1065352780800. Its totient is φ = 936794430000.

The previous prime is 1000431420217. The next prime is 1000431420311. The reversal of 1000431420301 is 1030241340001.

1000431420301 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 1000431420301 - 29 = 1000431419789 is a prime.

It is a super-2 number, since 2×10004314203012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000431420311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175941 + ... + 1425418.

It is an arithmetic number, because the mean of its divisors is an integer number (66584548800).

Almost surely, 21000431420301 is an apocalyptic number.

It is an amenable number.

1000431420301 is a deficient number, since it is larger than the sum of its proper divisors (64921360499).

1000431420301 is a wasteful number, since it uses less digits than its factorization.

1000431420301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601760.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1000431420301 its reverse (1030241340001), we get a palindrome (2030672760302).

The spelling of 1000431420301 in words is "one trillion, four hundred thirty-one million, four hundred twenty thousand, three hundred one".

Divisors: 1 19 131 251 2489 4769 32881 624739 1601359 30425821 209778029 401941109 3985782551 7636881071 52654285279 1000431420301