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100431301421 = 11178910159747
BaseRepresentation
bin101110110001000101…
…1000000101100101101
3100121020020012201120102
41131202023000230231
53121140403121141
6114045411200445
710153531656023
oct1354213005455
9317206181512
10100431301421
1139657940260
121756a2a6125
139616c90499
144c0a452713
15292c03299b
hex17622c0b2d

100431301421 has 32 divisors (see below), whose sum is σ = 118473114240. Its totient is φ = 84122368000.

The previous prime is 100431301409. The next prime is 100431301459. The reversal of 100431301421 is 124103134001.

It is not a de Polignac number, because 100431301421 - 214 = 100431285037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100431301393 and 100431301402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431391421) 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, 1651070 + ... + 1710816.

It is an arithmetic number, because the mean of its divisors is an integer number (3702284820).

Almost surely, 2100431301421 is an apocalyptic number.

100431301421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100431301421 is a deficient number, since it is larger than the sum of its proper divisors (18041812819).

100431301421 is a wasteful number, since it uses less digits than its factorization.

100431301421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59965.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100431301421 its reverse (124103134001), we get a palindrome (224534435422).

The spelling of 100431301421 in words is "one hundred billion, four hundred thirty-one million, three hundred one thousand, four hundred twenty-one".

Divisors: 1 11 17 89 101 187 979 1111 1513 1717 8989 16643 18887 59747 98879 152813 657217 1015699 1680943 5317483 6034447 11172689 58492313 66378917 90397211 102585599 537065783 994369321 1128441589 5907723613 9130118311 100431301421