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100421431333 = 2925714899049
BaseRepresentation
bin101110110000110010…
…1010111000000100101
3100121012112122021100121
41131201211113000211
53121130341300313
6114044415441541
710153352040166
oct1354145270045
9317175567317
10100421431333
1139652309763
1217566b262b1
139614c15ab2
144c0900376d
15292b23328d
hex1761957025

100421431333 has 16 divisors (see below), whose sum is σ = 104370030000. Its totient is φ = 96505823232.

The previous prime is 100421431303. The next prime is 100421431337. The reversal of 100421431333 is 333134124001.

It can be written as a sum of positive squares in 8 ways, for example, as 13211663364 + 87209767969 = 114942^2 + 295313^2 .

It is a de Polignac number, because none of the positive numbers 2k-100421431333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100421431298 and 100421431307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421431337) 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, 11092993 + ... + 11102041.

It is an arithmetic number, because the mean of its divisors is an integer number (6523126875).

Almost surely, 2100421431333 is an apocalyptic number.

It is an amenable number.

100421431333 is a deficient number, since it is larger than the sum of its proper divisors (3948598667).

100421431333 is a wasteful number, since it uses less digits than its factorization.

100421431333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 100421431333 its reverse (333134124001), we get a palindrome (433555555334).

The spelling of 100421431333 in words is "one hundred billion, four hundred twenty-one million, four hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 29 257 1489 7453 9049 43181 262421 382673 2325593 11097517 13473961 67442197 390744869 3462807977 100421431333