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10400323021 = 113130499481
BaseRepresentation
bin10011010111110100…
…00101010111001101
3222211211001011001221
421223322011113031
5132244440314041
64440003003341
7515505200314
oct115372052715
928754034057
1010400323021
114457790690
122023069551
13c99912aba
147093ad27b
1540d0d72d1
hex26be855cd

10400323021 has 8 divisors (see below), whose sum is σ = 11711801088. Its totient is φ = 9149844000.

The previous prime is 10400323013. The next prime is 10400323093. The reversal of 10400323021 is 12032300401.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10400323021 - 23 = 10400323013 is a prime.

It is a super-3 number, since 3×104003230213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400322986 and 10400323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400323321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15249400 + ... + 15250081.

It is an arithmetic number, because the mean of its divisors is an integer number (1463975136).

Almost surely, 210400323021 is an apocalyptic number.

10400323021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10400323021 is a deficient number, since it is larger than the sum of its proper divisors (1311478067).

10400323021 is a wasteful number, since it uses less digits than its factorization.

10400323021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30499523.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10400323021 its reverse (12032300401), we get a palindrome (22432623422).

The spelling of 10400323021 in words is "ten billion, four hundred million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 11 31 341 30499481 335494291 945483911 10400323021