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10442321021 = 114770128813
BaseRepresentation
bin10011011100110100…
…10010110001111101
3222221202001212111102
421232122102301331
5132341213233041
64444103102445
7516525156416
oct115632226175
928852055442
1010442321021
114479466380
122035141a25
13ca5528ba2
14710bc280d
15411b3109b
hex26e692c7d

10442321021 has 16 divisors (see below), whose sum is σ = 11650998528. Its totient is φ = 9277464000.

The previous prime is 10442320991. The next prime is 10442321023. The reversal of 10442321021 is 12012324401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10442321021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10442320984 and 10442321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442321023) 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 15 ways as a sum of consecutive naturals, for example, 348011 + ... + 376823.

It is an arithmetic number, because the mean of its divisors is an integer number (728187408).

Almost surely, 210442321021 is an apocalyptic number.

10442321021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442321021 is a deficient number, since it is larger than the sum of its proper divisors (1208677507).

10442321021 is a wasteful number, since it uses less digits than its factorization.

10442321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29572.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10442321021 its reverse (12012324401), we get a palindrome (22454645422).

The spelling of 10442321021 in words is "ten billion, four hundred forty-two million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 11 47 517 701 7711 28813 32947 316943 362417 1354211 14896321 20197913 222177043 949301911 10442321021