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10022144445 = 335535923741
BaseRepresentation
bin10010101010101110…
…11100100110111101
3221212110102200121000
421111113130212331
5131011132110240
64334253200513
7503233552005
oct112527344675
927773380530
1010022144445
11428326a505
121b38490139
13c394719b1
146b1089005
153d9cd4430
hex2555dc9bd

10022144445 has 64 divisors (see below), whose sum is σ = 18461779200. Its totient is φ = 5155188480.

The previous prime is 10022144441. The next prime is 10022144449. The reversal of 10022144445 is 54444122001.

10022144445 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 214 + 4 + 445 = 666.

10022144445 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022144441) and next prime (10022144449).

It is not a de Polignac number, because 10022144445 - 22 = 10022144441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022144441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410275 + ... + 434015.

It is an arithmetic number, because the mean of its divisors is an integer number (288465300).

Almost surely, 210022144445 is an apocalyptic number.

10022144445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10022144445 is a deficient number, since it is larger than the sum of its proper divisors (8439634755).

10022144445 is a wasteful number, since it uses less digits than its factorization.

10022144445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23867 (or 23861 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10022144445 its reverse (54444122001), we get a palindrome (64466266446).

The spelling of 10022144445 in words is "ten billion, twenty-two million, one hundred forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 53 59 135 159 177 265 295 477 531 795 885 1431 1593 2385 2655 3127 7155 7965 9381 15635 23741 28143 46905 71223 84429 118705 140715 213669 356115 422145 641007 1068345 1258273 1400719 3205035 3774819 4202157 6291365 7003595 11324457 12606471 18874095 21010785 33973371 37819413 56622285 63032355 74238107 169866855 189097065 222714321 371190535 668142963 1113571605 2004428889 3340714815 10022144445