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10022043443103 = 331814997275653
BaseRepresentation
bin1001000111010111000001…
…0101101101111110011111
31022111002122102212012001000
42101311300111231332133
52303200121110134403
633152021352321343
72053032402461256
oct221656025557637
938432572765030
1010022043443103
11321436328209a
12115a40a0a3253
135790c7cab293
142690d897b79d
15125a6a2a37a3
hex91d7056df9f

10022043443103 has 64 divisors (see below), whose sum is σ = 14982647680000. Its totient is φ = 6620840519040.

The previous prime is 10022043443051. The next prime is 10022043443117. The reversal of 10022043443103 is 30134434022001.

10022043443103 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 0 + 4 + 344 + 310 + 3 = 666.

It is not a de Polignac number, because 10022043443103 - 222 = 10022039248799 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022043441103) 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, 1772868825 + ... + 1772874477.

It is an arithmetic number, because the mean of its divisors is an integer number (234103870000).

Almost surely, 210022043443103 is an apocalyptic number.

10022043443103 is a deficient number, since it is larger than the sum of its proper divisors (4960604236897).

10022043443103 is a wasteful number, since it uses less digits than its factorization.

10022043443103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10022043443103 its reverse (30134434022001), we get a palindrome (40156477465104).

The spelling of 10022043443103 in words is "ten trillion, twenty-two billion, forty-three million, four hundred forty-three thousand, one hundred three".

Divisors: 1 3 9 27 181 499 543 727 1497 1629 2181 4491 4887 5653 6543 13473 16959 19629 50877 90319 131587 152631 270957 362773 394761 812871 1023193 1088319 1184283 2438613 2820847 3069579 3264957 3552849 4109731 8462541 9208737 9794871 12329193 25387623 27626211 36987579 65661913 76162869 110962737 196985739 510573307 590957217 743861311 1531719921 1772871651 2050755769 2231583933 4595159763 6152267307 6694751799 13785479289 18456801921 20084255397 55370405763 371186794189 1113560382567 3340681147701 10022043443103