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10032011122003 = 1347792637271087
BaseRepresentation
bin1001000111111100001001…
…1101011001010101010011
31022112001101002210201221121
42101333002131121111103
52303331024321401003
633200350422303111
72053534405366513
oct221770235312523
938461332721847
1010032011122003
113218608820852
121160330287a97
1357a026090130
142697a26c9843
15125e503c9cbd
hex91fc2759553

10032011122003 has 64 divisors (see below), whose sum is σ = 11241479208960. Its totient is φ = 8894087908992.

The previous prime is 10032011121997. The next prime is 10032011122013. The reversal of 10032011122003 is 30022111023001.

It is not a de Polignac number, because 10032011122003 - 229 = 10031474251091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032011122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9229080526 + ... + 9229081612.

It is an arithmetic number, because the mean of its divisors is an integer number (175648112640).

Almost surely, 210032011122003 is an apocalyptic number.

10032011122003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10032011122003 is a deficient number, since it is larger than the sum of its proper divisors (1209468086957).

10032011122003 is a wasteful number, since it uses less digits than its factorization.

10032011122003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10032011122003 its reverse (30022111023001), we get a palindrome (40054122145004).

The spelling of 10032011122003 in words is "ten trillion, thirty-two billion, eleven million, one hundred twenty-two thousand, three".

Divisors: 1 13 47 79 263 611 727 1027 1087 3419 3713 9451 12361 14131 20777 34169 48269 51089 57433 85873 160693 191201 270101 285881 444197 664157 746629 790249 976519 1116349 2485613 2699351 3716453 4036031 8986447 10273237 12694747 13436407 15104879 22584599 35091563 37141703 52468403 62429671 116823811 174673291 196363427 207835487 293599787 482842139 709929313 811585723 1061476153 2701861331 2934194537 9229081069 9768267889 13799189989 16419003473 38144528981 126987482557 213447045149 771693163231 10032011122003