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10010302332303 = 3713612395414649
BaseRepresentation
bin1001000110101011010010…
…0000111011110110001111
31022102222100011212221220110
42101222310200323312033
52303002044344113203
633142400331451103
72052135423621450
oct221526440736617
938388304787813
1010010302332303
11320a388775839
121158091bb6a93
13577c7667c240
142687034b1127
151255ce620d03
hex91ab483bd8f

10010302332303 has 128 divisors (see below), whose sum is σ = 16800924672000. Its totient is φ = 5161198694400.

The previous prime is 10010302332293. The next prime is 10010302332311. The reversal of 10010302332303 is 30323320301001.

It is not a de Polignac number, because 10010302332303 - 218 = 10010302070159 is a prime.

It is a super-2 number, since 2×100103023323032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10010302332303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010302332313) 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 127 ways as a sum of consecutive naturals, for example, 2153213923 + ... + 2153218571.

It is an arithmetic number, because the mean of its divisors is an integer number (131257224000).

Almost surely, 210010302332303 is an apocalyptic number.

10010302332303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10010302332303 is a deficient number, since it is larger than the sum of its proper divisors (6790622339697).

10010302332303 is a wasteful number, since it uses less digits than its factorization.

10010302332303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10010302332303 its reverse (30323320301001), we get a palindrome (40333622633304).

It can be divided in two parts, 1001030 and 2332303, that added together give a palindrome (3333333).

The spelling of 10010302332303 in words is "ten trillion, ten billion, three hundred two million, three hundred thirty-two thousand, three hundred three".

Divisors: 1 3 7 13 21 39 61 91 183 239 273 427 541 717 793 1281 1623 1673 2379 3107 3787 4649 5019 5551 7033 9321 11361 13947 14579 16653 21099 21749 32543 33001 43737 49231 60437 65247 97629 99003 102053 129299 147693 181311 189527 231007 283589 306159 387897 423059 429013 568581 693021 850767 905093 1111111 1269177 1287039 1326689 1680887 1985123 2515109 2715279 3003091 3333333 3686657 3980067 5042661 5955369 7545327 7777777 7887239 9009273 11059971 11766209 14444443 17605763 23333331 23661717 25806599 32696417 35298627 43333329 52817289 55210673 67777771 77419797 98089251 101111101 102534107 153421649 165632019 203333313 228874919 303333303 307602321 460264947 474444397 601111051 686624757 717738749 881111023 1073951543 1423333191 1803333153 1994481437 2153216247 2643333069 3221854629 4207777357 5983444311 6167777161 7814443663 12623332071 13961370059 18503331483 23443330989 36667774111 41884110177 54701105641 110003322333 164103316923 256674418777 476681063443 770023256331 1430043190329 3336767444101 10010302332303