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10032002012351 = 11233741197277479
BaseRepresentation
bin1001000111111100000111…
…1010101001010010111111
31022112001100110122220212002
42101333001322221102333
52303331020003343401
633200345455132515
72053534235065664
oct221770172512277
938461313586762
1010032002012351
113218603669610
12116032921413b
1357a0242208c7
142697a13d7a6b
15125e4e6caa6b
hex91fc1ea94bf

10032002012351 has 128 divisors (see below), whose sum is σ = 12144414965760. Its totient is φ = 8191778918400.

The previous prime is 10032002012299. The next prime is 10032002012411. The reversal of 10032002012351 is 15321020023001.

It is not a de Polignac number, because 10032002012351 - 218 = 10032001750207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032002012251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20943636530 + ... + 20943637008.

It is an arithmetic number, because the mean of its divisors is an integer number (94878241920).

Almost surely, 210032002012351 is an apocalyptic number.

10032002012351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10032002012351 is a deficient number, since it is larger than the sum of its proper divisors (2112412953409).

10032002012351 is a wasteful number, since it uses less digits than its factorization.

10032002012351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10032002012351 its reverse (15321020023001), we get a palindrome (25353022035352).

The spelling of 10032002012351 in words is "ten trillion, thirty-two billion, two million, twelve thousand, three hundred fifty-one".

Divisors: 1 11 23 37 41 197 253 277 407 451 479 851 943 1517 2167 3047 4531 5269 6371 7289 8077 9361 10249 10373 11017 11357 16687 17723 19639 34891 49841 54569 70081 80179 88847 94363 112739 121187 124927 132683 167647 185771 194953 216029 235727 261211 298849 383801 407629 420209 451697 600259 726643 1037993 1255087 1459513 1844117 2019053 2043481 2170349 2237329 2592997 2873321 3051709 3287339 3491431 3868883 4483919 4622299 4909271 4968667 5440003 6873527 7993073 9664807 13805957 16712789 22209583 23873839 24610619 26138551 33568799 38405741 42557713 46438219 51458567 54001981 59840033 75608797 80302913 82781173 88984309 106312877 112913233 125120069 143148671 183840679 201280111 287524061 510820409 566044237 601186673 883332043 910592903 967126387 978827399 1071680591 1242045563 1376320759 1574635381 1903966979 2214081221 3292419433 4629442553 6613053403 10638390257 11788486501 20943636769 22243906901 24648653593 36216613763 39652181867 50923868083 244682975911 271135189523 436174000537 912000182941 10032002012351