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10023452501034 = 23717109353364853
BaseRepresentation
bin1001000111011100010001…
…0100110110010000101010
31022111020021122020202010210
42101313010110312100222
52303211012320013114
633152413245321550
72053112332331010
oct221670424662052
938436248222123
1010023452501034
113214a16698185
12115a741b662b6
13579290bab87b
142691cdb6a8b0
15125aedd37259
hex91dc453642a

10023452501034 has 128 divisors (see below), whose sum is σ = 24550412705280. Its totient is φ = 2663081017344.

The previous prime is 10023452500991. The next prime is 10023452501047. The reversal of 10023452501034 is 43010525432001.

It is a junction number, because it is equal to n+sod(n) for n = 10023452500992 and 10023452501010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27290152 + ... + 27655004.

It is an arithmetic number, because the mean of its divisors is an integer number (191800099260).

Almost surely, 210023452501034 is an apocalyptic number.

10023452501034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023452501034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275206352640).

10023452501034 is an abundant number, since it is smaller than the sum of its proper divisors (14526960204246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023452501034 is a wasteful number, since it uses less digits than its factorization.

10023452501034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365344.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10023452501034 its reverse (43010525432001), we get a palindrome (53033977933035).

The spelling of 10023452501034 in words is "ten trillion, twenty-three billion, four hundred fifty-two million, five hundred one thousand, thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 109 119 218 238 327 353 357 654 706 714 763 1059 1526 1853 2118 2289 2471 3706 4578 4942 5559 6001 7413 11118 12002 12971 14826 18003 25942 36006 38477 38913 42007 76954 77826 84014 115431 126021 230862 252042 269339 364853 538678 654109 729706 808017 1094559 1308218 1616034 1962327 2189118 2553971 3924654 4578763 5107942 6202501 7661913 9157526 12405002 13736289 15323826 18607503 27472578 37215006 39768977 43417507 79537954 86835014 119306931 128793109 130252521 238613862 257586218 260505042 278382839 386379327 556765678 676072609 772758654 835148517 901551763 1352145218 1670297034 1803103526 2028217827 2189482853 2704655289 4056435654 4378965706 4732508263 5409310578 6568448559 9465016526 13136897118 14038448881 14197524789 15326379971 28076897762 28395049578 30652759942 42115346643 45979139913 84230693286 91958279826 98269142167 196538284334 238653630977 294807426501 477307261954 589614853002 715960892931 1431921785862 1670575416839 3341150833678 5011726250517 10023452501034