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10023731203640 = 2357114651699733
BaseRepresentation
bin1001000111011101010011…
…1100000000111000111000
31022111021000001200022020112
42101313110330000320320
52303212100142004030
633152501043043452
72053122255266030
oct221672474007070
938437001608215
1010023731203640
113215049a45610
12115a7bb370588
1357930686085b
14269218b988c0
15125b1853aa95
hex91dd4f00e38

10023731203640 has 128 divisors (see below), whose sum is σ = 28124604587520. Its totient is φ = 3123603648000.

The previous prime is 10023731203637. The next prime is 10023731203669. The reversal of 10023731203640 is 4630213732001.

It is a junction number, because it is equal to n+sod(n) for n = 10023731203597 and 10023731203606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13975214 + ... + 14674946.

It is an arithmetic number, because the mean of its divisors is an integer number (219723473340).

Almost surely, 210023731203640 is an apocalyptic number.

10023731203640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023731203640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062302293760).

10023731203640 is an abundant number, since it is smaller than the sum of its proper divisors (18100873383880).

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

10023731203640 is a wasteful number, since it uses less digits than its factorization.

10023731203640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704413 (or 704409 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 10023731203640 its reverse (4630213732001), we get a palindrome (14653944935641).

The spelling of 10023731203640 in words is "ten trillion, twenty-three billion, seven hundred thirty-one million, two hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4651 9302 18604 23255 32557 37208 46510 51161 65114 93020 102322 130228 162785 186040 204644 255805 260456 325570 358127 409288 511610 651140 699733 716254 1023220 1302280 1399466 1432508 1790635 2046440 2798932 2865016 3498665 3581270 4898131 5597864 6997330 7162540 7697063 9796262 13994660 14325080 15394126 19592524 24490655 27989320 30788252 38485315 39185048 48981310 53879441 61576504 76970630 97962620 107758882 153941260 195925240 215517764 269397205 307882520 431035528 538794410 1077588820 2155177640 3254458183 6508916366 13017832732 16272290915 22781207281 26035665464 32544581830 35799040013 45562414562 65089163660 71598080026 91124829124 113906036405 130178327320 143196160052 178995200065 182249658248 227812072810 250593280091 286392320104 357990400130 455624145620 501186560182 715980800260 911248291240 1002373120364 1252966400455 1431961600520 2004746240728 2505932800910 5011865601820 10023731203640