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10021271003376 = 243439774969567
BaseRepresentation
bin1001000111010100001001…
…0011000110000011110000
31022111000122121101011221020
42101311002103012003300
52303142030334102001
633151413000255440
72053004303032353
oct221650223060360
938430577334836
1010021271003376
113213aa7255756
12115a233471580
13579003c57a59
1426906414829a
15125a22572736
hex91d424c60f0

10021271003376 has 80 divisors (see below), whose sum is σ = 26517455821824. Its totient is φ = 3259399191552.

The previous prime is 10021271003363. The next prime is 10021271003377. The reversal of 10021271003376 is 67330017212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021271003377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468256 + ... + 4501311.

Almost surely, 210021271003376 is an apocalyptic number.

10021271003376 is a gapful number since it is divisible by the number (16) 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 10021271003376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258727910912).

10021271003376 is an abundant number, since it is smaller than the sum of its proper divisors (16496184818448).

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

10021271003376 is a wasteful number, since it uses less digits than its factorization.

10021271003376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970598 (or 4970592 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

Adding to 10021271003376 its reverse (67330017212001), we get a palindrome (77351288215377).

The spelling of 10021271003376 in words is "ten trillion, twenty-one billion, two hundred seventy-one million, three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 977 1032 1954 2064 2931 3908 5862 7816 11724 15632 23448 42011 46896 84022 126033 168044 252066 336088 504132 672176 1008264 2016528 4969567 9939134 14908701 19878268 29817402 39756536 59634804 79513072 119269608 213691381 238539216 427382762 641074143 854765524 1282148286 1709531048 2564296572 3419062096 4855266959 5128593144 9710533918 10257186288 14565800877 19421067836 29131601754 38842135672 58263203508 77684271344 116526407016 208776479237 233052814032 417552958474 626329437711 835105916948 1252658875422 1670211833896 2505317750844 3340423667792 5010635501688 10021271003376