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10031340220032 = 27326123281823
BaseRepresentation
bin1001000111111001101001…
…1110000110111010000000
31022111222122100101101110110
42101332122132012322000
52303323141044020112
633200200054431320
72053511650666215
oct221763236067200
938458570341413
1010031340220032
1132182a404620a
121160183662540
13579c4a09b311
1426973b567b0c
15125e1155413c
hex91f9a786e80

10031340220032 has 32 divisors (see below), whose sum is σ = 26645747460480. Its totient is φ = 3343780073216.

The previous prime is 10031340220019. The next prime is 10031340220063. The reversal of 10031340220032 is 23002204313001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×100313402200323 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10031340219990 and 10031340220008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13061640528 + ... + 13061641295.

It is an arithmetic number, because the mean of its divisors is an integer number (832679608140).

Almost surely, 210031340220032 is an apocalyptic number.

10031340220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10031340220032 is an abundant number, since it is smaller than the sum of its proper divisors (16614407240448).

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

10031340220032 is an equidigital number, since it uses as much as digits as its factorization.

10031340220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26123281840 (or 26123281828 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10031340220032 its reverse (23002204313001), we get a palindrome (33033544533033).

The spelling of 10031340220032 in words is "ten trillion, thirty-one billion, three hundred forty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 26123281823 52246563646 78369845469 104493127292 156739690938 208986254584 313479381876 417972509168 626958763752 835945018336 1253917527504 1671890036672 2507835055008 3343780073344 5015670110016 10031340220032