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10010432243130 = 23511731373033161
BaseRepresentation
bin1001000110101011110001…
…0000100000010110111010
31022102222200020100010001120
42101222330100200112322
52303002331123240010
633142421252130110
72052141562061304
oct221527420402672
938388606303046
1010010432243130
11320a445036760
121158109606936
13577c97566257
1426871684a974
151255dac32e70
hex91abc4205ba

10010432243130 has 128 divisors (see below), whose sum is σ = 26762097897216. Its totient is φ = 2376056217600.

The previous prime is 10010432243117. The next prime is 10010432243131. The reversal of 10010432243130 is 3134223401001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010432243130.

It is not an unprimeable number, because it can be changed into a prime (10010432243131) by changing a digit.

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, 1783750 + ... + 4816910.

It is an arithmetic number, because the mean of its divisors is an integer number (209078889822).

Almost surely, 210010432243130 is an apocalyptic number.

10010432243130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010432243130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381048948608).

10010432243130 is an abundant number, since it is smaller than the sum of its proper divisors (16751665654086).

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

10010432243130 is a wasteful number, since it uses less digits than its factorization.

10010432243130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033392.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10010432243130 its reverse (3134223401001), we get a palindrome (13144655644131).

The spelling of 10010432243130 in words is "ten trillion, ten billion, four hundred thirty-two million, two hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 137 146 165 219 274 330 365 411 438 685 730 803 822 1095 1370 1507 1606 2055 2190 2409 3014 4015 4110 4521 4818 7535 8030 9042 10001 12045 15070 20002 22605 24090 30003 45210 50005 60006 100010 110011 150015 220022 300030 330033 550055 660066 1100110 1650165 3033161 3300330 6066322 9099483 15165805 18198966 30331610 33364771 45497415 66729542 90994830 100094313 166823855 200188626 221420753 333647710 415543057 442841506 500471565 664262259 831086114 1000943130 1107103765 1246629171 1328524518 2077715285 2214207530 2435628283 2493258342 3321311295 4155430570 4570973627 4871256566 6233145855 6642622590 7306884849 9141947254 12178141415 12466291710 13712920881 14613769698 22854868135 24356282830 27425841762 30334643161 36534424245 45709736270 60669286322 68564604405 73068848490 91003929483 137129208810 151673215805 182007858966 303346431610 333681074771 455019647415 667362149542 910039294830 1001043224313 1668405373855 2002086448626 3336810747710 5005216121565 10010432243130