Search a number
-
+
10022400431130 = 2353535059187073
BaseRepresentation
bin1001000111011000010110…
…0111100001010000011010
31022111010120022121001112210
42101312011213201100122
52303201334002244010
633152121024015550
72053044266021553
oct221660547412032
938433508531483
1010022400431130
11321452683a51a
12115a4a97615b6
13579153c400b9
1426913014732a
15125a8b7bcb20
hex91d859e141a

10022400431130 has 64 divisors (see below), whose sum is σ = 24126799086720. Its totient is φ = 2664527855616.

The previous prime is 10022400431107. The next prime is 10022400431149. The reversal of 10022400431130 is 3113400422001.

It is a junction number, because it is equal to n+sod(n) for n = 10022400431097 and 10022400431106.

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 31 ways as a sum of consecutive naturals, for example, 53481274 + ... + 53668346.

It is an arithmetic number, because the mean of its divisors is an integer number (376981235730).

Almost surely, 210022400431130 is an apocalyptic number.

10022400431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022400431130 is an abundant number, since it is smaller than the sum of its proper divisors (14104398655590).

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

10022400431130 is a wasteful number, since it uses less digits than its factorization.

10022400431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192495.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10022400431130 its reverse (3113400422001), we get a palindrome (13135800853131).

The spelling of 10022400431130 in words is "ten trillion, twenty-two billion, four hundred million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 353 706 1059 1765 2118 3530 5059 5295 10118 10590 15177 25295 30354 50590 75885 151770 187073 374146 561219 935365 1122438 1785827 1870730 2806095 3571654 5357481 5612190 8929135 10714962 17858270 26787405 53574810 66036769 132073538 198110307 330183845 396220614 660367690 946402307 990551535 1892804614 1981103070 2839206921 4732011535 5678413842 9464023070 14196034605 28392069210 334080014371 668160028742 1002240043113 1670400071855 2004480086226 3340800143710 5011200215565 10022400431130