Search a number
-
+
10023223121310 = 235791129523759
BaseRepresentation
bin1001000111011011011010…
…1001110101010110011110
31022111012200122122001022110
42101312312221311112132
52303210030104340220
633152334413054450
72053103545540320
oct221666651652636
938435618561273
1010023223121310
113214909168863
12115a699187426
13579255508a19
142691ab4db610
15125ad8b27be0
hex91db6a7559e

10023223121310 has 64 divisors (see below), whose sum is σ = 27492623308800. Its totient is φ = 2290992913152.

The previous prime is 10023223121279. The next prime is 10023223121311. The reversal of 10023223121310 is 1312132232001.

It is a super-2 number, since 2×100232231213102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023223121311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18875211 + ... + 19398969.

It is an arithmetic number, because the mean of its divisors is an integer number (429572239200).

Almost surely, 210023223121310 is an apocalyptic number.

10023223121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10023223121310 is an abundant number, since it is smaller than the sum of its proper divisors (17469400187490).

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

10023223121310 is a wasteful number, since it uses less digits than its factorization.

10023223121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614905.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10023223121310 its reverse (1312132232001), we get a palindrome (11335355353311).

The spelling of 10023223121310 in words is "ten trillion, twenty-three billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 91129 182258 273387 455645 523759 546774 637903 911290 1047518 1275806 1366935 1571277 1913709 2618795 2733870 3142554 3189515 3666313 3827418 5237590 6379030 7332626 7856385 9568545 10998939 15712770 18331565 19137090 21997878 36663130 54994695 109989390 47729633911 95459267822 143188901733 238648169555 286377803466 334107437377 477296339110 668214874754 715944508665 1002322312131 1431889017330 1670537186885 2004644624262 3341074373770 5011611560655 10023223121310