Search a number
-
+
10410223000 = 235365915797
BaseRepresentation
bin10011011000111111…
…10110010110011000
3222212111200010021211
421230133312112120
5132310004114000
64440555112504
7515655302242
oct115437662630
928774603254
1010410223000
114462332691
122026442734
13c9b99ac88
1470a829092
1540dde07ba
hex26c7f6598

10410223000 has 64 divisors (see below), whose sum is σ = 24398431200. Its totient is φ = 4157507200.

The previous prime is 10410222983. The next prime is 10410223007. The reversal of 10410223000 is 32201401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410223007) 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 15 ways as a sum of consecutive naturals, for example, 651102 + ... + 666898.

Almost surely, 210410223000 is an apocalyptic number.

10410223000 is a gapful number since it is divisible by the number (10) 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 10410223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199215600).

10410223000 is an abundant number, since it is smaller than the sum of its proper divisors (13988208200).

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

10410223000 is a wasteful number, since it uses less digits than its factorization.

10410223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16477 (or 16463 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10410223000 its reverse (32201401), we get a palindrome (10442424401).

The spelling of 10410223000 in words is "ten billion, four hundred ten million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 659 1000 1318 2636 3295 5272 6590 13180 15797 16475 26360 31594 32950 63188 65900 78985 82375 126376 131800 157970 164750 315940 329500 394925 631880 659000 789850 1579700 1974625 3159400 3949250 7898500 10410223 15797000 20820446 41640892 52051115 83281784 104102230 208204460 260255575 416408920 520511150 1041022300 1301277875 2082044600 2602555750 5205111500 10410223000