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10423213000 = 235331333301
BaseRepresentation
bin10011011010100010…
…11001101111001000
3222220102010002012221
421231101121233020
5132321320304000
64442141343424
7516203564044
oct115521315710
928812102187
1010423213000
1144696a5222
12202a867b74
13ca1598775
1470c44b024
1541010961a
hex26d459bc8

10423213000 has 64 divisors (see below), whose sum is σ = 24468977520. Its totient is φ = 4155840000.

The previous prime is 10423212991. The next prime is 10423213013. The reversal of 10423213000 is 31232401.

It is a happy number.

10423213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 77475204 + 10345737796 = 8802^2 + 101714^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296350 + ... + 329650.

Almost surely, 210423213000 is an apocalyptic number.

10423213000 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 10423213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234488760).

10423213000 is an abundant number, since it is smaller than the sum of its proper divisors (14045764520).

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

10423213000 is a wasteful number, since it uses less digits than its factorization.

10423213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33635 (or 33621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10423213000 its reverse (31232401), we get a palindrome (10454445401).

The spelling of 10423213000 in words is "ten billion, four hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 313 500 626 1000 1252 1565 2504 3130 6260 7825 12520 15650 31300 33301 39125 62600 66602 78250 133204 156500 166505 266408 313000 333010 666020 832525 1332040 1665050 3330100 4162625 6660200 8325250 10423213 16650500 20846426 33301000 41692852 52116065 83385704 104232130 208464260 260580325 416928520 521160650 1042321300 1302901625 2084642600 2605803250 5211606500 10423213000