Search a number
-
+
10123543003000 = 235374155216389
BaseRepresentation
bin1001001101010001001000…
…1011110011111101111000
31022211210122010012001202011
42103110102023303331320
52311331004002044000
633310405204215304
72063254555502440
oct223242213637570
938753563161664
1010123543003000
113253409117799
12117601609a534
1358585238786b
1426dda6c29120
1512850ae9c2ba
hex935122f3f78

10123543003000 has 256 divisors, whose sum is σ = 27742934419200. Its totient is φ = 3385128960000.

The previous prime is 10123543002973. The next prime is 10123543003003. The reversal of 10123543003000 is 30034532101.

It is a super-2 number, since 2×101235430030002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123543003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1584523806 + ... + 1584530194.

It is an arithmetic number, because the mean of its divisors is an integer number (108370837575).

Almost surely, 210123543003000 is an apocalyptic number.

10123543003000 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 10123543003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871467209600).

10123543003000 is an abundant number, since it is smaller than the sum of its proper divisors (17619391416200).

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

10123543003000 is a wasteful number, since it uses less digits than its factorization.

10123543003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 10123543003000 its reverse (30034532101), we get a palindrome (10153577535101).

The spelling of 10123543003000 in words is "ten trillion, one hundred twenty-three billion, five hundred forty-three million, three thousand".