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101103123000 = 2335311219107137
BaseRepresentation
bin101111000101000110…
…1110011101000111000
3100122222001100210112010
41132022031303220320
53124024344414000
6114240210445520
710206300236355
oct1361215635070
9318861323463
10101103123000
1139972093800
12177172938a0
1396c3214a49
144c7177362c
15296aedad50
hex178a373a38

101103123000 has 768 divisors, whose sum is σ = 371073830400. Its totient is φ = 22834944000.

The previous prime is 101103122999. The next prime is 101103123007. The reversal of 101103123000 is 321301101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103123007) 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 191 ways as a sum of consecutive naturals, for example, 737978932 + ... + 737979068.

It is an arithmetic number, because the mean of its divisors is an integer number (483169050).

Almost surely, 2101103123000 is an apocalyptic number.

101103123000 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 101103123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185536915200).

101103123000 is an abundant number, since it is smaller than the sum of its proper divisors (269970707400).

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

101103123000 is a wasteful number, since it uses less digits than its factorization.

101103123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101103123000 its reverse (321301101), we get a palindrome (101424424101).

The spelling of 101103123000 in words is "one hundred one billion, one hundred three million, one hundred twenty-three thousand".