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153043101024 = 253114714472131
BaseRepresentation
bin1000111010001000010…
…1000110010101100000
3112122000211121001200220
42032202011012111200
510001413013213044
6154150152443040
714025356615622
oct2164205062540
9478024531626
10153043101024
11599a5927a80
12257b19a9480
131157cb74b58
14759b9b6c12
153eaad39019
hex23a2146560

153043101024 has 192 divisors, whose sum is σ = 448103964672. Its totient is φ = 45337305600.

The previous prime is 153043101011. The next prime is 153043101049. The reversal of 153043101024 is 420101340351.

It is a happy number.

153043101024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 153043100985 and 153043101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71816439 + ... + 71818569.

It is an arithmetic number, because the mean of its divisors is an integer number (2333874816).

Almost surely, 2153043101024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153043101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224051982336).

153043101024 is an abundant number, since it is smaller than the sum of its proper divisors (295060863648).

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

153043101024 is a wasteful number, since it uses less digits than its factorization.

153043101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 153043101024 its reverse (420101340351), we get a palindrome (573144441375).

The spelling of 153043101024 in words is "one hundred fifty-three billion, forty-three million, one hundred one thousand, twenty-four".