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53124054100 = 22521348783911
BaseRepresentation
bin110001011110011100…
…001011110001010100
312002010022021120012021
4301132130023301110
51332244224212400
640223240502524
73560315003125
oct613634136124
9162108246167
1053124054100
1120591164147
12a36717aa44
13501806a550
1427dd5ca04c
1515adc9071a
hexc5e70bc54

53124054100 has 72 divisors (see below), whose sum is σ = 124403232128. Its totient is φ = 19574524800.

The previous prime is 53124054083. The next prime is 53124054107. The reversal of 53124054100 is 145042135.

It is a happy number.

53124054100 is digitally balanced in base 2, 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53124054107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591145 + ... + 675055.

Almost surely, 253124054100 is an apocalyptic number.

53124054100 is a gapful number since it is divisible by the number (50) 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 53124054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62201616064).

53124054100 is an abundant number, since it is smaller than the sum of its proper divisors (71279178028).

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

53124054100 is a wasteful number, since it uses less digits than its factorization.

53124054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84425 (or 84418 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 53124054100 its reverse (145042135), we get a palindrome (53269096235).

The spelling of 53124054100 in words is "fifty-three billion, one hundred twenty-four million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 487 650 974 1300 1948 2435 4870 6331 9740 12175 12662 24350 25324 31655 48700 63310 83911 126620 158275 167822 316550 335644 419555 633100 839110 1090843 1678220 2097775 2181686 4195550 4363372 5454215 8391100 10908430 21816860 27271075 40864657 54542150 81729314 109084300 163458628 204323285 408646570 531240541 817293140 1021616425 1062481082 2043232850 2124962164 2656202705 4086465700 5312405410 10624810820 13281013525 26562027050 53124054100