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52100125 = 537115413
BaseRepresentation
bin1100011010111…
…1110000011101
310122000221221021
43012233300131
5101314201000
65100404141
71201562260
oct306576035
9118027837
1052100125
1127455660
1215546651
13aa4229c
146cc2cd7
15489211a
hex31afc1d

52100125 has 32 divisors (see below), whose sum is σ = 81080064. Its totient is φ = 32472000.

The previous prime is 52100123. The next prime is 52100131.

52100125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52100125 - 21 = 52100123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52100099 and 52100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6919 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (2533752).

Almost surely, 252100125 is an apocalyptic number.

52100125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52100125 is a deficient number, since it is larger than the sum of its proper divisors (28979939).

52100125 is a wasteful number, since it uses less digits than its factorization.

52100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 52100125 is about 7218.0416319110. The cubic root of 52100125 is about 373.4905247034.

It can be divided in two parts, 52100 and 125, that added together give a palindrome (52225).

The spelling of 52100125 in words is "fifty-two million, one hundred thousand, one hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 125 175 275 385 875 1375 1925 5413 9625 27065 37891 59543 135325 189455 297715 416801 676625 947275 1488575 2084005 4736375 7442875 10420025 52100125