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53152313121 = 3241673214033
BaseRepresentation
bin110001100000000111…
…111110111100100001
312002012021110021021200
4301200013332330201
51332323443004441
640230130311413
73561110131005
oct614007767441
9162167407250
1053152313121
11205a6105606
12a374728569
135020b82c6b
142803264705
1515b14c37b6
hexc601fef21

53152313121 has 24 divisors (see below), whose sum is σ = 78765368136. Its totient is φ = 34519080960.

The previous prime is 53152313119. The next prime is 53152313131. The reversal of 53152313121 is 12131325135.

53152313121 is a `hidden beast` number, since 5 + 3 + 1 + 523 + 13 + 121 = 666.

53152313121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3483950625 + 49668362496 = 59025^2 + 222864^2 .

It is not a de Polignac number, because 53152313121 - 21 = 53152313119 is a prime.

It is a super-2 number, since 2×531523131212 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53152313131) 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, 141321 + ... + 355353.

It is an arithmetic number, because the mean of its divisors is an integer number (3281890339).

Almost surely, 253152313121 is an apocalyptic number.

It is an amenable number.

53152313121 is a deficient number, since it is larger than the sum of its proper divisors (25613055015).

53152313121 is a wasteful number, since it uses less digits than its factorization.

53152313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214753 (or 214750 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

Adding to 53152313121 its reverse (12131325135), we get a palindrome (65283638256).

It can be divided in two parts, 531523 and 13121, that added together give a square (544644 = 7382).

The spelling of 53152313121 in words is "fifty-three billion, one hundred fifty-two million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 369 673 2019 6057 27593 82779 214033 248337 642099 1926297 8775353 26326059 78978177 144044209 432132627 1296397881 5905812569 17717437707 53152313121