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202114125 = 3253179657
BaseRepresentation
bin11000000110000…
…00010001001101
3112002022110110100
430003000101031
5403220123000
632020001313
75002641003
oct1403002115
9462273410
10202114125
11a40a7374
1257830239
1332b47675
141cbb2a73
1512b25a00
hexc0c044d

202114125 has 24 divisors (see below), whose sum is σ = 364346424. Its totient is φ = 107793600.

The previous prime is 202114123. The next prime is 202114127. The reversal of 202114125 is 521411202.

It is an interprime number because it is at equal distance from previous prime (202114123) and next prime (202114127).

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 201952521 = 402^2 + 14211^2 .

It is not a de Polignac number, because 202114125 - 21 = 202114123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202114098 and 202114107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202114123) 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, 88704 + ... + 90953.

It is an arithmetic number, because the mean of its divisors is an integer number (15181101).

Almost surely, 2202114125 is an apocalyptic number.

202114125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202114125 is a deficient number, since it is larger than the sum of its proper divisors (162232299).

202114125 is a wasteful number, since it uses less digits than its factorization.

202114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179678 (or 179665 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 202114125 is about 14216.6847401214. The cubic root of 202114125 is about 586.8569091110.

Adding to 202114125 its reverse (521411202), we get a palindrome (723525327).

It can be divided in two parts, 20211 and 4125, that added together give a square (24336 = 1562).

The spelling of 202114125 in words is "two hundred two million, one hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 179657 538971 898285 1616913 2694855 4491425 8084565 13474275 22457125 40422825 67371375 202114125