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261202122 = 232236110343
BaseRepresentation
bin11111001000110…
…10000011001010
3200012111102221200
433210122003022
51013331431442
641530245030
76321116136
oct1744320312
9605442850
10261202122
11124495025
1273586776
134216548c
14269943c6
1517de834c
hexf91a0ca

261202122 has 48 divisors (see below), whose sum is σ = 600283008. Its totient is φ = 81908640.

The previous prime is 261202091. The next prime is 261202133. The reversal of 261202122 is 221202162.

261202122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 261202095 and 261202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20083 + ... + 30425.

It is an arithmetic number, because the mean of its divisors is an integer number (12505896).

Almost surely, 2261202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300141504).

261202122 is an abundant number, since it is smaller than the sum of its proper divisors (339080886).

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

261202122 is a wasteful number, since it uses less digits than its factorization.

261202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 261202122 is about 16161.7487296394. The cubic root of 261202122 is about 639.2325778755.

Adding to 261202122 its reverse (221202162), we get a palindrome (482404284).

The spelling of 261202122 in words is "two hundred sixty-one million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 2806 4209 8418 10343 12627 20686 25254 31029 62058 93087 186174 237889 475778 630923 713667 1261846 1427334 1892769 2141001 3785538 4282002 5678307 11356614 14511229 29022458 43533687 87067374 130601061 261202122