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121171316 = 22721016121
BaseRepresentation
bin1110011100011…
…10110101110100
322110000010210112
413032032311310
5222004440231
620005042152
73000640100
oct716166564
9273003715
10121171316
1162441892
12346b6358
131c147106
1412142900
15a98792b
hex738ed74

121171316 has 36 divisors (see below), whose sum is σ = 249153156. Its totient is φ = 51408000.

The previous prime is 121171283. The next prime is 121171321. The reversal of 121171316 is 613171121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69388900 + 51782416 = 8330^2 + 7196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121171291 and 121171300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16736 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (6920921).

Almost surely, 2121171316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121171316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124576578).

121171316 is an abundant number, since it is smaller than the sum of its proper divisors (127981840).

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

121171316 is a wasteful number, since it uses less digits than its factorization.

121171316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6231 counting only the distinct ones).

The product of its digits is 252, while the sum is 23.

The square root of 121171316 is about 11007.7843365502. The cubic root of 121171316 is about 494.8420623224.

It can be divided in two parts, 1211 and 71316, that added together give a palindrome (72527).

The spelling of 121171316 in words is "one hundred twenty-one million, one hundred seventy-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4949 6121 9898 12242 19796 24484 42847 85694 171388 299929 599858 618221 1199716 1236442 2472884 4327547 8655094 17310188 30292829 60585658 121171316