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2353317121 = 13923492
BaseRepresentation
bin1000110001000100…
…1100010100000001
320002000011220012101
42030101030110001
514304422121441
61025303430401
7112213602601
oct21421142401
96060156171
102353317121
11aa8427a91
12558155401
132b672234c
1418478ac01
15db904231
hex8c44c501

2353317121 has 9 divisors (see below), whose sum is σ = 2377180611. Its totient is φ = 2329692264.

The previous prime is 2353317101. The next prime is 2353317137. The reversal of 2353317121 is 1217133532.

The square root of 2353317121 is 48511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1727316721 + 626000400 = 41561^2 + 25020^2 .

It is not a de Polignac number, because 2353317121 - 217 = 2353186049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2353317121.

It is not an unprimeable number, because it can be changed into a prime (2353317101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6742855 + ... + 6743203.

It is an arithmetic number, because the mean of its divisors is an integer number (264131179).

Almost surely, 22353317121 is an apocalyptic number.

2353317121 is the 48511-st square number.

2353317121 is the 24256-th centered octagonal number.

It is an amenable number.

2353317121 is a deficient number, since it is larger than the sum of its proper divisors (23863490).

2353317121 is an frugal number, since it uses more digits than its factorization.

2353317121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 488 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The cubic root of 2353317121 is about 1330.1281503518.

The spelling of 2353317121 in words is "two billion, three hundred fifty-three million, three hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 139 349 19321 48511 121801 6743029 16930339 2353317121