Search a number
-
+
10304483121 = 34112792
BaseRepresentation
bin10011001100011000…
…11110111100110001
3222121010200222110000
421212030132330301
5132100421424441
64422300500213
7513232442562
oct114614367461
928533628400
1010304483121
114408680759
121bb6b4a669
13c82ac79ba
146da782169
154049a52b6
hex26631ef31

10304483121 has 15 divisors (see below), whose sum is σ = 15394481641. Its totient is φ = 6869046348.

The previous prime is 10304483081. The next prime is 10304483129. The reversal of 10304483121 is 12138440301.

The square root of 10304483121 is 101511.

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

10304483121 is a `hidden beast` number, since 1 + 0 + 304 + 48 + 312 + 1 = 666.

It is not a de Polignac number, because 10304483121 - 211 = 10304481073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10304483129) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 907960 + ... + 919238.

Almost surely, 210304483121 is an apocalyptic number.

10304483121 is the 101511-st square number.

10304483121 is the 50756-th centered octagonal number.

It is an amenable number.

10304483121 is a deficient number, since it is larger than the sum of its proper divisors (5089998520).

10304483121 is an frugal number, since it uses more digits than its factorization.

10304483121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22570 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 10304483121 by its product of nonzero digits (2304), we get a square (23741529110784 = 48725282).

The spelling of 10304483121 in words is "ten billion, three hundred four million, four hundred eighty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 11279 33837 101511 304533 913599 127215841 381647523 1144942569 3434827707 10304483121