Search a number
-
+
1129900993 = 1389419721
BaseRepresentation
bin100001101011000…
…1110101111000001
32220202002220202221
41003112032233001
54303223312433
6304041411041
736666666664
oct10326165701
92822086687
101129900993
1152a888381
12276499a81
1315011c890
14aa0c36db
15692e072d
hex4358ebc1

1129900993 has 8 divisors (see below), whose sum is σ = 1217077736. Its totient is φ = 1042761600.

The previous prime is 1129900979. The next prime is 1129900997. The reversal of 1129900993 is 3990099211.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 1128489649 = 1188^2 + 33593^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1129900993 - 221 = 1127803841 is a prime.

It is a super-3 number, since 3×11299009933 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1129900997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111373 + ... + 121093.

It is an arithmetic number, because the mean of its divisors is an integer number (152134717).

Almost surely, 21129900993 is an apocalyptic number.

1129900993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1129900993 is a deficient number, since it is larger than the sum of its proper divisors (87176743).

1129900993 is an equidigital number, since it uses as much as digits as its factorization.

1129900993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18675.

The product of its (nonzero) digits is 39366, while the sum is 43.

The square root of 1129900993 is about 33613.9999553757. Note that the first 4 decimals coincide. The cubic root of 1129900993 is about 1041.5500164315.

The spelling of 1129900993 in words is "one billion, one hundred twenty-nine million, nine hundred thousand, nine hundred ninety-three".

Divisors: 1 13 8941 9721 116233 126373 86915461 1129900993