Search a number
-
+
1012808719 = 13231971993
BaseRepresentation
bin111100010111100…
…011110000001111
32121120210000101001
4330113203300033
54033234334334
6244300001131
734045506046
oct7427436017
92546700331
101012808719
1147a7821aa
122432301a7
13131aa3300
149872355d
155ddb1714
hex3c5e3c0f

1012808719 has 24 divisors (see below), whose sum is σ = 1144332672. Its totient is φ = 894965760.

The previous prime is 1012808701. The next prime is 1012808729. The reversal of 1012808719 is 9178082101.

It is not a de Polignac number, because 1012808719 - 27 = 1012808591 is a prime.

It is a super-2 number, since 2×10128087192 = 2051563002564841922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012808729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507187 + ... + 509179.

It is an arithmetic number, because the mean of its divisors is an integer number (47680528).

Almost surely, 21012808719 is an apocalyptic number.

1012808719 is a deficient number, since it is larger than the sum of its proper divisors (131523953).

1012808719 is a wasteful number, since it uses less digits than its factorization.

1012808719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 37.

The square root of 1012808719 is about 31824.6558347455. The cubic root of 1012808719 is about 1004.2514723676.

The spelling of 1012808719 in words is "one billion, twelve million, eight hundred eight thousand, seven hundred nineteen".

Divisors: 1 13 31 97 169 403 1261 1993 3007 5239 16393 25909 39091 61783 193321 336817 508183 803179 2513173 5992951 10441327 32671249 77908363 1012808719