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1012409319 = 319157113131
BaseRepresentation
bin111100010110000…
…010001111100111
32121120000201111110
4330112002033213
54033134044234
6244243240103
734042223445
oct7426021747
92546021443
101012409319
1147a52a119
12243079033
1313199358c
149865bb95
155dd331e9
hex3c5823e7

1012409319 has 16 divisors (see below), whose sum is σ = 1429988480. Its totient is φ = 635338080.

The previous prime is 1012409317. The next prime is 1012409341. The reversal of 1012409319 is 9139042101.

It is not a de Polignac number, because 1012409319 - 21 = 1012409317 is a prime.

It is a super-2 number, since 2×10124093192 = 2049945258396087522, 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 (1012409311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47617 + ... + 65514.

It is an arithmetic number, because the mean of its divisors is an integer number (89374280).

Almost surely, 21012409319 is an apocalyptic number.

1012409319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1012409319 is a deficient number, since it is larger than the sum of its proper divisors (417579161).

1012409319 is a wasteful number, since it uses less digits than its factorization.

1012409319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113310.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1012409319 is about 31818.3802070439. The cubic root of 1012409319 is about 1004.1194465249.

The spelling of 1012409319 in words is "one billion, twelve million, four hundred nine thousand, three hundred nineteen".

Divisors: 1 3 19 57 157 471 2983 8949 113131 339393 2149489 6448467 17761567 53284701 337469773 1012409319