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1027112949 = 32472428163
BaseRepresentation
bin111101001110000…
…111111111110101
32122120200202002100
4331032013333311
54100420103244
6245530332313
734311213252
oct7516077765
92576622070
101027112949
11487862185
12247b8a099
13134a41055
149a5a8429
1560289b69
hex3d387ff5

1027112949 has 12 divisors (see below), whose sum is σ = 1515174336. Its totient is φ = 670172712.

The previous prime is 1027112941. The next prime is 1027112951. The reversal of 1027112949 is 9492117201.

It is not a de Polignac number, because 1027112949 - 23 = 1027112941 is a prime.

It is a super-2 number, since 2×10271129492 = 2109922020006953202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027112941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1213659 + ... + 1214504.

It is an arithmetic number, because the mean of its divisors is an integer number (126264528).

Almost surely, 21027112949 is an apocalyptic number.

It is an amenable number.

1027112949 is a deficient number, since it is larger than the sum of its proper divisors (488061387).

1027112949 is a wasteful number, since it uses less digits than its factorization.

1027112949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428216 (or 2428213 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1027112949 is about 32048.6029180681. The cubic root of 1027112949 is about 1008.9571790619.

It can be divided in two parts, 10271 and 12949, that added together give a triangular number (23220 = T215).

The spelling of 1027112949 in words is "one billion, twenty-seven million, one hundred twelve thousand, nine hundred forty-nine".

Divisors: 1 3 9 47 141 423 2428163 7284489 21853467 114123661 342370983 1027112949