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1320000311 = 74710338953
BaseRepresentation
bin100111010101101…
…1001101100110111
310101222210222000102
41032223121230313
510200410002221
6334552104315
744465550260
oct11653315467
93358728012
101320000311
11618118853
1230a09509b
1318061b596
14c7449967
157ad4130b
hex4ead9b37

1320000311 has 16 divisors (see below), whose sum is σ = 1555666944. Its totient is φ = 1096576704.

The previous prime is 1320000301. The next prime is 1320000329. The reversal of 1320000311 is 1130000231.

It is a cyclic number.

It is not a de Polignac number, because 1320000311 - 26 = 1320000247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1320000292 and 1320000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14411 + ... + 53363.

It is an arithmetic number, because the mean of its divisors is an integer number (97229184).

Almost surely, 21320000311 is an apocalyptic number.

1320000311 is a deficient number, since it is larger than the sum of its proper divisors (235666633).

1320000311 is a wasteful number, since it uses less digits than its factorization.

1320000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39110.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1320000311 is about 36331.8085291663. The cubic root of 1320000311 is about 1096.9613966368.

Adding to 1320000311 its reverse (1130000231), we get a palindrome (2450000542).

The spelling of 1320000311 in words is "one billion, three hundred twenty million, three hundred eleven", and thus it is an aban number.

Divisors: 1 7 47 103 329 721 4841 33887 38953 272671 1830791 4012159 12815537 28085113 188571473 1320000311