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1213505319 = 3131929149379
BaseRepresentation
bin100100001010100…
…1001111100100111
310010120102110100110
41020111021330213
54441124132234
6320225344103
742033424245
oct11025117447
93116373313
101213505319
11572aa0564
1229a498033
131645426b0
14b7247795
15718071e9
hex48549f27

1213505319 has 64 divisors (see below), whose sum is σ = 1915200000. Its totient is φ = 676698624.

The previous prime is 1213505303. The next prime is 1213505327. The reversal of 1213505319 is 9135053121.

It is not a de Polignac number, because 1213505319 - 24 = 1213505303 is a prime.

It is a super-2 number, since 2×12135053192 = 2945190318482583522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213505329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3201672 + ... + 3202050.

It is an arithmetic number, because the mean of its divisors is an integer number (29925000).

Almost surely, 21213505319 is an apocalyptic number.

1213505319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1213505319 is a deficient number, since it is larger than the sum of its proper divisors (701694681).

1213505319 is a wasteful number, since it uses less digits than its factorization.

1213505319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 1213505319 is about 34835.4032415300. The cubic root of 1213505319 is about 1066.6302462934.

The spelling of 1213505319 in words is "one billion, two hundred thirteen million, five hundred five thousand, three hundred nineteen".

Divisors: 1 3 13 19 29 39 57 87 149 247 377 379 447 551 741 1131 1137 1653 1937 2831 4321 4927 5811 7163 7201 8493 10991 12963 14781 21489 21603 32973 36803 56173 56471 82099 93613 110409 142883 168519 169413 208829 246297 280839 428649 626487 734123 1067287 1072949 1637659 2202369 2714777 3201861 3218847 4912977 8144331 13948337 21289567 31115521 41845011 63868701 93346563 404501773 1213505319