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1219341330 = 23358635233
BaseRepresentation
bin100100010101101…
…1010110000010010
310010222101221212000
41020223122300102
54444122410310
6320554414430
742134141664
oct11053326022
93128357760
101219341330
11576317209
122a0431416
13165806b5c
14b7d26534
15720ab4c0
hex48adac12

1219341330 has 64 divisors (see below), whose sum is σ = 3255966720. Its totient is φ = 324718848.

The previous prime is 1219341329. The next prime is 1219341367. The reversal of 1219341330 is 331439121.

1219341330 is a `hidden beast` number, since 1 + 219 + 3 + 413 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1219341294 and 1219341303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230394 + ... + 235626.

It is an arithmetic number, because the mean of its divisors is an integer number (50874480).

Almost surely, 21219341330 is an apocalyptic number.

1219341330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1219341330 is an abundant number, since it is smaller than the sum of its proper divisors (2036625390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1219341330 is a wasteful number, since it uses less digits than its factorization.

1219341330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1219341330 is about 34919.0682865394. The cubic root of 1219341330 is about 1068.3373981336.

The spelling of 1219341330 in words is "one billion, two hundred nineteen million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 863 1726 2589 4315 5178 5233 7767 8630 10466 12945 15534 15699 23301 25890 26165 31398 38835 46602 47097 52330 77670 78495 94194 116505 141291 156990 233010 235485 282582 470970 706455 1412910 4516079 9032158 13548237 22580395 27096474 40644711 45160790 67741185 81289422 121934133 135482370 203223555 243868266 406447110 609670665 1219341330