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1320213132 = 2232717378329
BaseRepresentation
bin100111010110000…
…1101101010001100
310102000012202221200
41032230031222030
510200433310012
6335000425500
744500424610
oct11654155214
93360182850
101320213132
11618253737
1230a178290
13180694404
14c74a3340
157ad843dc
hex4eb0da8c

1320213132 has 144 divisors (see below), whose sum is σ = 4147940160. Its totient is φ = 345378816.

The previous prime is 1320213101. The next prime is 1320213211. The reversal of 1320213132 is 2313120231.

1320213132 is a `hidden beast` number, since 1 + 320 + 213 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154344 + ... + 162672.

It is an arithmetic number, because the mean of its divisors is an integer number (28805140).

Almost surely, 21320213132 is an apocalyptic number.

1320213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073970080).

1320213132 is an abundant number, since it is smaller than the sum of its proper divisors (2827727028).

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

1320213132 is a wasteful number, since it uses less digits than its factorization.

1320213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1320213132 is about 36334.7372633958. The cubic root of 1320213132 is about 1097.0203470966.

Adding to 1320213132 its reverse (2313120231), we get a palindrome (3633333363).

The spelling of 1320213132 in words is "one billion, three hundred twenty million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 37 42 51 63 68 74 84 102 111 119 126 148 153 204 222 238 252 259 306 333 357 444 476 518 612 629 666 714 777 1036 1071 1258 1332 1428 1554 1887 2142 2331 2516 3108 3774 4284 4403 4662 5661 7548 8329 8806 9324 11322 13209 16658 17612 22644 24987 26418 33316 39627 49974 52836 58303 74961 79254 99948 116606 141593 149922 158508 174909 233212 283186 299844 308173 349818 424779 524727 566372 616346 699636 849558 924519 991151 1049454 1232692 1274337 1699116 1849038 1982302 2098908 2157211 2548674 2773557 2973453 3698076 3964604 4314422 5097348 5238941 5547114 5946906 6471633 8628844 8920359 10477882 11094228 11893812 12943266 15716823 17840718 19414899 20955764 25886532 31433646 35681436 36672587 38829798 47150469 62867292 73345174 77659596 94300938 110017761 146690348 188601876 220035522 330053283 440071044 660106566 1320213132