Search a number
-
+
1233131312 = 247171989383
BaseRepresentation
bin100100110000000…
…0001011100110000
310011221100120011002
41021200001130300
510011140200222
6322210141132
742362305010
oct11140013460
93157316132
101233131312
11583085896
122a4b817a8
131686247ca
14b9ab5c40
15733d2392
hex49801730

1233131312 has 160 divisors (see below), whose sum is σ = 3085516800. Its totient is φ = 464707584.

The previous prime is 1233131309. The next prime is 1233131323. The reversal of 1233131312 is 2131313321.

It is a super-2 number, since 2×12331313122 = 3041225665269682688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3219473 + ... + 3219855.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 21233131312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542758400).

1233131312 is an abundant number, since it is smaller than the sum of its proper divisors (1852385488).

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

1233131312 is a wasteful number, since it uses less digits than its factorization.

1233131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1233131312 is about 35115.9694725918. The cubic root of 1233131312 is about 1072.3497178961.

Adding to 1233131312 its reverse (2131313321), we get a palindrome (3364444633).

The spelling of 1233131312 in words is "one billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 89 112 119 133 136 152 178 238 266 272 304 323 356 383 476 532 623 646 712 766 952 1064 1246 1292 1424 1513 1532 1691 1904 2128 2261 2492 2584 2681 3026 3064 3382 4522 4984 5168 5362 6052 6128 6511 6764 7277 9044 9968 10591 10724 11837 12104 13022 13528 14554 18088 21182 21448 23674 24208 26044 27056 28747 29108 34087 36176 42364 42896 45577 47348 50939 52088 57494 58216 68174 84728 91154 94696 101878 104176 114988 116432 123709 136348 169456 182308 189392 201229 203756 229976 238609 247418 272696 364616 402458 407512 459952 477218 494836 545392 579479 647653 729232 804916 815024 865963 954436 989672 1158958 1295306 1609832 1731926 1908872 1979344 2317916 2590612 3219664 3463852 3817744 4056353 4533571 4635832 5181224 6927704 8112706 9067142 9271664 10362448 11010101 13855408 16225412 18134284 22020202 32450824 36268568 44040404 64901648 72537136 77070707 88080808 154141414 176161616 308282828 616565656 1233131312