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130321343412 = 2232132985311257
BaseRepresentation
bin111100101011111000…
…0011110001110110100
3110110101022121011220200
41321113300132032310
54113344230442122
6135511354400500
712262325066421
oct1712760361664
9413338534820
10130321343412
11502a60011a7
1221310430130
13c39b636370
146444036d48
1535cb18b5ac
hex1e57c1e3b4

130321343412 has 144 divisors (see below), whose sum is σ = 367459769040. Its totient is φ = 38667331584.

The previous prime is 130321343401. The next prime is 130321343429. The reversal of 130321343412 is 214343123031.

It is a happy number.

130321343412 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 213 + 434 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8678040336 + 121643303076 = 93156^2 + 348774^2 .

It is a congruent number.

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, 11571288 + ... + 11582544.

Almost surely, 2130321343412 is an apocalyptic number.

130321343412 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 130321343412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183729884520).

130321343412 is an abundant number, since it is smaller than the sum of its proper divisors (237138425628).

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

130321343412 is a wasteful number, since it uses less digits than its factorization.

130321343412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130321343412 its reverse (214343123031), we get a palindrome (344664466443).

The spelling of 130321343412 in words is "one hundred thirty billion, three hundred twenty-one million, three hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 853 1044 1131 1508 1706 2262 2559 3393 3412 4524 5118 6786 7677 10236 11089 11257 13572 15354 22178 22514 24737 30708 33267 33771 44356 45028 49474 66534 67542 74211 98948 99801 101313 133068 135084 146341 148422 199602 202626 222633 292682 296844 321581 326453 399204 405252 439023 445266 585364 643162 652906 878046 890532 964743 979359 1286324 1305812 1317069 1756092 1929486 1958718 2634138 2894229 2938077 3858972 3917436 4243889 5268276 5788458 5876154 8487778 9602221 11576916 11752308 12731667 16975556 19204442 25463334 28806663 38195001 38408884 50926668 57613326 76390002 86419989 115226652 124828873 152780004 172839978 249657746 278464409 345679956 374486619 499315492 556928818 748973238 835393227 1113857636 1123459857 1497946476 1670786454 2246919714 2506179681 3341572908 3620037317 4493839428 5012359362 7240074634 10024718724 10860111951 14480149268 21720223902 32580335853 43440447804 65160671706 130321343412