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13431151530 = 23252325725247
BaseRepresentation
bin11001000001000111…
…10001101110101010
31021200001002012011200
430200203301232222
5210001333322110
610100432105030
7653556622116
oct144043615652
937601065150
1013431151530
115772597a35
12272a095176
1313607cc454
14915b1c746
1553921a6c0
hex3208f1baa

13431151530 has 96 divisors (see below), whose sum is σ = 36582534144. Its totient is φ = 3412451328.

The previous prime is 13431151493. The next prime is 13431151537. The reversal of 13431151530 is 3515113431.

It is a happy number.

13431151530 is a `hidden beast` number, since 13 + 4 + 3 + 115 + 1 + 530 = 666.

It is a super-3 number, since 3×134311515303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13431151494 and 13431151503.

It is not an unprimeable number, because it can be changed into a prime (13431151537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519367 + ... + 544613.

It is an arithmetic number, because the mean of its divisors is an integer number (381068064).

Almost surely, 213431151530 is an apocalyptic number.

13431151530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431151530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291267072).

13431151530 is an abundant number, since it is smaller than the sum of its proper divisors (23151382614).

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

13431151530 is a wasteful number, since it uses less digits than its factorization.

13431151530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25540 (or 25537 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13431151530 its reverse (3515113431), we get a palindrome (16946264961).

The spelling of 13431151530 in words is "thirteen billion, four hundred thirty-one million, one hundred fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 257 345 414 514 690 771 1035 1285 1542 2070 2313 2570 3855 4626 5911 7710 11565 11822 17733 23130 25247 29555 35466 50494 53199 59110 75741 88665 106398 126235 151482 177330 227223 252470 265995 378705 454446 531990 580681 757410 1136115 1161362 1742043 2272230 2903405 3484086 5226129 5806810 6488479 8710215 10452258 12976958 17420430 19465437 26130645 32442395 38930874 52261290 58396311 64884790 97327185 116792622 149235017 194654370 291981555 298470034 447705051 583963110 746175085 895410102 1343115153 1492350170 2238525255 2686230306 4477050510 6715575765 13431151530