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130152330132 = 22311310180681
BaseRepresentation
bin111100100110110101…
…1101111001110010100
3110102221112120102021120
41321031223233032110
54113022444031012
6135442520043540
712255203360346
oct1711553571624
9412845512246
10130152330132
1150219663000
12212839035b0
13c37260b1c6
1464297dd296
1535bb40358c
hex1e4daef394

130152330132 has 96 divisors (see below), whose sum is σ = 337346287488. Its totient is φ = 39049120000.

The previous prime is 130152330083. The next prime is 130152330137. The reversal of 130152330132 is 231033251031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130152330137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572832 + ... + 1653512.

It is an arithmetic number, because the mean of its divisors is an integer number (3514023828).

Almost surely, 2130152330132 is an apocalyptic number.

130152330132 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 130152330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168673143744).

130152330132 is an abundant number, since it is smaller than the sum of its proper divisors (207193957356).

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

130152330132 is a wasteful number, since it uses less digits than its factorization.

130152330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80822 (or 80798 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 130152330132 its reverse (231033251031), we get a palindrome (361185581163).

The spelling of 130152330132 in words is "one hundred thirty billion, one hundred fifty-two million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1331 1452 2222 2662 3333 3993 4444 5324 6666 7986 12221 13332 15972 24442 36663 48884 73326 80681 134431 146652 161362 242043 268862 322724 403293 484086 537724 806586 887491 968172 1613172 1774982 2662473 3549964 5324946 8148781 9762401 10649892 16297562 19524802 24446343 29287203 32595124 39049604 48892686 58574406 89636591 97785372 107386411 117148812 179273182 214772822 268909773 322159233 358546364 429545644 537819546 644318466 986002501 1075639092 1288636932 1972005002 2958007503 3944010004 5916015006 10846027511 11832030012 21692055022 32538082533 43384110044 65076165066 130152330132