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130014403332 = 2231124137310957
BaseRepresentation
bin111100100010101110…
…1100101101100000100
3110102120221001000021120
41321011131211230010
54112232141401312
6135421111513540
712251610123402
oct1710535455404
9412527030246
10130014403332
1150158817610
12212456888b0
13c34cb78708
146415378472
1535ae25b28c
hex1e45765b04

130014403332 has 96 divisors (see below), whose sum is σ = 333240319104. Its totient is φ = 39126067200.

The previous prime is 130014403283. The next prime is 130014403367. The reversal of 130014403332 is 233304410031.

It is a super-3 number, since 3×1300144033323 (a number of 34 digits) contains 333 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, 11860398 + ... + 11871354.

It is an arithmetic number, because the mean of its divisors is an integer number (3471253324).

Almost surely, 2130014403332 is an apocalyptic number.

130014403332 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 130014403332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166620159552).

130014403332 is an abundant number, since it is smaller than the sum of its proper divisors (203225915772).

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

130014403332 is a wasteful number, since it uses less digits than its factorization.

130014403332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11589 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130014403332 its reverse (233304410031), we get a palindrome (363318813363).

The spelling of 130014403332 in words is "one hundred thirty billion, fourteen million, four hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 373 482 723 746 964 1119 1446 1492 2238 2651 2892 4103 4476 5302 7953 8206 10604 10957 12309 15906 16412 21914 24618 31812 32871 43828 49236 65742 89893 120527 131484 179786 241054 269679 359572 361581 482108 539358 723162 988823 1078716 1446324 1977646 2640637 2966469 3955292 4086961 5281274 5932938 7921911 8173922 10562548 11865876 12260883 15843822 16347844 24521766 29047007 31687644 44956571 49043532 58094014 87141021 89913142 116188028 134869713 174282042 179826284 269739426 348564084 539478852 984957601 1969915202 2954872803 3939830404 5909745606 10834533611 11819491212 21669067222 32503600833 43338134444 65007201666 130014403332