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13002033132 = 22321167523937
BaseRepresentation
bin11000001101111101…
…10100011111101100
31020120010121201101200
430012332310133230
5203112010030012
65550102405500
7640126313064
oct140676643754
936503551350
1013002033132
115572343a30
12262a430890
1312c293423a
148b4b383a4
155117043dc
hex306fb47ec

13002033132 has 144 divisors (see below), whose sum is σ = 36497715072. Its totient is φ = 3869648640.

The previous prime is 13002033053. The next prime is 13002033151. The reversal of 13002033132 is 23133020031.

13002033132 is a `hidden beast` number, since 1 + 300 + 2 + 0 + 331 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13875768 + ... + 13876704.

Almost surely, 213002033132 is an apocalyptic number.

13002033132 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 13002033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248857536).

13002033132 is an abundant number, since it is smaller than the sum of its proper divisors (23495681940).

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

13002033132 is a wasteful number, since it uses less digits than its factorization.

13002033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13002033132 its reverse (23133020031), we get a palindrome (36135053163).

The spelling of 13002033132 in words is "thirteen billion, two million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 523 603 737 804 937 1046 1206 1474 1569 1874 2092 2211 2412 2811 2948 3138 3748 4422 4707 5622 5753 6276 6633 8433 8844 9414 10307 11244 11506 13266 16866 17259 18828 20614 23012 26532 30921 33732 34518 35041 41228 51777 61842 62779 69036 70082 92763 103554 105123 123684 125558 140164 185526 188337 207108 210246 251116 315369 371052 376674 385451 420492 490051 565011 630738 690569 753348 770902 980102 1130022 1156353 1261476 1381138 1470153 1541804 1960204 2071707 2260044 2312706 2762276 2940306 3469059 4143414 4410459 4625412 5390561 5880612 6215121 6938118 8286828 8820918 10781122 12430242 13876236 16171683 17641836 21562244 24860484 32343366 32833417 48515049 64686732 65666834 97030098 98500251 131333668 194060196 197000502 295500753 361167587 394001004 591001506 722335174 1083502761 1182003012 1444670348 2167005522 3250508283 4334011044 6501016566 13002033132