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13021102332 = 223271723132151
BaseRepresentation
bin11000010000001111…
…00100000011111100
31020121110111112102100
430020013210003330
5203131400233312
65552023225100
7640450354320
oct141007440374
936543445370
1013021102332
1155820889a7
1226348a8190
1312c687caa4
148b749d980
1551321e5dc
hex3081e40fc

13021102332 has 144 divisors (see below), whose sum is σ = 41561275392. Its totient is φ = 3349209600.

The previous prime is 13021102331. The next prime is 13021102343. The reversal of 13021102332 is 23320112031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021102331) 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, 32457 + ... + 164607.

It is an arithmetic number, because the mean of its divisors is an integer number (288619968).

Almost surely, 213021102332 is an apocalyptic number.

13021102332 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 13021102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780637696).

13021102332 is an abundant number, since it is smaller than the sum of its proper divisors (28540173060).

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

13021102332 is a wasteful number, since it uses less digits than its factorization.

13021102332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132208 (or 132203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021102332 its reverse (23320112031), we get a palindrome (36341214363).

The spelling of 13021102332 in words is "thirteen billion, twenty-one million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 476 483 612 644 714 782 828 966 1071 1173 1428 1449 1564 1932 2142 2346 2737 2898 3519 4284 4692 5474 5796 7038 8211 10948 14076 16422 24633 32844 49266 98532 132151 264302 396453 528604 792906 925057 1189359 1585812 1850114 2246567 2378718 2775171 3039473 3700228 4493134 4757436 5550342 6078946 6739701 8325513 8986268 9118419 11100684 12157892 13479402 15725969 16651026 18236838 20219103 21276311 26958804 27355257 31451938 33302052 36473676 40438206 42552622 47177907 51671041 54710514 62903876 63828933 80876412 85105244 94355814 103342082 109421028 127657866 141533721 155013123 188711628 191486799 206684164 255315732 283067442 310026246 361697287 382973598 465039369 566134884 620052492 723394574 765947196 930078738 1085091861 1446789148 1860157476 2170183722 3255275583 4340367444 6510551166 13021102332