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13300213212 = 223211134360083
BaseRepresentation
bin11000110001100000…
…10010010111011100
31021022220200211120100
430120300102113130
5204214323310322
610035433421100
7650406642546
oct143060222734
937286624510
1013300213212
115705695050
1226b226a790
13133c645860
14902596696
1552c9a3dac
hex318c125dc

13300213212 has 144 divisors (see below), whose sum is σ = 40416824448. Its totient is φ = 3633759360.

The previous prime is 13300213187. The next prime is 13300213259. The reversal of 13300213212 is 21231200331.

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

It is a congruent number.

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, 191323 + ... + 251405.

It is an arithmetic number, because the mean of its divisors is an integer number (280672392).

Almost surely, 213300213212 is an apocalyptic number.

13300213212 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 13300213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208412224).

13300213212 is an abundant number, since it is smaller than the sum of its proper divisors (27116611236).

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

13300213212 is a wasteful number, since it uses less digits than its factorization.

13300213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60160 (or 60155 counting only the distinct ones).

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

Adding to 13300213212 its reverse (21231200331), we get a palindrome (34531413543).

The spelling of 13300213212 in words is "thirteen billion, three hundred million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 43 44 52 66 78 86 99 117 129 132 143 156 172 198 234 258 286 387 396 429 468 473 516 559 572 774 858 946 1118 1287 1419 1548 1677 1716 1892 2236 2574 2838 3354 4257 5031 5148 5676 6149 6708 8514 10062 12298 17028 18447 20124 24596 36894 55341 60083 73788 110682 120166 180249 221364 240332 360498 540747 660913 720996 781079 1081494 1321826 1562158 1982739 2162988 2343237 2583569 2643652 3124316 3965478 4686474 5167138 5948217 7029711 7750707 7930956 8591869 9372948 10334276 11896434 14059422 15501414 17183738 23252121 23792868 25775607 28118844 28419259 31002828 33586397 34367476 46504242 51551214 56838518 67172794 77326821 85257777 93008484 100759191 103102428 113677036 134345588 154653642 170515554 201518382 255773331 302277573 309307284 341031108 369450367 403036764 511546662 604555146 738900734 1023093324 1108351101 1209110292 1477801468 2216702202 3325053303 4433404404 6650106606 13300213212