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13106323069812 = 223576728750259
BaseRepresentation
bin1011111010111000110110…
…1110110001101101110100
31201101221201012010002200000
42332232031232301231310
53204213222201213222
643512543420551300
72521620621650640
oct276561556615564
951357635102600
1013106323069812
1141a33a6767825
1215781150b2530
13740bc847b18b
143344c6b51c20
1517add3a739ac
hexbeb8dbb1b74

13106323069812 has 144 divisors (see below), whose sum is σ = 39851080389120. Its totient is φ = 3688773102432.

The previous prime is 13106323069771. The next prime is 13106323069901. The reversal of 13106323069812 is 21896032360131.

13106323069812 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 632 + 3 + 0 + 6 + 9 + 8 + 1 + 2 = 666.

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, 13919262 + ... + 14830997.

Almost surely, 213106323069812 is an apocalyptic number.

13106323069812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13106323069812 is an abundant number, since it is smaller than the sum of its proper divisors (26744757319308).

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

13106323069812 is a wasteful number, since it uses less digits than its factorization.

13106323069812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28750352 (or 28750338 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13106323069812 in words is "thirteen trillion, one hundred six billion, three hundred twenty-three million, sixty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 81 84 108 126 134 162 189 201 243 252 268 324 378 402 469 486 567 603 756 804 938 972 1134 1206 1407 1701 1809 1876 2268 2412 2814 3402 3618 4221 5427 5628 6804 7236 8442 10854 12663 16281 16884 21708 25326 32562 37989 50652 65124 75978 113967 151956 227934 455868 28750259 57500518 86250777 115001036 172501554 201251813 258752331 345003108 402503626 517504662 603755439 776256993 805007252 1035009324 1207510878 1552513986 1811266317 1926267353 2328770979 2415021756 3105027972 3622532634 3852534706 4657541958 5433798951 5778802059 6986312937 7245065268 7705069412 9315083916 10867597902 11557604118 13483871471 13972625874 16301396853 17336406177 21735195804 23115208236 26967742942 27945251748 32602793706 34672812354 40451614413 48904190559 52009218531 53935485884 65205587412 69345624708 80903228826 97808381118 104018437062 121354843239 156027655593 161806457652 195616762236 208036874124 242709686478 312055311186 364064529717 468082966779 485419372956 624110622372 728129059434 936165933558 1092193589151 1456258118868 1872331867116 2184387178302 3276580767453 4368774356604 6553161534906 13106323069812