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12006100166970 = 23571343102275323
BaseRepresentation
bin1010111010110110001101…
…0101011110100100111010
31120111202211202121200201110
42232231203111132210322
53033201443120320340
641311305401501150
72346261232406610
oct256554325364472
946452752550643
1012006100166970
113909838600608
12141aa427a17b6
1369122a45a140
142d7153c236b0
1515c48d742680
hexaeb6355e93a

12006100166970 has 128 divisors (see below), whose sum is σ = 36288921360384. Its totient is φ = 2474244589824.

The previous prime is 12006100166969. The next prime is 12006100167037. The reversal of 12006100166970 is 7966100160021.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51020272 + ... + 51255051.

It is an arithmetic number, because the mean of its divisors is an integer number (283507198128).

Almost surely, 212006100166970 is an apocalyptic number.

12006100166970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12006100166970 is an abundant number, since it is smaller than the sum of its proper divisors (24282821193414).

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

12006100166970 is a wasteful number, since it uses less digits than its factorization.

12006100166970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102275396.

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 12006100166970 in words is "twelve trillion, six billion, one hundred million, one hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 43 65 70 78 86 91 105 129 130 182 195 210 215 258 273 301 390 430 455 546 559 602 645 903 910 1118 1290 1365 1505 1677 1806 2730 2795 3010 3354 3913 4515 5590 7826 8385 9030 11739 16770 19565 23478 39130 58695 117390 102275323 204550646 306825969 511376615 613651938 715927261 1022753230 1329579199 1431854522 1534129845 2147781783 2659158398 3068259690 3579636305 3988737597 4295563566 4397838889 6647895995 7159272610 7977475194 8795677778 9307054393 10738908915 13193516667 13295791990 18614108786 19943687985 21477817830 21989194445 26387033334 27921163179 30784872223 39887375970 43978388890 46535271965 55842326358 57171905557 61569744446 65967583335 92354616669 93070543930 114343811114 131935166670 139605815895 153924361115 171515716671 184709233338 279211631790 285859527785 307848722230 343031433342 400203338899 461773083345 571719055570 800406677798 857578583355 923546166690 1200610016697 1715157166710 2001016694495 2401220033394 4002033388990 6003050083485 12006100166970