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102012201202212 = 22337263397304063
BaseRepresentation
bin10111001100011110010001…
…000000111111001000100100
3111101012021022200212200011000
4113030132101000333020210
5101332331442001432322
61000543431441513300
730326065305146400
oct2714362100771044
9441167280780130
10102012201202212
112a56014a142854
12b536793942830
1344bc92b42a3a2
141b295b9cd6100
15bbd888a133ac
hex5cc79103f224

102012201202212 has 144 divisors (see below), whose sum is σ = 307661709573120. Its totient is φ = 29145787602624.

The previous prime is 102012201202207. The next prime is 102012201202337. The reversal of 102012201202212 is 212202102210201.

It is a happy number.

102012201202212 is a `hidden beast` number, since 1 + 0 + 201 + 220 + 1 + 20 + 221 + 2 = 666.

It is a super-2 number, since 2×1020122012022122 (a number of 29 digits) contains 22 as substring.

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, 335344893 + ... + 335648955.

Almost surely, 2102012201202212 is an apocalyptic number.

102012201202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012201202212 is an abundant number, since it is smaller than the sum of its proper divisors (205649508370908).

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

102012201202212 is a wasteful number, since it uses less digits than its factorization.

102012201202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367487 (or 367472 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012201202212 its reverse (212202102210201), we get a palindrome (314214303412413).

The spelling of 102012201202212 in words is "one hundred two trillion, twelve billion, two hundred one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 63397 126794 190191 253588 304063 380382 443779 570573 608126 760764 887558 912189 1141146 1216252 1331337 1711719 1775116 1824378 2128441 2282292 2662674 2736567 3106453 3423438 3648756 3994011 4256882 5325348 5473134 6212906 6385323 6846876 7988022 8209701 8513764 9319359 10946268 11982033 12425812 12770646 14899087 15976044 16419402 18638718 19155969 23964066 25541292 27958077 29798174 32838804 37277436 38311938 44697261 47928132 55916154 57467907 59596348 76623876 83874231 89394522 111832308 114935814 134091783 167748462 178789044 229871628 268183566 335496924 402275349 536367132 804550698 1609101396 19276682011 38553364022 57830046033 77106728044 115660092066 134936774077 173490138099 231320184132 269873548154 346980276198 404810322231 520470414297 539747096308 693960552396 809620644462 944557418539 1040940828594 1214430966693 1619241288924 1889114837078 2081881657188 2428861933386 2833672255617 3643292900079 3778229674156 4857723866772 5667344511234 7286585800158 8501016766851 11334689022468 14573171600316 17002033533702 25503050300553 34004067067404 51006100601106 102012201202212