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12132020213100 = 22325223586087933
BaseRepresentation
bin1011000010001011010011…
…0000010101010101101100
31120221210212100101210210200
42300202310300111111230
53042232334133304400
641445212333233500
72361336525215664
oct260426460252554
946853770353720
1012132020213100
113958185146a37
12143b325032890
136a0076c97b88
142dd29b4c51a4
151608ad2dab00
hexb08b4c1556c

12132020213100 has 108 divisors (see below), whose sum is σ = 39680497483536. Its totient is φ = 3094544280960.

The previous prime is 12132020213087. The next prime is 12132020213129. The reversal of 12132020213100 is 131202023121.

12132020213100 is a `hidden beast` number, since 12 + 1 + 320 + 2 + 0 + 21 + 310 + 0 = 666.

It is a super-2 number, since 2×121320202131002 (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293023267 + ... + 293064666.

Almost surely, 212132020213100 is an apocalyptic number.

12132020213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132020213100 is an abundant number, since it is smaller than the sum of its proper divisors (27548477270436).

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

12132020213100 is a wasteful number, since it uses less digits than its factorization.

12132020213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586087976 (or 586087966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132020213100 its reverse (131202023121), we get a palindrome (12263222236221).

The spelling of 12132020213100 in words is "twelve trillion, one hundred thirty-two billion, twenty million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 586087933 1172175866 1758263799 2344351732 2930439665 3516527598 5274791397 5860879330 7033055196 8791318995 10549582794 11721758660 13480022459 14652198325 17582637990 21099165588 26373956985 26960044918 29304396650 35165275980 40440067377 43956594975 52747913970 53920089836 58608793300 67400112295 80880134754 87913189950 105495827940 121320202131 131869784925 134800224590 161760269508 175826379900 202200336885 242640404262 263739569850 269600449180 337000561475 404400673770 485280808524 527479139700 606601010655 674001122950 808801347540 1011001684425 1213202021310 1348002245900 2022003368850 2426404042620 3033005053275 4044006737700 6066010106550 12132020213100