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12023132100 = 2235275997039
BaseRepresentation
bin10110011001010001…
…00110111111000100
31011000220122101121220
423030220212333010
5144110410211400
65305013240340
7603641636160
oct131450467704
934026571556
1012023132100
11510a821111
1223b66330b0
131197ba3765
14820b1dca0
154a57de7a0
hex2cca26fc4

12023132100 has 144 divisors (see below), whose sum is σ = 40430745600. Its totient is φ = 2701537920.

The previous prime is 12023132083. The next prime is 12023132117. The reversal of 12023132100 is 123132021.

12023132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12023132083) and next prime (12023132117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12023132100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75381 + ... + 172419.

Almost surely, 212023132100 is an apocalyptic number.

12023132100 is a gapful number since it is divisible by the number (10) 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 12023132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215372800).

12023132100 is an abundant number, since it is smaller than the sum of its proper divisors (28407613500).

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

12023132100 is a wasteful number, since it uses less digits than its factorization.

12023132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97122 (or 97115 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12023132100 its reverse (123132021), we get a palindrome (12146264121).

The spelling of 12023132100 in words is "twelve billion, twenty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 59 60 70 75 84 100 105 118 140 150 175 177 210 236 295 300 350 354 413 420 525 590 700 708 826 885 1050 1180 1239 1475 1652 1770 2065 2100 2478 2950 3540 4130 4425 4956 5900 6195 8260 8850 10325 12390 17700 20650 24780 30975 41300 61950 97039 123900 194078 291117 388156 485195 582234 679273 970390 1164468 1358546 1455585 1940780 2037819 2425975 2717092 2911170 3396365 4075638 4851950 5725301 5822340 6792730 7277925 8151276 9703900 10189095 11450602 13585460 14555850 16981825 17175903 20378190 22901204 28626505 29111700 33963650 34351806 40077107 40756380 50945475 57253010 67927300 68703612 80154214 85879515 101890950 114506020 120231321 143132525 160308428 171759030 200385535 203781900 240462642 286265050 343518060 400771070 429397575 480925284 572530100 601156605 801542140 858795150 1001927675 1202313210 1717590300 2003855350 2404626420 3005783025 4007710700 6011566050 12023132100