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132012123100 = 2252111319746861
BaseRepresentation
bin111101011110010001…
…0010010001111011100
3110121202011002200121121
41322330202102033130
54130330100414400
6140351233540324
712352245350314
oct1727442221734
9417664080547
10132012123100
1150a93446a90
12217027146a4
13c5aaa04c10
1465647dc444
15367981d21a
hex1ebc8923dc

132012123100 has 144 divisors (see below), whose sum is σ = 338263412256. Its totient is φ = 44085888000.

The previous prime is 132012123071. The next prime is 132012123137. The reversal of 132012123100 is 1321210231.

It is a super-2 number, since 2×1320121231002 (a number of 23 digits) contains 22 as substring.

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, 2793670 + ... + 2840530.

It is an arithmetic number, because the mean of its divisors is an integer number (2349051474).

Almost surely, 2132012123100 is an apocalyptic number.

132012123100 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 132012123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169131706128).

132012123100 is an abundant number, since it is smaller than the sum of its proper divisors (206251289156).

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

132012123100 is a wasteful number, since it uses less digits than its factorization.

132012123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47096 (or 47089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132012123100 its reverse (1321210231), we get a palindrome (133333333331).

The spelling of 132012123100 in words is "one hundred thirty-two billion, twelve million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 197 220 260 275 286 325 394 550 572 650 715 788 985 1100 1300 1430 1970 2167 2561 2860 3575 3940 4334 4925 5122 7150 8668 9850 10244 10835 12805 14300 19700 21670 25610 28171 43340 46861 51220 54175 56342 64025 93722 108350 112684 128050 140855 187444 216700 234305 256100 281710 468610 515471 563420 609193 704275 937220 1030942 1171525 1218386 1408550 2061884 2343050 2436772 2577355 2817100 3045965 4686100 5154710 6091930 6701123 9231617 10309420 12183860 12886775 13402246 15229825 18463234 25773550 26804492 30459650 33505615 36926468 46158085 51547100 60919300 67011230 92316170 101547787 120011021 134022460 167528075 184632340 203095574 230790425 240022042 335056150 406191148 461580850 480044084 507738935 600055105 670112300 923161700 1015477870 1200110210 1320121231 2030955740 2400220420 2538694675 2640242462 3000275525 5077389350 5280484924 6000551050 6600606155 10154778700 12001102100 13201212310 26402424620 33003030775 66006061550 132012123100