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213112131203000 = 23531093835104849
BaseRepresentation
bin110000011101001100001000…
…111000001010111110111000
31000221120022122211202220010102
4300131030020320022332320
5210413112121041444000
62033130210030534532
762613562164512411
oct6035141070127670
91027508584686112
10213112131203000
11619a4390273547
121ba9a685667448
1391bb506b38753
143a8a979cbc808
15199880799b3d5
hexc1d308e0afb8

213112131203000 has 128 divisors (see below), whose sum is σ = 504571541760000. Its totient is φ = 84242243635200.

The previous prime is 213112131202987. The next prime is 213112131203017. The reversal of 213112131203000 is 302131211312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39194576 + ... + 44299424.

It is an arithmetic number, because the mean of its divisors is an integer number (3941965170000).

Almost surely, 2213112131203000 is an apocalyptic number.

213112131203000 is a gapful number since it is divisible by the number (20) 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 213112131203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252285770880000).

213112131203000 is an abundant number, since it is smaller than the sum of its proper divisors (291459410557000).

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

213112131203000 is a wasteful number, since it uses less digits than its factorization.

213112131203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105362 (or 5105348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213112131203000 its reverse (302131211312), we get a palindrome (213414262414312).

The spelling of 213112131203000 in words is "two hundred thirteen trillion, one hundred twelve billion, one hundred thirty-one million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 383 436 500 545 766 872 1000 1090 1532 1915 2180 2725 3064 3830 4360 5450 7660 9575 10900 13625 15320 19150 21800 27250 38300 41747 47875 54500 76600 83494 95750 109000 166988 191500 208735 333976 383000 417470 834940 1043675 1669880 2087350 4174700 5104849 5218375 8349400 10209698 10436750 20419396 20873500 25524245 40838792 41747000 51048490 102096980 127621225 204193960 255242450 510484900 556428541 638106125 1020969800 1112857082 1276212250 1955157167 2225714164 2552424500 2782142705 3910314334 4451428328 5104849000 5564285410 7820628668 9775785835 11128570820 13910713525 15641257336 19551571670 22257141640 27821427050 39103143340 48878929175 55642854100 69553567625 78206286680 97757858350 111285708200 139107135250 195515716700 213112131203 244394645875 278214270500 391031433400 426224262406 488789291750 556428541000 852448524812 977578583500 1065560656015 1704897049624 1955157167000 2131121312030 4262242624060 5327803280075 8524485248120 10655606560150 21311213120300 26639016400375 42622426240600 53278032800750 106556065601500 213112131203000