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213202055000 = 23541129133669
BaseRepresentation
bin1100011010001111010…
…1010010111101011000
3202101022102021120022102
43012203311102331120
511443114211230000
6241535455542532
721255226365164
oct3064365227530
9671272246272
10213202055000
1182467002560
12353a0b2aa48
131714951763c
14a467605ca4
15582c4d93d5
hex31a3d52f58

213202055000 has 160 divisors (see below), whose sum is σ = 563739858000. Its totient is φ = 74854080000.

The previous prime is 213202054987. The next prime is 213202055009. The reversal of 213202055000 is 550202312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202055009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1528166 + ... + 1661834.

Almost surely, 2213202055000 is an apocalyptic number.

213202055000 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 213202055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281869929000).

213202055000 is an abundant number, since it is smaller than the sum of its proper divisors (350537803000).

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

213202055000 is a wasteful number, since it uses less digits than its factorization.

213202055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133735 (or 133716 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 213202055000 its reverse (550202312), we get a palindrome (213752257312).

The spelling of 213202055000 in words is "two hundred thirteen billion, two hundred two million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 625 638 725 1000 1100 1160 1250 1276 1375 1450 1595 2200 2500 2552 2750 2900 3190 3625 5000 5500 5800 6380 6875 7250 7975 11000 12760 13750 14500 15950 18125 27500 29000 31900 36250 39875 55000 63800 72500 79750 133669 145000 159500 199375 267338 319000 398750 534676 668345 797500 1069352 1336690 1470359 1595000 2673380 2940718 3341725 3876401 5346760 5881436 6683450 7351795 7752802 11762872 13366900 14703590 15505604 16708625 19382005 26733800 29407180 31011208 33417250 36758975 38764010 42640411 58814360 66834500 73517950 77528020 83543125 85280822 96910025 133669000 147035900 155056040 167086250 170561644 183794875 193820050 213202055 294071800 334172500 341123288 367589750 387640100 426404110 484550125 668345000 735179500 775280200 852808220 918974375 969100250 1066010275 1470359000 1705616440 1837948750 1938200500 2132020550 2422750625 3675897500 3876401000 4264041100 4845501250 5330051375 7351795000 8528082200 9691002500 10660102750 19382005000 21320205500 26650256875 42640411000 53300513750 106601027500 213202055000