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213501004520430 = 235114375831984159
BaseRepresentation
bin110000100010110110010011…
…100010001001101111101110
31000222221111102002112020001210
4300202312103202021233232
5210441000024124123210
62034025001335415250
762653636631254554
oct6042662342115756
91028844362466053
10213501004520430
11620342a4101610
121bb41b12524526
13921909b225943
143aa170a435bd4
1519a39b762ee20
hexc22d93889bee

213501004520430 has 128 divisors (see below), whose sum is σ = 572059804631040. Its totient is φ = 50547456812160.

The previous prime is 213501004520423. The next prime is 213501004520443. The reversal of 213501004520430 is 34025400105312.

213501004520430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106610691 + ... + 108594849.

It is an arithmetic number, because the mean of its divisors is an integer number (4469217223680).

Almost surely, 2213501004520430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213501004520430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286029902315520).

213501004520430 is an abundant number, since it is smaller than the sum of its proper divisors (358558800110610).

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

213501004520430 is a wasteful number, since it uses less digits than its factorization.

213501004520430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991806.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 213501004520430 its reverse (34025400105312), we get a palindrome (247526404625742).

The spelling of 213501004520430 in words is "two hundred thirteen trillion, five hundred one billion, four million, five hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 7583 14190 15166 22749 37915 45498 75830 83413 113745 166826 227490 250239 326069 417065 500478 652138 834130 978207 1251195 1630345 1956414 1984159 2502390 3260690 3586759 3968318 4891035 5952477 7173518 9782070 9920795 10760277 11904954 17933795 19841590 21520554 21825749 29762385 35867590 43651498 53801385 59524770 65477247 85318837 107602770 109128745 130954494 170637674 218257490 255956511 327386235 426594185 511913022 654772470 853188370 938507207 1279782555 1877014414 2559565110 2815521621 4692536035 5631043242 9385072070 14077608105 15045877697 28155216210 30091755394 45137633091 75229388485 90275266182 150458776970 165504654667 225688165455 331009309334 451376330910 496513964001 646972740971 827523273335 993027928002 1293945481942 1655046546670 1940918222913 2482569820005 3234863704855 3881836445826 4965139640010 6469727409710 7116700150681 9704591114565 14233400301362 19409182229130 21350100452043 35583500753405 42700200904086 71167001506810 106750502260215 213501004520430