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213141205552 = 24119713989819
BaseRepresentation
bin1100011010000000110…
…1001011001000110000
3202101011011210002120011
43012200031023020300
511443003122034202
6241525443424304
721253560232432
oct3064015131060
9671134702504
10213141205552
1182435721460
1235384685094
1317139a30b52
14a45d4c6652
155826eb9bd7
hex31a034b230

213141205552 has 80 divisors (see below), whose sum is σ = 458426908800. Its totient is φ = 95192709120.

The previous prime is 213141205523. The next prime is 213141205559. The reversal of 213141205552 is 255502141312.

It is not an unprimeable number, because it can be changed into a prime (213141205559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328099 + ... + 2417917.

It is an arithmetic number, because the mean of its divisors is an integer number (5730336360).

Almost surely, 2213141205552 is an apocalyptic number.

213141205552 is a gapful number since it is divisible by the number (22) 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 213141205552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229213454400).

213141205552 is an abundant number, since it is smaller than the sum of its proper divisors (245285703248).

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

213141205552 is a wasteful number, since it uses less digits than its factorization.

213141205552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90074 (or 90068 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 213141205552 its reverse (255502141312), we get a palindrome (468643346864).

The spelling of 213141205552 in words is "two hundred thirteen billion, one hundred forty-one million, two hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 97 139 176 194 278 388 556 776 1067 1112 1529 1552 2134 2224 3058 4268 6116 8536 12232 13483 17072 24464 26966 53932 89819 107864 148313 179638 215728 296626 359276 593252 718552 988009 1186504 1437104 1976018 2373008 3952036 7904072 8712443 12484841 15808144 17424886 24969682 34849772 49939364 69699544 95836873 99878728 137333251 139399088 191673746 199757456 274666502 383347492 549333004 766694984 1098666008 1211029577 1533389968 2197332016 2422059154 4844118308 9688236616 13321325347 19376473232 26642650694 53285301388 106570602776 213141205552