Search a number
-
+
200122020212130 = 232517233561367837
BaseRepresentation
bin101101100000001010001001…
…111011010010110110100010
3222020120110220200012002010100
4231200022021323102312202
5202212244344133242010
61545342441550043230
760103224135103302
oct5540121173226642
9866513820162110
10200122020212130
11588462aa26a775
121a540ba37a9516
13878856bb79433
14375bd593a7602
15182097659b2c0
hexb60289ed2da2

200122020212130 has 96 divisors (see below), whose sum is σ = 553288632075504. Its totient is φ = 50011137773568.

The previous prime is 200122020212099. The next prime is 200122020212203. The reversal of 200122020212130 is 31212020221002.

200122020212130 is a `hidden beast` number, since 200 + 1 + 220 + 2 + 0 + 212 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 100641204576081 + 99480815636049 = 10032009^2 + 9974007^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 280327429 + ... + 281040408.

Almost surely, 2200122020212130 is an apocalyptic number.

200122020212130 is an abundant number, since it is smaller than the sum of its proper divisors (353166611863374).

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

200122020212130 is a wasteful number, since it uses less digits than its factorization.

200122020212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561368100 (or 561368097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200122020212130 its reverse (31212020221002), we get a palindrome (231334040433132).

The spelling of 200122020212130 in words is "two hundred trillion, one hundred twenty-two billion, twenty million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 233 255 306 466 510 699 765 1165 1398 1530 2097 2330 3495 3961 4194 6990 7922 10485 11883 19805 20970 23766 35649 39610 59415 71298 118830 178245 356490 561367837 1122735674 1684103511 2806839185 3368207022 5052310533 5613678370 8420517555 9543253229 10104621066 16841035110 19086506458 25261552665 28629759687 47716266145 50523105330 57259519374 85889279061 95432532290 130798706021 143148798435 171778558122 261597412042 286297596870 392396118063 429446395305 653993530105 784792236126 858892790610 1177188354189 1307987060210 1961980590315 2223578002357 2354376708378 3923961180630 4447156004714 5885941770945 6670734007071 11117890011785 11771883541890 13341468014142 20012202021213 22235780023570 33353670035355 40024404042426 66707340070710 100061010106065 200122020212130