Search a number
-
+
200301003140202 = 232311492519598181
BaseRepresentation
bin101101100010110000110110…
…001000111110110001101010
3222021012120220022010212222100
4231202300312020332301222
5202223212423300441302
61550001002135234230
760122161403640156
oct5542606610766152
9867176808125870
10200301003140202
11589051a6488738
121a56b814818976
13879c3c3b87073
143766898090066
15182544e84ed1c
hexb62c3623ec6a

200301003140202 has 96 divisors (see below), whose sum is σ = 452788476940800. Its totient is φ = 63923878800000.

The previous prime is 200301003140177. The next prime is 200301003140263. The reversal of 200301003140202 is 202041300103002.

200301003140202 is a `hidden beast` number, since 20 + 0 + 30 + 100 + 314 + 0 + 202 = 666.

200301003140202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003010031402022 (a number of 29 digits) contains 22 as substring.

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, 16069552 + ... + 25667732.

It is an arithmetic number, because the mean of its divisors is an integer number (4716546634800).

Almost surely, 2200301003140202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200301003140202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226394238470400).

200301003140202 is an abundant number, since it is smaller than the sum of its proper divisors (252487473800598).

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

200301003140202 is a wasteful number, since it uses less digits than its factorization.

200301003140202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598620 (or 9598617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200301003140202 its reverse (202041300103002), we get a palindrome (402342303243204).

The spelling of 200301003140202 in words is "two hundred trillion, three hundred one billion, three million, one hundred forty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 149 186 251 279 298 447 502 558 753 894 1341 1506 2259 2682 4518 4619 7781 9238 13857 15562 23343 27714 37399 41571 46686 70029 74798 83142 112197 140058 224394 336591 673182 1159369 2318738 3478107 6956214 9598181 10434321 19196362 20868642 28794543 57589086 86383629 172767258 297543611 595087222 892630833 1430128969 1785261666 2409143431 2677892499 2860257938 4290386907 4818286862 5355784998 7227430293 8580773814 12871160721 14454860586 21682290879 25742321442 43364581758 44333998039 74683446361 88667996078 133001994117 149366892722 224050339083 266003988234 358962371219 399005982351 448100678166 672151017249 717924742438 798011964702 1076887113657 1344302034498 2153774227314 3230661340971 6461322681942 11127833507789 22255667015578 33383500523367 66767001046734 100150501570101 200301003140202