Search a number
-
+
200202101011992 = 2331717325491112737
BaseRepresentation
bin101101100001010100101111…
…000111010011011000011000
3222020212010121122100012200210
4231201110233013103120120
5202220102400324340432
61545443324151331120
760112060460502102
oct5541245707233030
9866763548305623
10200202101011992
11588772638439a2
121a554612680aa0
138792c91961701
143761b94b76572
151822ab1bca8cc
hexb6152f1d3618

200202101011992 has 128 divisors (see below), whose sum is σ = 533219598648000. Its totient is φ = 62420893237248.

The previous prime is 200202101011987. The next prime is 200202101012033. The reversal of 200202101011992 is 299110101202002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179362248 + ... + 180474984.

Almost surely, 2200202101011992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200202101011992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266609799324000).

200202101011992 is an abundant number, since it is smaller than the sum of its proper divisors (333017497636008).

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

200202101011992 is a wasteful number, since it uses less digits than its factorization.

200202101011992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115485 (or 1115481 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 200202101011992 its reverse (299110101202002), we get a palindrome (499312202213994).

The spelling of 200202101011992 in words is "two hundred trillion, two hundred two billion, one hundred one million, eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 173 204 346 408 519 692 1038 1384 2076 2549 2941 4152 5098 5882 7647 8823 10196 11764 15294 17646 20392 23528 30588 35292 43333 61176 70584 86666 129999 173332 259998 346664 440977 519996 881954 1039992 1112737 1322931 1763908 2225474 2645862 3338211 3527816 4450948 5291724 6676422 7496609 8901896 10583448 13352844 14993218 18916529 22489827 26705688 29986436 37833058 44979654 56749587 59972872 75666116 89959308 113499174 151332232 179918616 192503501 226998348 385007002 453996696 577510503 770014004 1155021006 1540028008 2310042012 2836366613 3272559517 4620084024 5672733226 6545119034 8509099839 9817678551 11345466452 13090238068 17018199678 19635357102 22690932904 26180476136 34036399356 39270714204 48218232421 68072798712 78541428408 96436464842 144654697263 192872929684 289309394526 385745859368 490691424049 578618789052 981382848098 1157237578104 1472074272147 1962765696196 2944148544294 3925531392392 5888297088588 8341754208833 11776594177176 16683508417666 25025262626499 33367016835332 50050525252998 66734033670664 100101050505996 200202101011992