Search a number
-
+
200121200202 = 2371117200312721
BaseRepresentation
bin1011101001100000100…
…1110010111001001010
3201010112210100021220210
42322120021302321022
511234322011401302
6231533455501550
720313122064240
oct2723011627112
9633483307823
10200121200202
1177964222760
12329502278b6
1315b43476481
149986230790
155313e1566c
hex2e98272e4a

200121200202 has 128 divisors (see below), whose sum is σ = 528661997568. Its totient is φ = 48893644800.

The previous prime is 200121200161. The next prime is 200121200207. The reversal of 200121200202 is 202002121002.

It is not an unprimeable number, because it can be changed into a prime (200121200207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15725202 + ... + 15737922.

It is an arithmetic number, because the mean of its divisors is an integer number (4130171856).

Almost surely, 2200121200202 is an apocalyptic number.

200121200202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264330998784).

200121200202 is an abundant number, since it is smaller than the sum of its proper divisors (328540797366).

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

200121200202 is a wasteful number, since it uses less digits than its factorization.

200121200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200121200202 its reverse (202002121002), we get a palindrome (402123321204).

The spelling of 200121200202 in words is "two hundred billion, one hundred twenty-one million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2003 2618 3927 4006 6009 7854 12018 12721 14021 22033 25442 28042 34051 38163 42063 44066 66099 68102 76326 84126 89047 102153 132198 139931 154231 178094 204306 216257 238357 267141 279862 308462 374561 419793 432514 462693 476714 534282 648771 715071 749122 839586 925386 979517 1123683 1297542 1430142 1513799 1959034 2247366 2378827 2621927 2938551 3027598 4541397 4757654 5243854 5877102 7136481 7865781 9082794 14272962 15731562 16651789 25480163 33303578 49955367 50960326 76440489 99910734 152880978 178361141 280281793 356722282 433162771 535083423 560563586 840845379 866325542 1070166846 1299488313 1681690758 1961972551 2598976626 3032139397 3923945102 4764790481 5885917653 6064278794 9096418191 9529580962 11771835306 14294371443 18192836382 28588742886 33353533367 66707066734 100060600101 200121200202