Search a number
-
+
200202220012120 = 235107146213199249
BaseRepresentation
bin101101100001010100110110…
…001101010000001001011000
3222020212010220221021001011221
4231201110312031100021120
5202220103121310341440
61545443344042101424
760112063434130204
oct5541246615201130
9866763827231157
10200202220012120
1158877314a32507
121a5546464aa874
138792cb04c84a1
143761ba68b1b04
151822abc384d4a
hexb61536350258

200202220012120 has 64 divisors (see below), whose sum is σ = 454696093620000. Its totient is φ = 79327017768960.

The previous prime is 200202220012079. The next prime is 200202220012141. The reversal of 200202220012120 is 21210022202002.

It is a junction number, because it is equal to n+sod(n) for n = 200202220012094 and 200202220012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60978256 + ... + 64177504.

Almost surely, 2200202220012120 is an apocalyptic number.

200202220012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202220012120 is an abundant number, since it is smaller than the sum of its proper divisors (254493873607880).

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

200202220012120 is a wasteful number, since it uses less digits than its factorization.

200202220012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213988 (or 3213984 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200202220012120 its reverse (21210022202002), we get a palindrome (221412242214122).

The spelling of 200202220012120 in words is "two hundred trillion, two hundred two billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 14621 29242 58484 73105 116968 146210 292420 584840 1564447 3128894 3199249 6257788 6398498 7822235 12515576 12796996 15644470 15996245 25593992 31288940 31992490 62577880 63984980 127969960 342319643 684639286 1369278572 1711598215 2738557144 3423196430 6846392860 13692785720 46776219629 93552439258 187104878516 233881098145 374209757032 467762196290 935524392580 1871048785160 5005055500303 10010111000606 20020222001212 25025277501515 40040444002424 50050555003030 100101110006060 200202220012120