Search a number
-
+
200012200122 = 237232947151909
BaseRepresentation
bin1011101001000110100…
…1111111100010111010
3201010021012020111220210
42322101221333202322
511234111110400442
6231515003331550
720310326435610
oct2722151774272
9633235214823
10200012200122
1177908744349
123291b820bb6
1315b26a01297
1499759796b0
15530958419c
hex2e91a7f8ba

200012200122 has 128 divisors (see below), whose sum is σ = 504000921600. Its totient is φ = 51653581056.

The previous prime is 200012200103. The next prime is 200012200127. The reversal of 200012200122 is 221002210002.

It is a junction number, because it is equal to n+sod(n) for n = 200012200098 and 200012200107.

It is not an unprimeable number, because it can be changed into a prime (200012200127) 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, 1240704 + ... + 1392612.

It is an arithmetic number, because the mean of its divisors is an integer number (3937507200).

Almost surely, 2200012200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000460800).

200012200122 is an abundant number, since it is smaller than the sum of its proper divisors (303988721478).

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

200012200122 is a wasteful number, since it uses less digits than its factorization.

200012200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152020.

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

Adding to 200012200122 its reverse (221002210002), we get a palindrome (421014410124).

The spelling of 200012200122 in words is "two hundred billion, twelve million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 47 58 69 87 94 138 141 161 174 203 282 322 329 406 483 609 658 667 966 987 1081 1218 1334 1363 1974 2001 2162 2726 3243 4002 4089 4669 6486 7567 8178 9338 9541 14007 15134 19082 22701 28014 28623 31349 45402 57246 62698 94047 151909 188094 219443 303818 438886 455727 658329 911454 1063363 1316658 2126726 3190089 3493907 4405361 6380178 6987814 7139723 8810722 10481721 13216083 14279446 20963442 21419169 24457349 26432166 30837527 42838338 48914698 49978061 61675054 73372047 92512581 99956122 101323303 146744094 149934183 164213629 185025162 202646606 207051967 299868366 303969909 328427258 414103934 492640887 607939818 621155901 709263121 985281774 1149495403 1242311802 1418526242 1449363769 2127789363 2298990806 2898727538 3448486209 4255578726 4348091307 4762195241 6896972418 8696182614 9524390482 14286585723 28573171446 33335366687 66670733374 100006100061 200012200122