Search a number
-
+
200010020100 = 2235211173565241
BaseRepresentation
bin1011101001000110000…
…1101011010100000100
3201010021001010202111020
42322101201223110010
511234110031120400
6231514444511140
720310302056062
oct2722141532404
9633231122436
10200010020100
1177907495480
123291ab4b4b0
1315b26419c27
14997556d032
1553092a32a0
hex2e9186b504

200010020100 has 144 divisors (see below), whose sum is σ = 668440092096. Its totient is φ = 45635072000.

The previous prime is 200010020087. The next prime is 200010020101. The reversal of 200010020100 is 1020010002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200010020101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726521 + ... + 1838720.

It is an arithmetic number, because the mean of its divisors is an integer number (4641945084).

Almost surely, 2200010020100 is an apocalyptic number.

200010020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010020100 is an abundant number, since it is smaller than the sum of its proper divisors (468430071996).

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

200010020100 is a wasteful number, since it uses less digits than its factorization.

200010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565286 (or 3565279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200010020100 its reverse (1020010002), we get a palindrome (201030030102).

The spelling of 200010020100 in words is "two hundred billion, ten million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 3565241 7130482 10695723 14260964 17826205 21391446 35652410 39217651 42782892 53478615 60609097 71304820 78435302 89131025 106957230 117652953 121218194 156870604 178262050 181827291 196088255 213914460 235305906 242436388 267393075 303045485 356524100 363654582 392176510 470611812 534786150 588264765 606090970 666700067 727309164 784353020 909136455 980441275 1069572300 1176529530 1212181940 1333400134 1515227425 1818272910 1960882550 2000100201 2353059060 2666800268 2941323825 3030454850 3333500335 3636545820 3921765100 4000200402 4545682275 5882647650 6060909700 6667000670 8000400804 9091364550 10000501005 11765295300 13334001340 16667501675 18182729100 20001002010 33335003350 40002004020 50002505025 66670006700 100005010050 200010020100