Search a number
-
+
102022212200 = 23521753566161
BaseRepresentation
bin101111100000011111…
…1110110101001101000
3100202100002210100212212
41133000333312221220
53132420141242300
6114511322024252
710241130331616
oct1370077665150
9322302710785
10102022212200
113a2a3974057
1217933048088
13980b7630cc
144d1b85c6b6
1529c1a38935
hex17c0ff6a68

102022212200 has 96 divisors (see below), whose sum is σ = 255893900760. Its totient is φ = 37683609600.

The previous prime is 102022212181. The next prime is 102022212209. The reversal of 102022212200 is 2212220201.

It can be written as a sum of positive squares in 12 ways, for example, as 20624980996 + 81397231204 = 143614^2 + 285302^2 .

It is not an unprimeable number, because it can be changed into a prime (102022212209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102881 + ... + 463280.

Almost surely, 2102022212200 is an apocalyptic number.

102022212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022212200 is an abundant number, since it is smaller than the sum of its proper divisors (153871688560).

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

102022212200 is a wasteful number, since it uses less digits than its factorization.

102022212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566247 (or 566238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102022212200 its reverse (2212220201), we get a palindrome (104234432401).

The spelling of 102022212200 in words is "one hundred two billion, twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 340 424 425 530 680 850 901 1060 1325 1700 1802 2120 2650 3400 3604 4505 5300 7208 9010 10600 18020 22525 36040 45050 90100 180200 566161 1132322 2264644 2830805 4529288 5661610 9624737 11323220 14154025 19249474 22646440 28308050 30006533 38498948 48123685 56616100 60013066 76997896 96247370 113232200 120026132 150032665 192494740 240052264 240618425 300065330 384989480 481236850 510111061 600130660 750163325 962473700 1020222122 1200261320 1500326650 1924947400 2040444244 2550555305 3000653300 4080888488 5101110610 6001306600 10202221220 12752776525 20404442440 25505553050 51011106100 102022212200