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102212332020 = 223253715347197
BaseRepresentation
bin101111100110001010…
…1000110100111110100
3100202211100112110020200
41133030111012213310
53133312324111040
6114542233000500
710245626326041
oct1371425064764
9322740473220
10102212332020
113a391218977
1217986853130
13983bc6b246
144d38bcc1c8
1529d3590630
hex17cc5469f4

102212332020 has 72 divisors (see below), whose sum is σ = 318423664104. Its totient is φ = 26519954688.

The previous prime is 102212332009. The next prime is 102212332021. The reversal of 102212332020 is 20233212201.

102212332020 is a `hidden beast` number, since 10 + 221 + 233 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27062882064 + 75149449956 = 164508^2 + 274134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102212331984 and 102212332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212332021) 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, 7666939 + ... + 7680258.

Almost surely, 2102212332020 is an apocalyptic number.

102212332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212332020 is an abundant number, since it is smaller than the sum of its proper divisors (216211332084).

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

102212332020 is a wasteful number, since it uses less digits than its factorization.

102212332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15347249 (or 15347244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102212332020 its reverse (20233212201), we get a palindrome (122445544221).

The spelling of 102212332020 in words is "one hundred two billion, two hundred twelve million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15347197 30694394 46041591 61388788 76735985 92083182 138124773 153471970 184166364 230207955 276249546 306943940 460415910 552499092 567846289 690623865 920831820 1135692578 1381247730 1703538867 2271385156 2762495460 2839231445 3407077734 5110616601 5678462890 6814155468 8517694335 10221233202 11356925780 17035388670 20442466404 25553083005 34070777340 51106166010 102212332020