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102212133220 = 22514813450781
BaseRepresentation
bin101111100110001010…
…0010110000101100100
3100202211100011100112201
41133030110112011210
53133312301230340
6114542224424244
710245624540331
oct1371424260544
9322740140481
10102212133220
113a3910a257a
1217986778084
13983bbcb902
144d38b79988
1529d355179a
hex17cc516164

102212133220 has 24 divisors (see below), whose sum is σ = 214790474808. Its totient is φ = 40857235200.

The previous prime is 102212133211. The next prime is 102212133227. The reversal of 102212133220 is 22331212201.

It can be written as a sum of positive squares in 4 ways, for example, as 3208769316 + 99003363904 = 56646^2 + 314648^2 .

It is not an unprimeable number, because it can be changed into a prime (102212133227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695771 + ... + 1755010.

It is an arithmetic number, because the mean of its divisors is an integer number (8949603117).

Almost surely, 2102212133220 is an apocalyptic number.

102212133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212133220 is an abundant number, since it is smaller than the sum of its proper divisors (112578341588).

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

102212133220 is a wasteful number, since it uses less digits than its factorization.

102212133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452271 (or 3452269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102212133220 its reverse (22331212201), we get a palindrome (124543345421).

The spelling of 102212133220 in words is "one hundred two billion, two hundred twelve million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1481 2962 5924 7405 14810 29620 3450781 6901562 13803124 17253905 34507810 69015620 5110606661 10221213322 20442426644 25553033305 51106066610 102212133220