Search a number
-
+
102211032220 = 2251117105126003
BaseRepresentation
bin101111100110001000…
…0001001010010011100
3100202211021002102020221
41133030100021102130
53133312011012340
6114542145051124
710245612303403
oct1371420112234
9322737072227
10102211032220
113a390510360
1217986326aa4
13983b90472b
144d3897063a
1529d33d544a
hex17cc40949c

102211032220 has 96 divisors (see below), whose sum is σ = 248175518976. Its totient is φ = 34946688000.

The previous prime is 102211032193. The next prime is 102211032233. The reversal of 102211032220 is 22230112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102211032194 and 102211032203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917739 + ... + 3943741.

It is an arithmetic number, because the mean of its divisors is an integer number (2585161656).

Almost surely, 2102211032220 is an apocalyptic number.

102211032220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124087759488).

102211032220 is an abundant number, since it is smaller than the sum of its proper divisors (145964486756).

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

102211032220 is a wasteful number, since it uses less digits than its factorization.

102211032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27091 (or 27089 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102211032220 its reverse (22230112201), we get a palindrome (124441144421).

It can be divided in two parts, 10221 and 1032220, that added together give a square (1042441 = 10212).

The spelling of 102211032220 in words is "one hundred two billion, two hundred eleven million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1051 1870 2102 3740 4204 5255 10510 11561 17867 21020 23122 26003 35734 46244 52006 57805 71468 89335 104012 115610 130015 178670 196537 231220 260030 286033 357340 393074 442051 520060 572066 786148 884102 982685 1144132 1430165 1768204 1965370 2210255 2860330 3930740 4420510 4862561 5720660 8841020 9725122 19450244 24312805 27329153 48625610 54658306 97251220 109316612 136645765 273291530 300620683 464595601 546583060 601241366 929191202 1202482732 1503103415 1858382404 2322978005 3006206830 4645956010 5110551611 6012413660 9291912020 10221103222 20442206444 25552758055 51105516110 102211032220