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100032411220 = 22572102073889
BaseRepresentation
bin101110100101001100…
…1010111011001010100
3100120012102122000002021
41131022121113121110
53114331244124340
6113542041422524
710140616315600
oct1351231273124
9316172560067
10100032411220
1139472763135
121747879aa44
13958244a091
144bad49a500
152906edce4a
hex174a657654

100032411220 has 36 divisors (see below), whose sum is σ = 244364892660. Its totient is φ = 34296826368.

The previous prime is 100032411217. The next prime is 100032411247. The reversal of 100032411220 is 22114230001.

It can be written as a sum of positive squares in 2 ways, for example, as 49962978576 + 50069432644 = 223524^2 + 223762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100032411194 and 100032411203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51035965 + ... + 51037924.

It is an arithmetic number, because the mean of its divisors is an integer number (6787913685).

Almost surely, 2100032411220 is an apocalyptic number.

100032411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032411220 is an abundant number, since it is smaller than the sum of its proper divisors (144332481440).

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

100032411220 is a wasteful number, since it uses less digits than its factorization.

100032411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102073912 (or 102073903 counting only the distinct ones).

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

Adding to 100032411220 its reverse (22114230001), we get a palindrome (122146641221).

The spelling of 100032411220 in words is "one hundred billion, thirty-two million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 102073889 204147778 408295556 510369445 714517223 1020738890 1429034446 2041477780 2858068892 3572586115 5001620561 7145172230 10003241122 14290344460 20006482244 25008102805 50016205610 100032411220