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101100001220 = 2255055000061
BaseRepresentation
bin101111000101000000…
…1111001011111000100
3100122221211111012020122
41132022001321133010
53124023100014340
6114240015521112
710206231555101
oct1361201713704
9318854435218
10101100001220
1139970351319
1217716229198
1396c2690b3a
144c7119daa8
15296aac0db5
hex178a0797c4

101100001220 has 12 divisors (see below), whose sum is σ = 212310002604. Its totient is φ = 40440000480.

The previous prime is 101100001169. The next prime is 101100001259. The reversal of 101100001220 is 22100001101.

It can be written as a sum of positive squares in 2 ways, for example, as 30776386624 + 70323614596 = 175432^2 + 265186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100001198 and 101100001207.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527500011 + ... + 2527500050.

It is an arithmetic number, because the mean of its divisors is an integer number (17692500217).

Almost surely, 2101100001220 is an apocalyptic number.

101100001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100001220 is an abundant number, since it is smaller than the sum of its proper divisors (111210001384).

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

101100001220 is a wasteful number, since it uses less digits than its factorization.

101100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055000070 (or 5055000068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101100001220 its reverse (22100001101), we get a palindrome (123200002321).

The spelling of 101100001220 in words is "one hundred one billion, one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5055000061 10110000122 20220000244 25275000305 50550000610 101100001220