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2022100101 = 32724585261
BaseRepresentation
bin111100010000110…
…1100110010000101
312012220221022212100
41320201230302011
513120124200401
6532352342313
7101052365400
oct17041546205
95186838770
102022100101
1194847180a
12485244999
13262c14648
141527acd37
15bc7cab86
hex7886cc85

2022100101 has 18 divisors (see below), whose sum is σ = 3397679142. Its totient is φ = 1155485520.

The previous prime is 2022100079. The next prime is 2022100103. The reversal of 2022100101 is 1010012202.

It can be written as a sum of positive squares in only one way, i.e., 2002652001 + 19448100 = 44751^2 + 4410^2 .

It is not a de Polignac number, because 2022100101 - 27 = 2022099973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022100103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2292190 + ... + 2293071.

Almost surely, 22022100101 is an apocalyptic number.

2022100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2022100101 is a deficient number, since it is larger than the sum of its proper divisors (1375579041).

2022100101 is a wasteful number, since it uses less digits than its factorization.

2022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585281 (or 4585271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2022100101 is about 44967.7673561853. The cubic root of 2022100101 is about 1264.5447910372.

Adding to 2022100101 its reverse (1010012202), we get a palindrome (3032112303).

The spelling of 2022100101 in words is "two billion, twenty-two million, one hundred thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 4585261 13755783 32096827 41267349 96290481 224677789 288871443 674033367 2022100101