Search a number
-
+
2101000101220 = 225757138771473
BaseRepresentation
bin11110100100101101010…
…111010101110101100100
321102212001022100121011201
4132210231113111311210
5233410322011214340
64245104111412244
7304535512125406
oct36445527256544
97385038317151
102101000101220
11740035869819
1229b230824084
1312317b318087
1473990686b76
15399b9e1879a
hex1e92d5d5d64

2101000101220 has 24 divisors (see below), whose sum is σ = 4417928646264. Its totient is φ = 839289862656.

The previous prime is 2101000101181. The next prime is 2101000101227. The reversal of 2101000101220 is 221010001012.

It can be written as a sum of positive squares in 4 ways, for example, as 442014884964 + 1658985216256 = 664842^2 + 1288016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2101000101197 and 2101000101206.

It is not an unprimeable number, because it can be changed into a prime (2101000101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69370597 + ... + 69400876.

It is an arithmetic number, because the mean of its divisors is an integer number (184080360261).

Almost surely, 22101000101220 is an apocalyptic number.

2101000101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101000101220 is an abundant number, since it is smaller than the sum of its proper divisors (2316928545044).

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

2101000101220 is a wasteful number, since it uses less digits than its factorization.

2101000101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138772239 (or 138772237 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2101000101220 its reverse (221010001012), we get a palindrome (2322010102232).

The spelling of 2101000101220 in words is "two trillion, one hundred one billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 757 1514 3028 3785 7570 15140 138771473 277542946 555085892 693857365 1387714730 2775429460 105050005061 210100010122 420200020244 525250025305 1050500050610 2101000101220