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101200002020 = 22513229940829
BaseRepresentation
bin101111000111111111…
…1010111101111100100
3100200012210122202112222
41132033333113233210
53124224200031040
6114253551131512
710211554552445
oct1361777275744
9320183582488
10101200002020
1139a11843407
1217743813b98
13970a304b00
144c805912cc
152974775bb5
hex178ffd7be4

101200002020 has 36 divisors (see below), whose sum is σ = 230125219380. Its totient is φ = 37366153344.

The previous prime is 101200001999. The next prime is 101200002031. The reversal of 101200002020 is 20200002101.

It can be written as a sum of positive squares in 6 ways, for example, as 53811936676 + 47388065344 = 231974^2 + 217688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101200001989 and 101200002007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14967035 + ... + 14973794.

It is an arithmetic number, because the mean of its divisors is an integer number (6392367205).

Almost surely, 2101200002020 is an apocalyptic number.

101200002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200002020 is an abundant number, since it is smaller than the sum of its proper divisors (128925217360).

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

101200002020 is a wasteful number, since it uses less digits than its factorization.

101200002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29940864 (or 29940849 counting only the distinct ones).

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

Adding to 101200002020 its reverse (20200002101), we get a palindrome (121400004121).

The spelling of 101200002020 in words is "one hundred one billion, two hundred million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 29940829 59881658 119763316 149704145 299408290 389230777 598816580 778461554 1556923108 1946153885 3892307770 5060000101 7784615540 10120000202 20240000404 25300000505 50600001010 101200002020