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201010210020 = 223251116723389
BaseRepresentation
bin1011101100110100100…
…1000110010011100100
3201012211202011200010100
42323031021012103210
511243132103210040
6232202014224100
720344135410504
oct2731511062344
9635752150110
10201010210020
1178280028a14
1232b59ab5030
1315c556c2699
149a2c329a04
155366ec0b30
hex2ecd2464e4

201010210020 has 36 divisors (see below), whose sum is σ = 609730970940. Its totient is φ = 53602722624.

The previous prime is 201010210019. The next prime is 201010210031. The reversal of 201010210020 is 20012010102.

It can be written as a sum of positive squares in 2 ways, for example, as 94194975744 + 106815234276 = 306912^2 + 326826^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 201010209984 and 201010210011.

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, 558361515 + ... + 558361874.

It is an arithmetic number, because the mean of its divisors is an integer number (16936971415).

Almost surely, 2201010210020 is an apocalyptic number.

201010210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010210020 is an abundant number, since it is smaller than the sum of its proper divisors (408720760920).

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

201010210020 is a wasteful number, since it uses less digits than its factorization.

201010210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116723404 (or 1116723399 counting only the distinct ones).

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

Adding to 201010210020 its reverse (20012010102), we get a palindrome (221022220122).

The spelling of 201010210020 in words is "two hundred one billion, ten million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1116723389 2233446778 3350170167 4466893556 5583616945 6700340334 10050510501 11167233890 13400680668 16750850835 20101021002 22334467780 33501701670 40202042004 50252552505 67003403340 100505105010 201010210020