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12010100020 = 2252920707069
BaseRepresentation
bin10110010111101101…
…11001010100110100
31011000000010021222021
423023312321110310
5144044041200040
65303430042524
7603423110602
oct131366712464
934000107867
1012010100020
11510342a9a6
1223b21a9444
13119528ca79
1481d0ca872
154a45b824a
hex2cbdb9534

12010100020 has 24 divisors (see below), whose sum is σ = 26090908200. Its totient is φ = 4638383232.

The previous prime is 12010100017. The next prime is 12010100027. The reversal of 12010100020 is 2000101021.

It can be written as a sum of positive squares in 4 ways, for example, as 2789107344 + 9220992676 = 52812^2 + 96026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12010099976 and 12010100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10352955 + ... + 10354114.

It is an arithmetic number, because the mean of its divisors is an integer number (1087121175).

Almost surely, 212010100020 is an apocalyptic number.

12010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010100020 is an abundant number, since it is smaller than the sum of its proper divisors (14080808180).

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

12010100020 is a wasteful number, since it uses less digits than its factorization.

12010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707107 (or 20707105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12010100020 its reverse (2000101021), we get a palindrome (14010201041).

The spelling of 12010100020 in words is "twelve billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 20707069 41414138 82828276 103535345 207070690 414141380 600505001 1201010002 2402020004 3002525005 6005050010 12010100020