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12010002100 = 2252238150441
BaseRepresentation
bin10110010111101101…
…00001011010110100
31010222222221022122121
423023312201122310
5144044030031400
65303424005324
7603422222245
oct131366413264
933888838577
1012010002100
115103373378
1223b2160844
131195257325
1481d0a2ccc
154a459921a
hex2cbda16b4

12010002100 has 36 divisors (see below), whose sum is σ = 26073167148. Its totient is φ = 4801888000.

The previous prime is 12010002091. The next prime is 12010002107. The reversal of 12010002100 is 120001021.

It can be written as a sum of positive squares in 6 ways, for example, as 1093095844 + 10916906256 = 33062^2 + 104484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010002107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212880 + ... + 263320.

It is an arithmetic number, because the mean of its divisors is an integer number (724254643).

Almost surely, 212010002100 is an apocalyptic number.

12010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010002100 is an abundant number, since it is smaller than the sum of its proper divisors (14063165048).

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

12010002100 is a wasteful number, since it uses less digits than its factorization.

12010002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52836 (or 52829 counting only the distinct ones).

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

Adding to 12010002100 its reverse (120001021), we get a palindrome (12130003121).

The spelling of 12010002100 in words is "twelve billion, ten million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2381 4762 9524 11905 23810 47620 50441 59525 100882 119050 201764 238100 252205 504410 1008820 1261025 2522050 5044100 120100021 240200042 480400084 600500105 1201000210 2402000420 3002500525 6005001050 12010002100