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12100021332 = 22371923329629
BaseRepresentation
bin10110100010011011…
…11010110001010100
31011020021022202211020
423101031322301110
5144240101140312
65320401241140
7605564325060
oct132115726124
934207282736
1012100021332
11514a168133
1224183331b0
1311aaab4c49
1482b016aa0
154ac42b78c
hex2d137ac54

12100021332 has 96 divisors (see below), whose sum is σ = 35441817600. Its totient is φ = 3132784512.

The previous prime is 12100021319. The next prime is 12100021343. The reversal of 12100021332 is 23312000121.

12100021332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128107 + ... + 201522.

It is an arithmetic number, because the mean of its divisors is an integer number (369185600).

Almost surely, 212100021332 is an apocalyptic number.

12100021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100021332 is an abundant number, since it is smaller than the sum of its proper divisors (23341796268).

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

12100021332 is a wasteful number, since it uses less digits than its factorization.

12100021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329685 (or 329683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12100021332 its reverse (23312000121), we get a palindrome (35412021453).

The spelling of 12100021332 in words is "twelve billion, one hundred million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 84 92 114 133 138 161 228 266 276 322 399 437 483 532 644 798 874 966 1311 1596 1748 1932 2622 3059 5244 6118 9177 12236 18354 36708 329629 659258 988887 1318516 1977774 2307403 3955548 4614806 6262951 6922209 7581467 9229612 12525902 13844418 15162934 18788853 22744401 25051804 27688836 30325868 37577706 43840657 45488802 53070269 75155412 87681314 90977604 106140538 131521971 144047873 159210807 175362628 212281076 263043942 288095746 318421614 432143619 526087884 576191492 636843228 864287238 1008335111 1728574476 2016670222 3025005333 4033340444 6050010666 12100021332