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132103403241400 = 235241103315595519
BaseRepresentation
bin11110000010010110111000…
…011011000111111110111000
3122022201221222022022001112101
4132002112320123013332320
5114303340232212211100
61144543244325153144
736553104324232603
oct3602267033077670
9568657868261471
10132103403241400
1139101814223808
121299663655b7b4
1358933b37182a6
142489ba5a8133a
1510414a545886a
hex7825b86c7fb8

132103403241400 has 96 divisors (see below), whose sum is σ = 314936242790400. Its totient is φ = 51502638643200.

The previous prime is 132103403241373. The next prime is 132103403241419. The reversal of 132103403241400 is 4142304301231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672841 + ... + 16268359.

It is an arithmetic number, because the mean of its divisors is an integer number (3280585862400).

Almost surely, 2132103403241400 is an apocalyptic number.

132103403241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103403241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157468121395200).

132103403241400 is an abundant number, since it is smaller than the sum of its proper divisors (182832839549000).

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

132103403241400 is a wasteful number, since it uses less digits than its factorization.

132103403241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15596609 (or 15596600 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132103403241400 its reverse (4142304301231), we get a palindrome (136245707542631).

The spelling of 132103403241400 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred three million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1033 1640 2050 2066 4100 4132 5165 8200 8264 10330 20660 25825 41320 42353 51650 84706 103300 169412 206600 211765 338824 423530 847060 1058825 1694120 2117650 4235300 8470600 15595519 31191038 62382076 77977595 124764152 155955190 311910380 389887975 623820760 639416279 779775950 1278832558 1559551900 2557665116 3119103800 3197081395 5115330232 6394162790 12788325580 15985406975 16110171127 25576651160 31970813950 32220342254 63941627900 64440684508 80550855635 127883255800 128881369016 161101711270 322203422540 402754278175 644406845080 660517016207 805508556350 1321034032414 1611017112700 2642068064828 3222034225400 3302585081035 5284136129656 6605170162070 13210340324140 16512925405175 26420680648280 33025850810350 66051701620700 132103403241400