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20132131223100 = 223521328118370409
BaseRepresentation
bin1001001001111011000001…
…00001111011011000111100
32122021121112211200002202110
410210331200201323120330
510114321101043114400
6110452323504454020
74145332656624441
oct444754041733074
978247484602673
1020132131223100
116461a97260676
1223118aa01a310
13b305b4889010
144d85867bd9c8
1524da39d7ce50
hex124f6087b63c

20132131223100 has 144 divisors (see below), whose sum is σ = 62952896694240. Its totient is φ = 4937965670400.

The previous prime is 20132131223089. The next prime is 20132131223119. The reversal of 20132131223100 is 132213123102.

It is a super-2 number, since 2×201321312231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8089305 + ... + 10281104.

It is an arithmetic number, because the mean of its divisors is an integer number (437172893710).

Almost surely, 220132131223100 is an apocalyptic number.

20132131223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132131223100 is an abundant number, since it is smaller than the sum of its proper divisors (42820765471140).

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

20132131223100 is a wasteful number, since it uses less digits than its factorization.

20132131223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18370720 (or 18370713 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20132131223100 its reverse (132213123102), we get a palindrome (20264344346202).

The spelling of 20132131223100 in words is "twenty trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 281 300 325 390 562 650 780 843 975 1124 1300 1405 1686 1950 2810 3372 3653 3900 4215 5620 7025 7306 8430 10959 14050 14612 16860 18265 21075 21918 28100 36530 42150 43836 54795 73060 84300 91325 109590 182650 219180 273975 365300 547950 1095900 18370409 36740818 55111227 73481636 91852045 110222454 183704090 220444908 238815317 275556135 367408180 459260225 477630634 551112270 716445951 918520450 955261268 1102224540 1194076585 1377780675 1432891902 1837040900 2388153170 2755561350 2865783804 3582229755 4776306340 5162084929 5511122700 5970382925 7164459510 10324169858 11940765850 14328919020 15486254787 17911148775 20648339716 23881531700 25810424645 30972509574 35822297550 51620849290 61945019148 67107104077 71644595100 77431273935 103241698580 129052123225 134214208154 154862547870 201321312231 258104246450 268428416308 309725095740 335535520385 387156369675 402642624462 516208492900 671071040770 774312739350 805285248924 1006606561155 1342142081540 1548625478700 1677677601925 2013213122310 3355355203850 4026426244620 5033032805775 6710710407700 10066065611550 20132131223100