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20013102132100 = 225271119313466861
BaseRepresentation
bin1001000110011101010011…
…10101111110101110000100
32121212020022111102210000121
410203032221311332232010
510110343313121211400
6110321520414151324
74133620220221510
oct443165165765604
977766274383017
1020013102132100
11641656645a890
1222b280b4b2544
13b222c589481c
144d28d43b1140
1524a8c025e21a
hex1233a9d7eb84

20013102132100 has 144 divisors (see below), whose sum is σ = 54425083821696. Its totient is φ = 6205529088000.

The previous prime is 20013102132077. The next prime is 20013102132139. The reversal of 20013102132100 is 123120131002.

It is a super-6 number, since 6×200131021321006 (a number of 81 digits) contains 666666 as substring.

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, 5247331 + ... + 8219530.

It is an arithmetic number, because the mean of its divisors is an integer number (377951970984).

Almost surely, 220013102132100 is an apocalyptic number.

20013102132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013102132100 is an abundant number, since it is smaller than the sum of its proper divisors (34411981689596).

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

20013102132100 is a wasteful number, since it uses less digits than its factorization.

20013102132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13467086 (or 13467079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20013102132100 its reverse (123120131002), we get a palindrome (20136222263102).

The spelling of 20013102132100 in words is "twenty trillion, thirteen billion, one hundred two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 193 220 275 308 350 385 386 550 700 770 772 965 1100 1351 1540 1925 1930 2123 2702 3850 3860 4246 4825 5404 6755 7700 8492 9650 10615 13510 14861 19300 21230 27020 29722 33775 42460 53075 59444 67550 74305 106150 135100 148610 212300 297220 371525 743050 1486100 13466861 26933722 53867444 67334305 94268027 134668610 148135471 188536054 269337220 296270942 336671525 377072108 471340135 592541884 673343050 740677355 942680270 1036948297 1346686100 1481354710 1885360540 2073896594 2356700675 2599104173 2962709420 3703386775 4147793188 4713401350 5184741485 5198208346 7406773550 9426802700 10369482970 10396416692 12995520865 14813547100 18193729211 20738965940 25923707425 25991041730 28590145903 36387458422 51847414850 51982083460 57180291806 64977604325 72774916844 90968646055 103694829700 114360583612 129955208650 142950729515 181937292110 200131021321 259910417300 285901459030 363874584220 400262042642 454843230275 571802918060 714753647575 800524085284 909686460550 1000655106605 1429507295150 1819372921100 2001310213210 2859014590300 4002620426420 5003275533025 10006551066050 20013102132100