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13102212212100 = 223252111323455779
BaseRepresentation
bin1011111010101001100010…
…1101000110010110000100
31201101120002200210220000200
42332222120231012112010
53204131312311241400
643511023451010500
72521414014151014
oct276523055062604
951346080726020
1013102212212100
1141a1687246560
121577368439a30
137406c18b3bab
14334216bc1c44
1517ac42c01b00
hexbea98b46584

13102212212100 has 108 divisors (see below), whose sum is σ = 44801625064560. Its totient is φ = 3176293867200.

The previous prime is 13102212212093. The next prime is 13102212212101. The reversal of 13102212212100 is 121221220131.

13102212212100 is a `hidden beast` number, since 1 + 3 + 10 + 221 + 221 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13102212212101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661717990 + ... + 661737789.

Almost surely, 213102212212100 is an apocalyptic number.

13102212212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102212212100 is an abundant number, since it is smaller than the sum of its proper divisors (31699412852460).

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

13102212212100 is a wasteful number, since it uses less digits than its factorization.

13102212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323455810 (or 1323455800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13102212212100 its reverse (121221220131), we get a palindrome (13223433432231).

The spelling of 13102212212100 in words is "thirteen trillion, one hundred two billion, two hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1323455779 2646911558 3970367337 5293823116 6617278895 7940734674 11911102011 13234557790 14558013569 15881469348 19851836685 23822204022 26469115580 29116027138 33086394475 39703673370 43674040707 47644408044 58232054276 59555510055 66172788950 72790067845 79407346740 87348081414 99259183425 119111020110 131022122121 132345577900 145580135690 174696162828 198518366850 218370203535 238222040220 262044244242 291160271380 297777550275 363950339225 397036733700 436740407070 524088488484 595555100550 655110610605 727900678450 873480814140 1091851017675 1191110201100 1310221221210 1455801356900 2183702035350 2620442442420 3275553053025 4367404070700 6551106106050 13102212212100