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13414242100220 = 22513671017624241
BaseRepresentation
bin1100001100110011111100…
…1000101010001111111100
31202111101111121002112220122
43003030333020222033330
53224234331434201340
644310230122234112
72553101265351443
oct303147710521774
952441447075818
1013414242100220
114301a47a58855
12160792a655938
13763c5ab103a0
143453778c1d5a
15183e06586db5
hexc333f22a3fc

13414242100220 has 96 divisors (see below), whose sum is σ = 31094464597056. Its totient is φ = 4830718464000.

The previous prime is 13414242100211. The next prime is 13414242100241. The reversal of 13414242100220 is 2200124241431.

It is a super-2 number, since 2×134142421002202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13414242100220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052701 + ... + 5571540.

It is an arithmetic number, because the mean of its divisors is an integer number (323900672886).

Almost surely, 213414242100220 is an apocalyptic number.

13414242100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414242100220 is an abundant number, since it is smaller than the sum of its proper divisors (17680222496836).

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

13414242100220 is a wasteful number, since it uses less digits than its factorization.

13414242100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624431 (or 7624429 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13414242100220 its reverse (2200124241431), we get a palindrome (15614366341651).

The spelling of 13414242100220 in words is "thirteen trillion, four hundred fourteen billion, two hundred forty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 101 130 134 202 260 268 335 404 505 670 871 1010 1313 1340 1742 2020 2626 3484 4355 5252 6565 6767 8710 13130 13534 17420 26260 27068 33835 67670 87971 135340 175942 351884 439855 879710 1759420 7624241 15248482 30496964 38121205 76242410 99115133 152484820 198230266 396460532 495575665 510824147 770048341 991151330 1021648294 1540096682 1982302660 2043296588 2554120735 3080193364 3850241705 5108241470 6640713911 7700483410 10010628433 10216482940 13281427822 15400966820 20021256866 26562855644 33203569555 40042513732 50053142165 51593238847 66407139110 100106284330 103186477694 132814278220 200212568660 206372955388 257966194235 515932388470 670712105011 1031864776940 1341424210022 2682848420044 3353560525055 6707121050110 13414242100220