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13220101170 = 23251761141649
BaseRepresentation
bin11000100111111101…
…01011110000110010
31021010022221201111200
430103332223300302
5204033321214140
610023452352030
7645415002003
oct142376536062
937108851450
1013220101170
115674447751
12268b475616
131328b76493
148d5aa11aa
1552592c030
hex313fabc32

13220101170 has 96 divisors (see below), whose sum is σ = 36991047600. Its totient is φ = 3263569920.

The previous prime is 13220101127. The next prime is 13220101171. The reversal of 13220101170 is 7110102231.

It is a happy number.

13220101170 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7693219521 + 5526881649 = 87711^2 + 74343^2 .

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 (13220101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22506 + ... + 164154.

Almost surely, 213220101170 is an apocalyptic number.

13220101170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220101170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495523800).

13220101170 is an abundant number, since it is smaller than the sum of its proper divisors (23770946430).

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

13220101170 is a wasteful number, since it uses less digits than its factorization.

13220101170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141740 (or 141737 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 13220101170 in words is "thirteen billion, two hundred twenty million, one hundred one thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 61 85 90 102 122 153 170 183 255 305 306 366 510 549 610 765 915 1037 1098 1530 1830 2074 2745 3111 5185 5490 6222 9333 10370 15555 18666 31110 46665 93330 141649 283298 424947 708245 849894 1274841 1416490 2124735 2408033 2549682 4249470 4816066 6374205 7224099 8640589 12040165 12748410 14448198 17281178 21672297 24080330 25921767 36120495 43202945 43344594 51843534 72240990 77765301 86405890 108361485 129608835 146890013 155530602 216722970 259217670 293780026 388826505 440670039 734450065 777653010 881340078 1322010117 1468900130 2203350195 2644020234 4406700390 6610050585 13220101170