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13401102220 = 22511314345697
BaseRepresentation
bin11000111101100010…
…01001011110001100
31021120221112112021021
430132301021132030
5204421140232340
610053440043524
7653043326602
oct143661113614
937527475237
1013401102220
1157576334a0
1227200035a4
13135750abac
14911b39872
15536781e4a
hex31ec4978c

13401102220 has 96 divisors (see below), whose sum is σ = 32428763136. Its totient is φ = 4606156800.

The previous prime is 13401102203. The next prime is 13401102241. The reversal of 13401102220 is 2220110431.

13401102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13401102194 and 13401102203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270412 + ... + 316108.

It is an arithmetic number, because the mean of its divisors is an integer number (337799616).

Almost surely, 213401102220 is an apocalyptic number.

13401102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214381568).

13401102220 is an abundant number, since it is smaller than the sum of its proper divisors (19027660916).

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

13401102220 is a wasteful number, since it uses less digits than its factorization.

13401102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45791 (or 45789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13401102220 its reverse (2220110431), we get a palindrome (15621212651).

The spelling of 13401102220 in words is "thirteen billion, four hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 43 44 55 62 86 110 124 155 172 215 220 310 341 430 473 620 682 860 946 1333 1364 1705 1892 2365 2666 3410 4730 5332 6665 6820 9460 13330 14663 26660 29326 45697 58652 73315 91394 146630 182788 228485 293260 456970 502667 913940 1005334 1416607 1964971 2010668 2513335 2833214 3929942 5026670 5666428 7083035 7859884 9824855 10053340 14166070 15582677 19649710 21614681 28332140 31165354 39299420 43229362 60914101 62330708 77913385 86458724 108073405 121828202 155826770 216146810 243656404 304570505 311653540 432293620 609141010 670055111 1218282020 1340110222 2680220444 3350275555 6700551110 13401102220