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14331002202220 = 225113115461135911
BaseRepresentation
bin1101000010001011001001…
…0010111010100001101100
31212202000211011222000212111
43100202302102322201230
53334244343030432340
650251323241013404
73006244410554224
oct320426222724154
955660734860774
1014331002202220
114625820153310
12173553b784264
137cc53b9762c2
143778a4b7b084
1519cbb019eaea
hexd08b24ba86c

14331002202220 has 96 divisors (see below), whose sum is σ = 33892529836032. Its totient is φ = 5042804640000.

The previous prime is 14331002202217. The next prime is 14331002202229. The reversal of 14331002202220 is 2220220013341.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14331002202191 and 14331002202200.

It is not an unprimeable number, because it can be changed into a prime (14331002202229) 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 31 ways as a sum of consecutive naturals, for example, 105376065 + ... + 105511975.

It is an arithmetic number, because the mean of its divisors is an integer number (353047185792).

Almost surely, 214331002202220 is an apocalyptic number.

14331002202220 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 14331002202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946264918016).

14331002202220 is an abundant number, since it is smaller than the sum of its proper divisors (19561527633812).

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

14331002202220 is a wasteful number, since it uses less digits than its factorization.

14331002202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151423 (or 151421 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14331002202220 its reverse (2220220013341), we get a palindrome (16551222215561).

The spelling of 14331002202220 in words is "fourteen trillion, three hundred thirty-one billion, two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 15461 30922 61844 77305 135911 154610 170071 271822 309220 340142 479291 543644 679555 680284 850355 958582 1359110 1495021 1700710 1917164 2396455 2718220 2990042 3401420 4213241 4792910 5272201 5980084 7475105 8426482 9585820 10544402 14950210 16852964 21066205 21088804 26361005 29900420 42132410 46345651 52722010 84264820 92691302 105444020 185382604 231728255 463456510 926913020 2101319971 4202639942 8405279884 10506599855 21013199710 23114519681 42026399420 46229039362 65140919101 92458078724 115572598405 130281838202 231145196810 260563676404 325704595505 462290393620 651409191010 716550110111 1302818382020 1433100220222 2866200440444 3582750550555 7165501101110 14331002202220