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13224423100 = 22527151112503
BaseRepresentation
bin11000101000011110…
…01010111010111100
31021010122002022002011
430110033022322330
5204040423014400
610024125141004
7645466512250
oct142417127274
937118068064
1013224423100
115676929899
1226909ba764
131329a2a735
148d64a8260
15525ed28ba
hex3143caebc

13224423100 has 72 divisors (see below), whose sum is σ = 32820899328. Its totient is φ = 4530724800.

The previous prime is 13224423077. The next prime is 13224423133. The reversal of 13224423100 is 132442231.

It is a super-2 number, since 2×132244231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051449 + ... + 1063951.

It is an arithmetic number, because the mean of its divisors is an integer number (455845824).

Almost surely, 213224423100 is an apocalyptic number.

13224423100 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 13224423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410449664).

13224423100 is an abundant number, since it is smaller than the sum of its proper divisors (19596476228).

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

13224423100 is a wasteful number, since it uses less digits than its factorization.

13224423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14028 counting only the distinct ones).

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

Adding to 13224423100 its reverse (132442231), we get a palindrome (13356865331).

The spelling of 13224423100 in words is "thirteen billion, two hundred twenty-four million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1511 3022 6044 7555 10577 12503 15110 21154 25006 30220 37775 42308 50012 52885 62515 75550 87521 105770 125030 151100 175042 211540 250060 264425 312575 350084 437605 528850 625150 875210 1057700 1250300 1750420 2188025 4376050 8752100 18892033 37784066 75568132 94460165 132244231 188920330 264488462 377840660 472300825 528976924 661221155 944601650 1322442310 1889203300 2644884620 3306105775 6612211550 13224423100