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111424210400 = 2552619723539
BaseRepresentation
bin110011111000101100…
…1101000010111100000
3101122121100022100202102
41213301121220113200
53311144044213100
6123104303305532
711023124106236
oct1476131502740
9348540270672
10111424210400
11432890754a8
12197178ab2a8
13a6795a4359
1455703d8956
152d72170cd5
hex19f16685e0

111424210400 has 144 divisors (see below), whose sum is σ = 279335715120. Its totient is φ = 43385241600.

The previous prime is 111424210399. The next prime is 111424210507. The reversal of 111424210400 is 4012424111.

111424210400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4721831 + ... + 4745369.

It is an arithmetic number, because the mean of its divisors is an integer number (1939831355).

Almost surely, 2111424210400 is an apocalyptic number.

111424210400 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 111424210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139667857560).

111424210400 is an abundant number, since it is smaller than the sum of its proper divisors (167911504720).

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

111424210400 is a wasteful number, since it uses less digits than its factorization.

111424210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23717 (or 23704 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 111424210400 its reverse (4012424111), we get a palindrome (115436634511).

The spelling of 111424210400 in words is "one hundred eleven billion, four hundred twenty-four million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 97 100 122 160 194 200 244 305 388 400 485 488 610 776 800 970 976 1220 1525 1552 1940 1952 2425 2440 3050 3104 3880 4850 4880 5917 6100 7760 9700 9760 11834 12200 15520 19400 23539 23668 24400 29585 38800 47078 47336 48800 59170 77600 94156 94672 117695 118340 147925 188312 189344 235390 236680 295850 376624 470780 473360 588475 591700 753248 941560 946720 1176950 1183400 1435879 1883120 2283283 2353900 2366800 2871758 3766240 4566566 4707800 4733600 5743516 7179395 9133132 9415600 11416415 11487032 14358790 18266264 18831200 22832830 22974064 28717580 35896975 36532528 45665660 45948128 57082075 57435160 71793950 73065056 91331320 114164150 114870320 139280263 143587900 182662640 228328300 229740640 278560526 287175800 365325280 456656600 557121052 574351600 696401315 913313200 1114242104 1148703200 1392802630 1826626400 2228484208 2785605260 3482006575 4456968416 5571210520 6964013150 11142421040 13928026300 22284842080 27856052600 55712105200 111424210400