Search a number
-
+
112434033400 = 235213117136929
BaseRepresentation
bin110100010110110010…
…1110011001011111000
3101202012201110200111021
41220231211303023320
53320231103032100
6123352415312224
711060135341513
oct1505545631370
9352181420437
10112434033400
1143757098467
1219959b1b674
13a7aa870660
145628581d7a
152dd0b42a1a
hex1a2d9732f8

112434033400 has 96 divisors (see below), whose sum is σ = 281765559600. Its totient is φ = 41477529600.

The previous prime is 112434033347. The next prime is 112434033403. The reversal of 112434033400 is 4330434211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112434033403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3026136 + ... + 3063064.

Almost surely, 2112434033400 is an apocalyptic number.

112434033400 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 112434033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140882779800).

112434033400 is an abundant number, since it is smaller than the sum of its proper divisors (169331526200).

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

112434033400 is a wasteful number, since it uses less digits than its factorization.

112434033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38129 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 112434033400 its reverse (4330434211), we get a palindrome (116764467611).

The spelling of 112434033400 in words is "one hundred twelve billion, four hundred thirty-four million, thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1171 1300 2342 2600 4684 5855 9368 11710 15223 23420 29275 30446 36929 46840 58550 60892 73858 76115 117100 121784 147716 152230 184645 234200 295432 304460 369290 380575 480077 608920 738580 761150 923225 960154 1477160 1522300 1846450 1920308 2400385 3044600 3692900 3840616 4800770 7385800 9601540 12001925 19203080 24003850 43243859 48007700 86487718 96015400 172975436 216219295 345950872 432438590 562170167 864877180 1081096475 1124340334 1729754360 2162192950 2248680668 2810850835 4324385900 4497361336 5621701670 8648771800 11243403340 14054254175 22486806680 28108508350 56217016700 112434033400