Search a number
-
+
110431433000 = 2353716079817
BaseRepresentation
bin110011011011000111…
…0011111000100101000
3101120001011020001012002
41212312032133010220
53302130421324000
6122422000510132
710656410456420
oct1466616370450
9346034201162
10110431433000
1142919735109
121949b31b348
13a54b9c57c5
1454b860b480
152d14e198d5
hex19b639f128

110431433000 has 128 divisors (see below), whose sum is σ = 295539079680. Its totient is φ = 37834790400.

The previous prime is 110431432987. The next prime is 110431433009. The reversal of 110431433000 is 334134011.

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

It is not an unprimeable number, because it can be changed into a prime (110431433009) 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, 11244092 + ... + 11253908.

It is an arithmetic number, because the mean of its divisors is an integer number (2308899060).

Almost surely, 2110431433000 is an apocalyptic number.

110431433000 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 110431433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147769539840).

110431433000 is an abundant number, since it is smaller than the sum of its proper divisors (185107646680).

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

110431433000 is a wasteful number, since it uses less digits than its factorization.

110431433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11452 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 110431433000 its reverse (334134011), we get a palindrome (110765567011).

The spelling of 110431433000 in words is "one hundred ten billion, four hundred thirty-one million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1607 1750 3214 3500 6428 7000 8035 9817 11249 12856 16070 19634 22498 32140 39268 40175 44996 49085 56245 64280 68719 78536 80350 89992 98170 112490 137438 160700 196340 200875 224980 245425 274876 281225 321400 343595 392680 401750 449960 490850 549752 562450 687190 803500 981700 1124900 1227125 1374380 1406125 1607000 1717975 1963400 2249800 2454250 2748760 2812250 3435950 4908500 5624500 6871900 8589875 9817000 11249000 13743800 15775919 17179750 31551838 34359500 63103676 68719000 78879595 110431433 126207352 157759190 220862866 315518380 394397975 441725732 552157165 631036760 788795950 883451464 1104314330 1577591900 1971989875 2208628660 2760785825 3155183800 3943979750 4417257320 5521571650 7887959500 11043143300 13803929125 15775919000 22086286600 27607858250 55215716500 110431433000