Search a number
-
+
11245332320320 = 26575849858307
BaseRepresentation
bin1010001110100100001000…
…0010011101000001000000
31110211001011112200211122111
42203221002002131001000
52433220420033222240
635530011230345104
72240306550406450
oct243510202350100
943731145624574
1011245332320320
113646133a2534a
12131750705b194
1363757945a2b7
142ac3c40add60
151477b48121ea
hexa3a4209d040

11245332320320 has 112 divisors (see below), whose sum is σ = 30608636572800. Its totient is φ = 3854878838784.

The previous prime is 11245332320281. The next prime is 11245332320323. The reversal of 11245332320320 is 2302323354211.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (11245332320323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12672607 + ... + 13530913.

Almost surely, 211245332320320 is an apocalyptic number.

11245332320320 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 11245332320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304318286400).

11245332320320 is an abundant number, since it is smaller than the sum of its proper divisors (19363304252480).

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

11245332320320 is an equidigital number, since it uses as much as digits as its factorization.

11245332320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864180 (or 864170 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 11245332320320 its reverse (2302323354211), we get a palindrome (13547655674531).

The spelling of 11245332320320 in words is "eleven trillion, two hundred forty-five billion, three hundred thirty-two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5849 11698 23396 29245 40943 46792 58490 81886 93584 116980 163772 187168 204715 233960 327544 374336 409430 467920 655088 818860 858307 935840 1310176 1637720 1716614 1871680 2620352 3275440 3433228 4291535 6008149 6550880 6866456 8583070 12016298 13101760 13732912 17166140 24032596 27465824 30040745 34332280 48065192 54931648 60081490 68664560 96130384 120162980 137329120 192260768 240325960 274658240 384521536 480651920 961303840 1922607680 5020237643 10040475286 20080950572 25101188215 35141663501 40161901144 50202376430 70283327002 80323802288 100404752860 140566654004 160647604576 175708317505 200809505720 281133308008 321295209152 351416635010 401619011440 562266616016 702833270020 803238022880 1124533232032 1405666540040 1606476045760 2249066464064 2811333080080 5622666160160 11245332320320