Search a number
-
+
13222030002000 = 2435313915853753
BaseRepresentation
bin1100000001100111111001…
…1001101100011101010000
31201211000101000010021020220
43000121332121230131100
53213112204140031000
644042041114033040
72533155141441441
oct300317631543520
951730330107226
1013222030002000
114238482269516
121596627118780
1374baa8102421
14339d41c572c8
1517de06bb41a0
hexc067e66c750

13222030002000 has 160 divisors (see below), whose sum is σ = 42934502432640. Its totient is φ = 3500508441600.

The previous prime is 13222030001897. The next prime is 13222030002011. The reversal of 13222030002000 is 20003022231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7092877 + ... + 8760876.

It is an arithmetic number, because the mean of its divisors is an integer number (268340640204).

Almost surely, 213222030002000 is an apocalyptic number.

13222030002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222030002000 is an abundant number, since it is smaller than the sum of its proper divisors (29712472430640).

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

13222030002000 is a wasteful number, since it uses less digits than its factorization.

13222030002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15853918 (or 15853902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13222030002000 its reverse (20003022231), we get a palindrome (13242033024231).

The spelling of 13222030002000 in words is "thirteen trillion, two hundred twenty-two billion, thirty million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 139 150 200 240 250 278 300 375 400 417 500 556 600 695 750 834 1000 1112 1200 1390 1500 1668 2000 2085 2224 2780 3000 3336 3475 4170 5560 6000 6672 6950 8340 10425 11120 13900 16680 17375 20850 27800 33360 34750 41700 52125 55600 69500 83400 104250 139000 166800 208500 278000 417000 834000 15853753 31707506 47561259 63415012 79268765 95122518 126830024 158537530 190245036 237806295 253660048 317075060 380490072 396343825 475612590 634150120 760980144 792687650 951225180 1189031475 1268300240 1585375300 1902450360 1981719125 2203671667 2378062950 3170750600 3804900720 3963438250 4407343334 4756125900 5945157375 6341501200 6611015001 7926876500 8814686668 9512251800 11018358335 11890314750 13222030002 15853753000 17629373336 19024503600 22036716670 23780629500 26444060004 31707506000 33055075005 35258746672 44073433340 47561259000 52888120008 55091791675 66110150010 88146866680 95122518000 105776240016 110183583350 132220300020 165275375025 176293733360 220367166700 264440600040 275458958375 330550750050 440734333400 528881200080 550917916750 661101500100 826376875125 881468666800 1101835833500 1322203000200 1652753750250 2203671667000 2644406000400 3305507500500 4407343334000 6611015001000 13222030002000