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13211322000 = 243539112417
BaseRepresentation
bin11000100110111010…
…01100011010010000
31021002201102200202020
430103131030122100
5204024044301000
610022540251440
7645250245522
oct142335143220
937081380666
1013211322000
11566a4a0838
122688540b80
1313270c14c6
148d4857a12
15524c95ba0
hex31374c690

13211322000 has 160 divisors (see below), whose sum is σ = 42657698304. Its totient is φ = 3517696000.

The previous prime is 13211321971. The next prime is 13211322011. The reversal of 13211322000 is 22311231.

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

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, 5464792 + ... + 5467208.

Almost surely, 213211322000 is an apocalyptic number.

13211322000 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 13211322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21328849152).

13211322000 is an abundant number, since it is smaller than the sum of its proper divisors (29446376304).

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

13211322000 is a wasteful number, since it uses less digits than its factorization.

13211322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13211322000 its reverse (22311231), we get a palindrome (13233633231).

The spelling of 13211322000 in words is "thirteen billion, two hundred eleven million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 911 1000 1200 1500 1822 2000 2417 2733 3000 3644 4555 4834 5466 6000 7251 7288 9110 9668 10932 12085 13665 14502 14576 18220 19336 21864 22775 24170 27330 29004 36255 36440 38672 43728 45550 48340 54660 58008 60425 68325 72510 72880 91100 96680 109320 113875 116016 120850 136650 145020 181275 182200 193360 218640 227750 241700 273300 290040 302125 341625 362550 364400 455500 483400 546600 580080 604250 683250 725100 906375 911000 966800 1093200 1208500 1366500 1450200 1812750 1822000 2201887 2417000 2733000 2900400 3625500 4403774 4834000 5466000 6605661 7251000 8807548 11009435 13211322 14502000 17615096 22018870 26422644 33028305 35230192 44037740 52845288 55047175 66056610 88075480 105690576 110094350 132113220 165141525 176150960 220188700 264226440 275235875 330283050 440377400 528452880 550471750 660566100 825707625 880754800 1100943500 1321132200 1651415250 2201887000 2642264400 3302830500 4403774000 6605661000 13211322000