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13120222000 = 245319379911
BaseRepresentation
bin11000011100000011…
…01011001100110000
31020212101000100001011
430032001223030300
5203332234101000
610005523520304
7643063022044
oct141601531460
936771010034
1013120222000
115623028a86
122661b29094
131311275992
148c6702024
1551bc9d2ba
hex30e06b330

13120222000 has 160 divisors (see below), whose sum is σ = 33519283200. Its totient is φ = 4953312000.

The previous prime is 13120221997. The next prime is 13120222007. The reversal of 13120222000 is 22202131.

It is not an unprimeable number, because it can be changed into a prime (13120222007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14401545 + ... + 14402455.

It is an arithmetic number, because the mean of its divisors is an integer number (209495520).

Almost surely, 213120222000 is an apocalyptic number.

13120222000 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 13120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759641600).

13120222000 is an abundant number, since it is smaller than the sum of its proper divisors (20399061200).

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

13120222000 is a wasteful number, since it uses less digits than its factorization.

13120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13120222000 its reverse (22202131), we get a palindrome (13142424131).

The spelling of 13120222000 in words is "thirteen billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 379 380 400 475 500 758 760 911 950 1000 1516 1520 1822 1895 1900 2000 2375 3032 3644 3790 3800 4555 4750 6064 7201 7288 7580 7600 9110 9475 9500 14402 14576 15160 17309 18220 18950 19000 22775 28804 30320 34618 36005 36440 37900 38000 45550 47375 57608 69236 72010 72880 75800 86545 91100 94750 113875 115216 138472 144020 151600 173090 180025 182200 189500 227750 276944 288040 345269 346180 360050 364400 379000 432725 455500 576080 690538 692360 720100 758000 865450 900125 911000 1381076 1384720 1440200 1726345 1730900 1800250 1822000 2163625 2762152 2880400 3452690 3461800 3600500 4327250 5524304 6560111 6905380 6923600 7201000 8631725 8654500 13120222 13810760 14402000 17263450 17309000 26240444 27621520 32800555 34526900 34618000 43158625 52480888 65601110 69053800 86317250 104961776 131202220 138107600 164002775 172634500 262404440 328005550 345269000 524808880 656011100 690538000 820013875 1312022200 1640027750 2624044400 3280055500 6560111000 13120222000