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3022131320320 = 2957553130491
BaseRepresentation
bin101011111110100101000…
…100000101011000000000
3101200220122112020211112111
4223332211010011120000
5344003311104222240
610232203054305104
7431225142242620
oct53764504053000
911626575224474
103022131320320
11a65751386252
124098617b8194
1318bca7940608
14a63b429c880
155392c6621ea
hex2bfa5105600

3022131320320 has 160 divisors (see below), whose sum is σ = 8282948357376. Its totient is φ = 1035937996800.

The previous prime is 3022131320303. The next prime is 3022131320357. The reversal of 3022131320320 is 230231312203.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 3022131320291 and 3022131320300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99100275 + ... + 99130765.

Almost surely, 23022131320320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022131320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141474178688).

3022131320320 is an abundant number, since it is smaller than the sum of its proper divisors (5260817037056).

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

3022131320320 is an equidigital number, since it uses as much as digits as its factorization.

3022131320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36052 (or 36036 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3022131320320 its reverse (230231312203), we get a palindrome (3252362632523).

The spelling of 3022131320320 in words is "three trillion, twenty-two billion, one hundred thirty-one 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 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 5531 8960 11062 17920 22124 27655 30491 38717 44248 55310 60982 77434 88496 110620 121964 152455 154868 176992 193585 213437 221240 243928 304910 309736 353984 387170 426874 442480 487856 609820 619472 707968 774340 853748 884960 975712 1067185 1219640 1238944 1415936 1548680 1707496 1769920 1951424 2134370 2439280 2477888 2831872 3097360 3414992 3539840 3902848 4268740 4878560 4955776 6194720 6829984 7079680 7805696 8537480 9757120 9911552 12389440 13659968 14159360 15611392 17074960 19514240 19823104 24778880 27319936 34149920 39028480 49557760 54639872 68299840 78056960 99115520 109279744 136599680 168645721 273199360 337291442 546398720 674582884 843228605 1180520047 1349165768 1686457210 2361040094 2698331536 3372914420 4722080188 5396663072 5902600235 6745828840 9444160376 10793326144 11805200470 13491657680 18888320752 21586652288 23610400940 26983315360 37776641504 43173304576 47220801880 53966630720 75553283008 86346609152 94441603760 107933261440 151106566016 188883207520 215866522880 302213132032 377766415040 431733045760 604426264064 755532830080 1511065660160 3022131320320