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3123220131020 = 2251124315994999
BaseRepresentation
bin101101011100101110011…
…011010010110011001100
3102001120120120200111021102
4231130232123102303030
5402132323323143040
610350442034322232
7441434210042423
oct55345633226314
912046516614242
103123220131020
11aa4606383a00
12425374129378
13198697bb3a32
14ab243b882ba
1556397272515
hex2d72e6d2ccc

3123220131020 has 144 divisors (see below), whose sum is σ = 7239456000000. Its totient is φ = 1130963433600.

The previous prime is 3123220130999. The next prime is 3123220131121. The reversal of 3123220131020 is 201310223213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3123220130983 and 3123220131001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624766481 + ... + 624771479.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000000).

Almost surely, 23123220131020 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 3123220131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000000).

3123220131020 is an abundant number, since it is smaller than the sum of its proper divisors (4116235868980).

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

3123220131020 is a wasteful number, since it uses less digits than its factorization.

3123220131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3123220131020 its reverse (201310223213), we get a palindrome (3324530354233).

The spelling of 3123220131020 in words is "three trillion, one hundred twenty-three billion, two hundred twenty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 431 484 599 605 862 1198 1210 1724 2155 2396 2420 2995 4310 4741 4999 5990 6589 8620 9482 9998 11980 13178 18964 19996 23705 24995 26356 32945 47410 49990 52151 54989 65890 72479 94820 99980 104302 109978 131780 144958 208604 219956 258169 260755 274945 289916 362395 516338 521510 549890 604879 724790 1032676 1043020 1099780 1209758 1290845 1449580 2154569 2419516 2581690 2839859 2994401 3024395 4309138 5163380 5679718 5988802 6048790 8618276 10772845 11359436 11977604 12097580 14199295 14972005 21545690 23700259 28398590 29944010 31238449 32938411 43091380 47400518 56797180 59888020 62476898 65876822 94801036 118501295 124953796 131753644 156192245 164692055 237002590 260702849 312384490 329384110 362322521 474005180 521405698 624768980 658768220 724645042 1042811396 1290586831 1303514245 1449290084 1811612605 2581173662 2607028490 3623225210 5162347324 5214056980 6452934155 7246450420 12905868310 14196455141 25811736620 28392910282 56785820564 70982275705 141964551410 156161006551 283929102820 312322013102 624644026204 780805032755 1561610065510 3123220131020