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1310322002220 = 2232571194539827
BaseRepresentation
bin10011000100010101010…
…001110000100100101100
311122021011121000111100200
4103010111101300210230
5132432014413032340
62441541551553500
7163445000151330
oct23042521604454
94567147014320
101310322002220
11465782679240
12191b4822b890
139674171726a
14475c43ab7c0
15241401db330
hex1311547092c

1310322002220 has 144 divisors (see below), whose sum is σ = 4955399624448. Its totient is φ = 272274698880.

The previous prime is 1310322002219. The next prime is 1310322002267. The reversal of 1310322002220 is 222002230131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310322002193 and 1310322002202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47256054 + ... + 47283773.

It is an arithmetic number, because the mean of its divisors is an integer number (34412497392).

Almost surely, 21310322002220 is an apocalyptic number.

1310322002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310322002220 is an abundant number, since it is smaller than the sum of its proper divisors (3645077622228).

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

1310322002220 is a wasteful number, since it uses less digits than its factorization.

1310322002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94539860 (or 94539855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1310322002220 its reverse (222002230131), we get a palindrome (1532324232351).

The spelling of 1310322002220 in words is "one trillion, three hundred ten billion, three hundred twenty-two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 94539827 189079654 283619481 378159308 472699135 567238962 661778789 850858443 945398270 1039938097 1134477924 1323557578 1418097405 1701716886 1890796540 1985336367 2079876194 2647115156 2836194810 3119814291 3308893945 3403433772 3970672734 4159752388 4254292215 5199690485 5672389620 5956009101 6239628582 6617787890 7279566679 7941345468 8508584430 9359442873 9926681835 10399380970 11912018202 12479257164 13235575780 14559133358 15599071455 17017168860 18718885746 19853363670 20798761940 21838700037 23824036404 29118266716 29780045505 31198142910 36397833395 37437771492 39706727340 43677400074 46797214365 59560091010 62396285820 65516100111 72795666790 87354800148 93594428730 109193500185 119120182020 131032200222 145591333580 187188857460 218387000370 262064400444 327580500555 436774000740 655161001110 1310322002220