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313220010300 = 2235219311772609
BaseRepresentation
bin1001000111011010101…
…11100001000100111100
31002221110211201010121020
410203231113201010330
520112433310312200
6355520303504140
731425612105411
oct4435527410474
91087424633536
10313220010300
1111092159174a
12508548b8050
13236c8972902
1411234bbc108
1582330bdea0
hex48ed5e113c

313220010300 has 144 divisors (see below), whose sum is σ = 984720307200. Its totient is φ = 76576665600.

The previous prime is 313220010293. The next prime is 313220010353. The reversal of 313220010300 is 3010022313.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313220010300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709605 + ... + 1063004.

Almost surely, 2313220010300 is an apocalyptic number.

313220010300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313220010300 is an abundant number, since it is smaller than the sum of its proper divisors (671500296900).

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

313220010300 is a wasteful number, since it uses less digits than its factorization.

313220010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772676 (or 1772669 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313220010300 its reverse (3010022313), we get a palindrome (316230032613).

The spelling of 313220010300 in words is "three hundred thirteen billion, two hundred twenty million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1767 1860 1900 2325 2356 2850 2945 3100 3534 4650 5700 5890 7068 8835 9300 11780 14725 17670 29450 35340 44175 58900 88350 176700 1772609 3545218 5317827 7090436 8863045 10635654 17726090 21271308 26589135 33679571 35452180 44315225 53178270 54950879 67359142 88630450 101038713 106356540 109901758 132945675 134718284 164852637 168397855 177260900 202077426 219803516 265891350 274754395 329705274 336795710 404154852 505193565 531782700 549508790 659410548 673591420 824263185 841989275 1010387130 1044066701 1099017580 1373771975 1648526370 1683978550 2020774260 2088133402 2525967825 2747543950 3132200103 3297052740 3367957100 4121315925 4176266804 5051935650 5220333505 5495087900 6264400206 8242631850 10103871300 10440667010 12528800412 15661000515 16485263700 20881334020 26101667525 31322001030 52203335050 62644002060 78305002575 104406670100 156610005150 313220010300