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1321310020 = 225436189283
BaseRepresentation
bin100111011000001…
…1001011101000100
310102002021111121011
41032300121131010
510201223410040
6335040132004
744512643542
oct11660313504
93362244534
101321310020
11618932858
1230a607004
13180989764
14c76aad92
157aeee3ea
hex4ec19744

1321310020 has 96 divisors (see below), whose sum is σ = 2928562560. Its totient is φ = 500290560.

The previous prime is 1321310009. The next prime is 1321310033. The reversal of 1321310020 is 200131231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4668799 + ... + 4669081.

It is an arithmetic number, because the mean of its divisors is an integer number (30505860).

Almost surely, 21321310020 is an apocalyptic number.

1321310020 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 1321310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464281280).

1321310020 is an abundant number, since it is smaller than the sum of its proper divisors (1607252540).

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

1321310020 is a wasteful number, since it uses less digits than its factorization.

1321310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1321310020 is about 36349.8283352205. The cubic root of 1321310020 is about 1097.3240797102.

Adding to 1321310020 its reverse (200131231), we get a palindrome (1521441251).

The spelling of 1321310020 in words is "one billion, three hundred twenty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 43 61 86 89 122 172 178 215 244 283 305 356 430 445 566 610 860 890 1132 1220 1415 1780 2623 2830 3827 5246 5429 5660 7654 10492 10858 12169 13115 15308 17263 19135 21716 24338 25187 26230 27145 34526 38270 48676 50374 52460 54290 60845 69052 76540 86315 100748 108580 121690 125935 172630 233447 243380 251870 345260 466894 503740 742309 933788 1083041 1167235 1484618 1536407 2166082 2334470 2969236 3072814 3711545 4332164 4668940 5415205 6145628 7423090 7682035 10830410 14846180 15364070 21660820 30728140 66065501 132131002 264262004 330327505 660655010 1321310020