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1320201120 = 25357256131
BaseRepresentation
bin100111010110000…
…1010101110100000
310102000012011110210
41032230022232200
510200432413440
6335000254120
744500344600
oct11654125640
93360164423
101320201120
11618245707
1230a171340
1318068bac4
14c749cc00
157ad80a80
hex4eb0aba0

1320201120 has 144 divisors (see below), whose sum is σ = 4837680288. Its totient is φ = 301754880.

The previous prime is 1320201109. The next prime is 1320201143. The reversal of 1320201120 is 211020231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1320201096 and 1320201105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4546 + ... + 51585.

It is an arithmetic number, because the mean of its divisors is an integer number (33595002).

Almost surely, 21320201120 is an apocalyptic number.

1320201120 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 1320201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418840144).

1320201120 is an abundant number, since it is smaller than the sum of its proper divisors (3517479168).

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

1320201120 is a wasteful number, since it uses less digits than its factorization.

1320201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56163 (or 56148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1320201120 is about 36334.5719666546. The cubic root of 1320201120 is about 1097.0170199953.

Adding to 1320201120 its reverse (211020231), we get a palindrome (1531221351).

The spelling of 1320201120 in words is "one billion, three hundred twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 56131 112262 168393 224524 280655 336786 392917 449048 561310 673572 785834 841965 898096 1122620 1178751 1347144 1571668 1683930 1796192 1964585 2245240 2357502 2694288 2750419 3143336 3367860 3929170 4490480 4715004 5388576 5500838 5893755 6286672 6735720 7858340 8251257 8980960 9430008 11001676 11787510 12573344 13471440 13752095 15716680 16502514 18860016 22003352 23575020 26942880 27504190 31433360 33005028 37720032 41256285 44006704 47150040 55008380 62866720 66010056 82512570 88013408 94300080 110016760 132020112 165025140 188600160 220033520 264040224 330050280 440067040 660100560 1320201120