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1201130320 = 245132731217
BaseRepresentation
bin100011110010111…
…1100101101010000
310002201010202001011
41013211330231100
54424442132240
6315104220304
741523303445
oct10745745520
93081122034
101201130320
11567008a95
1229630a694
13161acbb00
14b57459cc
15706b06ea
hex4797cb50

1201130320 has 120 divisors (see below), whose sum is σ = 3067913016. Its totient is φ = 437059584.

The previous prime is 1201130317. The next prime is 1201130347. The reversal of 1201130320 is 230311021.

It can be written as a sum of positive squares in 12 ways, for example, as 741799696 + 459330624 = 27236^2 + 21432^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1201130320.

It is a congruent number.

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, 986352 + ... + 987568.

Almost surely, 21201130320 is an apocalyptic number.

1201130320 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 1201130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533956508).

1201130320 is an abundant number, since it is smaller than the sum of its proper divisors (1866782696).

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

1201130320 is a wasteful number, since it uses less digits than its factorization.

1201130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1310 counting only the distinct ones).

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

The square root of 1201130320 is about 34657.3270752376. The cubic root of 1201130320 is about 1062.9921156544.

Adding to 1201130320 its reverse (230311021), we get a palindrome (1431441341).

The spelling of 1201130320 in words is "one billion, two hundred one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 169 208 260 292 338 365 520 584 676 730 845 949 1040 1168 1217 1352 1460 1690 1898 2434 2704 2920 3380 3796 4745 4868 5840 6085 6760 7592 9490 9736 12170 12337 13520 15184 15821 18980 19472 24340 24674 31642 37960 48680 49348 61685 63284 75920 79105 88841 97360 98696 123370 126568 158210 177682 197392 205673 246740 253136 316420 355364 411346 444205 493480 632840 710728 822692 888410 986960 1028365 1154933 1265680 1421456 1645384 1776820 2056730 2309866 3290768 3553640 4113460 4619732 5774665 7107280 8226920 9239464 11549330 15014129 16453840 18478928 23098660 30028258 46197320 60056516 75070645 92394640 120113032 150141290 240226064 300282580 600565160 1201130320