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1300011120 = 2436522291
BaseRepresentation
bin100110101111100…
…1001100001110000
310100121012102000000
41031133021201300
510130300323440
6332555430000
744133624612
oct11537114160
93317172000
101300011120
11607905661
12303455300
13179440065
14c4924db2
15791e3730
hex4d7c9870

1300011120 has 140 divisors (see below), whose sum is σ = 4531919016. Its totient is φ = 346654080.

The previous prime is 1300011107. The next prime is 1300011121. The reversal of 1300011120 is 211100031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300011121) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47175 + ... + 69465.

Almost surely, 21300011120 is an apocalyptic number.

1300011120 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 1300011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265959508).

1300011120 is an abundant number, since it is smaller than the sum of its proper divisors (3231907896).

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

1300011120 is an equidigital number, since it uses as much as digits as its factorization.

1300011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22322 (or 22301 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1300011120 is about 36055.6669609647. Note that the first 3 decimals coincide. The cubic root of 1300011120 is about 1091.3959949212.

Adding to 1300011120 its reverse (211100031), we get a palindrome (1511111151).

The spelling of 1300011120 in words is "one billion, three hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 22291 29160 44582 58320 66873 89164 111455 133746 178328 200619 222910 267492 334365 356656 401238 445820 534984 601857 668730 802476 891640 1003095 1069968 1203714 1337460 1604952 1783280 1805571 2006190 2407428 2674920 3009285 3209904 3611142 4012380 4814856 5349840 5416713 6018570 7222284 8024760 9027855 9629712 10833426 12037140 14444568 16049520 16250139 18055710 21666852 24074280 27083565 28889136 32500278 36111420 43333704 48148560 54167130 65000556 72222840 81250695 86667408 108334260 130001112 144445680 162501390 216668520 260002224 325002780 433337040 650005560 1300011120