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1121010720 = 253513717047
BaseRepresentation
bin100001011010001…
…0100010000100000
32220010101020121120
41002310110100200
54243434320340
6303123052240
736531301554
oct10264242040
92803336546
101121010720
11525865a45
12273511080
1314b32916b
14a8c4b864
15686364d0
hex42d14420

1121010720 has 96 divisors (see below), whose sum is σ = 3557167488. Its totient is φ = 296736768.

The previous prime is 1121010707. The next prime is 1121010721. The reversal of 1121010720 is 270101211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11210107203 (a number of 28 digits) contains 333 as substring.

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 1121010720.

It is not an unprimeable number, because it can be changed into a prime (1121010721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57237 + ... + 74283.

It is an arithmetic number, because the mean of its divisors is an integer number (37053828).

Almost surely, 21121010720 is an apocalyptic number.

1121010720 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 1121010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778583744).

1121010720 is an abundant number, since it is smaller than the sum of its proper divisors (2436156768).

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

1121010720 is a wasteful number, since it uses less digits than its factorization.

1121010720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 17194 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 1121010720 is about 33481.4981743649. The cubic root of 1121010720 is about 1038.8111167829.

Adding to 1121010720 its reverse (270101211), we get a palindrome (1391111931).

The spelling of 1121010720 in words is "one billion, one hundred twenty-one million, ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 160 240 274 411 480 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 4384 5480 6576 8220 10960 13152 16440 17047 21920 32880 34094 51141 65760 68188 85235 102282 136376 170470 204564 255705 272752 340940 409128 511410 545504 681880 818256 1022820 1363760 1636512 2045640 2335439 2727520 4091280 4670878 7006317 8182560 9341756 11677195 14012634 18683512 23354390 28025268 35031585 37367024 46708780 56050536 70063170 74734048 93417560 112101072 140126340 186835120 224202144 280252680 373670240 560505360 1121010720