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1113344400 = 243527132541
BaseRepresentation
bin100001001011100…
…0100100110010000
32212120221202101210
41002113010212100
54240004010100
6302250500120
736406162020
oct10227044620
92776852353
101113344400
115214aa143
12270a34640
1314987388c
14a7c13a80
1567b1ec50
hex425c4990

1113344400 has 120 divisors (see below), whose sum is σ = 4075931584. Its totient is φ = 254476800.

The previous prime is 1113344359. The next prime is 1113344429. The reversal of 1113344400 is 44433111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11133444002 = 2479071506022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57871 + ... + 74670.

Almost surely, 21113344400 is an apocalyptic number.

1113344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113344400 is an abundant number, since it is smaller than the sum of its proper divisors (2962587184).

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

1113344400 is a wasteful number, since it uses less digits than its factorization.

1113344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132569 (or 132558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1113344400 is about 33366.8158504823. The cubic root of 1113344400 is about 1036.4376390258.

Adding to 1113344400 its reverse (44433111), we get a palindrome (1157777511).

The spelling of 1113344400 in words is "one billion, one hundred thirteen million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 132541 265082 397623 530164 662705 795246 927787 1060328 1325410 1590492 1855574 1988115 2120656 2650820 2783361 3180984 3313525 3711148 3976230 4638935 5301640 5566722 6361968 6627050 7422296 7952460 9277870 9940575 10603280 11133444 13254100 13916805 14844592 15904920 18555740 19881150 22266888 23194675 26508200 27833610 31809840 37111480 39762300 44533776 46389350 53016400 55667220 69584025 74222960 79524600 92778700 111334440 139168050 159049200 185557400 222668880 278336100 371114800 556672200 1113344400