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1113412320 = 253257011103
BaseRepresentation
bin100001001011101…
…0101001011100000
32212121002012120100
41002113111023200
54240013143240
6302252142400
736406564026
oct10227251340
92777065510
101113412320
11521546179
12270a67a00
13149898777
14a7c30716
1567b34e30
hex425d52e0

1113412320 has 144 divisors (see below), whose sum is σ = 3808389312. Its totient is φ = 296217600.

The previous prime is 1113412309. The next prime is 1113412327. The reversal of 1113412320 is 232143111.

1113412320 is a `hidden beast` number, since 1 + 1 + 1 + 341 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1113412293 and 1113412302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113412327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008889 + ... + 1009991.

It is an arithmetic number, because the mean of its divisors is an integer number (26447148).

Almost surely, 21113412320 is an apocalyptic number.

1113412320 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 1113412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904194656).

1113412320 is an abundant number, since it is smaller than the sum of its proper divisors (2694976992).

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

1113412320 is a wasteful number, since it uses less digits than its factorization.

1113412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1113412320 is about 33367.8336126276. The cubic root of 1113412320 is about 1036.4587146884.

Adding to 1113412320 its reverse (232143111), we get a palindrome (1345555431).

The spelling of 1113412320 in words is "one billion, one hundred thirteen million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 701 720 1103 1402 1440 2103 2206 2804 3309 3505 4206 4412 5515 5608 6309 6618 7010 8412 8824 9927 10515 11030 11216 12618 13236 14020 16545 16824 17648 19854 21030 22060 22432 25236 26472 28040 31545 33090 33648 35296 39708 42060 44120 49635 50472 52944 56080 63090 66180 67296 79416 84120 88240 99270 100944 105888 112160 126180 132360 158832 168240 176480 198540 201888 252360 264720 317664 336480 397080 504720 529440 773203 794160 1009440 1546406 1588320 2319609 3092812 3866015 4639218 6185624 6958827 7732030 9278436 11598045 12371248 13917654 15464060 18556872 23196090 24742496 27835308 30928120 34794135 37113744 46392180 55670616 61856240 69588270 74227488 92784360 111341232 123712480 139176540 185568720 222682464 278353080 371137440 556706160 1113412320