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1111332144 = 243133173787
BaseRepresentation
bin100001000111101…
…1001010100110000
32212110011112002210
41002033121110300
54234000112034
6302135412120
736353111256
oct10217312460
92773145083
101111332144
1152035531a
12270224040
1314931a9b0
14a784c5d6
15678738e9
hex423d9530

1111332144 has 160 divisors (see below), whose sum is σ = 3239348224. Its totient is φ = 325969920.

The previous prime is 1111332137. The next prime is 1111332179. The reversal of 1111332144 is 4412331111.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1111332144.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1411719 + ... + 1412505.

Almost surely, 21111332144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619674112).

1111332144 is an abundant number, since it is smaller than the sum of its proper divisors (2128016080).

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

1111332144 is a wasteful number, since it uses less digits than its factorization.

1111332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1111332144 is about 33336.6486617956. The cubic root of 1111332144 is about 1035.8128441553.

Adding to 1111332144 its reverse (4412331111), we get a palindrome (5523663255).

The spelling of 1111332144 in words is "one billion, one hundred eleven million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 73 78 93 104 124 146 156 186 208 219 248 292 312 372 403 438 496 584 624 744 787 806 876 949 1168 1209 1488 1574 1612 1752 1898 2263 2361 2418 2847 3148 3224 3504 3796 4526 4722 4836 5694 6296 6448 6789 7592 9052 9444 9672 10231 11388 12592 13578 15184 18104 18888 19344 20462 22776 24397 27156 29419 30693 36208 37776 40924 45552 48794 54312 57451 58838 61386 73191 81848 88257 97588 108624 114902 117676 122772 146382 163696 172353 176514 195176 229804 235352 245544 292764 317161 344706 353028 390352 459608 470704 491088 585528 634322 689412 706056 746863 919216 951483 1171056 1268644 1378824 1412112 1493726 1780981 1902966 2240589 2537288 2757648 2987452 3561962 3805932 4481178 5074576 5342943 5974904 7123924 7611864 8962356 10685886 11949808 14247848 15223728 17924712 21371772 23152753 28495696 35849424 42743544 46305506 69458259 85487088 92611012 138916518 185222024 277833036 370444048 555666072 1111332144