Search a number
-
+
1114303032 = 233219243997
BaseRepresentation
bin100001001101010…
…1110101000111000
32212122202110101200
41002122232220320
54240230144112
6302323214200
736420263613
oct10232565070
92778673350
101114303032
11521aa43a7
12271217360
13149b1b00b
14a7dc317a
1567c5dcdc
hex426aea38

1114303032 has 144 divisors (see below), whose sum is σ = 3262442040. Its totient is φ = 343357056.

The previous prime is 1114303031. The next prime is 1114303033. The reversal of 1114303032 is 2303034111.

It is an interprime number because it is at equal distance from previous prime (1114303031) and next prime (1114303033).

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 = 1114302996 and 1114303014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114303031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1117158 + ... + 1118154.

Almost surely, 21114303032 is an apocalyptic number.

1114303032 is a gapful number since it is divisible by the number (12) 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 1114303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631221020).

1114303032 is an abundant number, since it is smaller than the sum of its proper divisors (2148139008).

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

1114303032 is a wasteful number, since it uses less digits than its factorization.

1114303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1114303032 is about 33381.1778102571. The cubic root of 1114303032 is about 1036.7350244704.

Adding to 1114303032 its reverse (2303034111), we get a palindrome (3417337143).

The spelling of 1114303032 in words is "one billion, one hundred fourteen million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 43 57 72 76 86 114 129 152 171 172 228 258 342 344 361 387 456 516 684 722 774 817 997 1032 1083 1368 1444 1548 1634 1994 2166 2451 2888 2991 3096 3249 3268 3988 4332 4902 5982 6498 6536 7353 7976 8664 8973 9804 11964 12996 14706 15523 17946 18943 19608 23928 25992 29412 31046 35892 37886 42871 46569 56829 58824 62092 71784 75772 85742 93138 113658 124184 128613 139707 151544 170487 171484 186276 227316 257226 279414 340974 342968 359917 372552 385839 454632 514452 558828 681948 719834 771678 814549 1028904 1079751 1117656 1363896 1439668 1543356 1629098 2159502 2443647 2879336 3086712 3239253 3258196 4319004 4887294 6478506 6516392 7330941 8638008 9774588 12957012 14661882 15476431 19549176 25914024 29323764 30952862 46429293 58647528 61905724 92858586 123811448 139287879 185717172 278575758 371434344 557151516 1114303032