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1130000016 = 243411733319
BaseRepresentation
bin100001101011010…
…0110111010010000
32220202021221121110
41003112212322100
54303240000031
6304043453320
740000561455
oct10326467220
92822257543
101130000016
1152a945812
12276527240
13150155982
14aa10b82c
156930ec46
hex435a6e90

1130000016 has 80 divisors (see below), whose sum is σ = 3008557440. Its totient is φ = 365245440.

The previous prime is 1130000009. The next prime is 1130000029. The reversal of 1130000016 is 6100000311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1129999956 and 1130000010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338805 + ... + 342123.

It is an arithmetic number, because the mean of its divisors is an integer number (37606968).

Almost surely, 21130000016 is an apocalyptic number.

1130000016 is a gapful number since it is divisible by the number (16) 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 1130000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504278720).

1130000016 is an abundant number, since it is smaller than the sum of its proper divisors (1878557424).

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

1130000016 is a wasteful number, since it uses less digits than its factorization.

1130000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1130000016 is about 33615.4728659289. The cubic root of 1130000016 is about 1041.5804422226.

Adding to 1130000016 its reverse (6100000311), we get a palindrome (7230000327).

The spelling of 1130000016 in words is "one billion, one hundred thirty million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 173 246 328 346 492 519 656 692 984 1038 1384 1968 2076 2768 3319 4152 6638 7093 8304 9957 13276 14186 19914 21279 26552 28372 39828 42558 53104 56744 79656 85116 113488 136079 159312 170232 272158 340464 408237 544316 574187 816474 1088632 1148374 1632948 1722561 2177264 2296748 3265896 3445122 4593496 6531792 6890244 9186992 13780488 23541667 27560976 47083334 70625001 94166668 141250002 188333336 282500004 376666672 565000008 1130000016