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1130001312 = 253113728921
BaseRepresentation
bin100001101011010…
…0111001110100000
32220202022000101110
41003112213032200
54303240020222
6304043503320
740000565316
oct10326471640
92822260343
101130001312
1152a946790
12276527b40
1315015643b
14aa10c0b6
156931030c
hex435a73a0

1130001312 has 96 divisors (see below), whose sum is σ = 3323484864. Its totient is φ = 333158400.

The previous prime is 1130001263. The next prime is 1130001331. The reversal of 1130001312 is 2131000311.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 24612 + ... + 53532.

It is an arithmetic number, because the mean of its divisors is an integer number (34619634).

Almost surely, 21130001312 is an apocalyptic number.

1130001312 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 1130001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661742432).

1130001312 is an abundant number, since it is smaller than the sum of its proper divisors (2193483552).

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

1130001312 is a wasteful number, since it uses less digits than its factorization.

1130001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28982 (or 28974 counting only the distinct ones).

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

The square root of 1130001312 is about 33615.4921427606. The cubic root of 1130001312 is about 1041.5808404195.

Adding to 1130001312 its reverse (2131000311), we get a palindrome (3261001623).

The spelling of 1130001312 in words is "one billion, one hundred thirty million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 28921 39072 57842 86763 115684 173526 231368 318131 347052 462736 636262 694104 925472 954393 1070077 1272524 1388208 1908786 2140154 2545048 2776416 3210231 3817572 4280308 5090096 6420462 7635144 8560616 10180192 11770847 12840924 15270288 17121232 23541694 25681848 30540576 34242464 35312541 47083388 51363696 70625082 94166776 102727392 141250164 188333552 282500328 376667104 565000656 1130001312