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1110001312 = 257243101163
BaseRepresentation
bin100001000101001…
…0100011010100000
32212100122220112201
41002022110122200
54233130020222
6302051102544
736335566300
oct10212243240
92770586481
101110001312
1151a626462
1226b8a1a54
13148c73014
14a75c3600
15676ae427
hex422946a0

1110001312 has 144 divisors (see below), whose sum is σ = 2643090912. Its totient is φ = 457228800.

The previous prime is 1110001309. The next prime is 1110001339. The reversal of 1110001312 is 2131000111.

It is a super-3 number, since 3×11100013123 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6809743 + ... + 6809905.

It is an arithmetic number, because the mean of its divisors is an integer number (18354798).

Almost surely, 21110001312 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 1110001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321545456).

1110001312 is an abundant number, since it is smaller than the sum of its proper divisors (1533089600).

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

1110001312 is a wasteful number, since it uses less digits than its factorization.

1110001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1110001312 is about 33316.6821877569. The cubic root of 1110001312 is about 1035.3992133892.

Adding to 1110001312 its reverse (2131000111), we get a palindrome (3241001423).

The spelling of 1110001312 in words is "one billion, one hundred ten million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 101 112 163 172 196 202 224 301 326 344 392 404 602 652 688 707 784 808 1141 1204 1304 1376 1414 1568 1616 2107 2282 2408 2608 2828 3232 4214 4343 4564 4816 4949 5216 5656 7009 7987 8428 8686 9128 9632 9898 11312 14018 15974 16463 16856 17372 18256 19796 22624 28036 30401 31948 32926 33712 34744 36512 39592 49063 56072 60802 63896 65852 67424 69488 79184 98126 112144 115241 121604 127792 131704 138976 158368 196252 212807 224288 230482 243208 255584 263408 343441 392504 425614 460964 486416 526816 686882 707909 785008 806687 851228 921928 972832 1373764 1415818 1570016 1613374 1702456 1843856 2747528 2831636 3226748 3404912 3687712 4955363 5495056 5663272 6453496 6809824 9910726 10990112 11326544 12906992 19821452 22653088 25813984 34687541 39642904 69375082 79285808 138750164 158571616 277500328 555000656 1110001312