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1101011340 = 2235111329871
BaseRepresentation
bin100000110100000…
…0001100110001100
32211201202011121210
41001220001212030
54223324330330
6301130254420
736166304412
oct10150014614
92751664553
101101011340
11515546130
12268887410
13147146100
14a63232b2
15669d58b0
hex41a0198c

1101011340 has 144 divisors (see below), whose sum is σ = 3642057216. Its totient is φ = 246355200.

The previous prime is 1101011299. The next prime is 1101011363. The reversal of 1101011340 is 431101011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106605 + ... + 116475.

It is an arithmetic number, because the mean of its divisors is an integer number (25292064).

Almost surely, 21101011340 is an apocalyptic number.

1101011340 is a gapful number since it is divisible by the number (10) 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 1101011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821028608).

1101011340 is an abundant number, since it is smaller than the sum of its proper divisors (2541045876).

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

1101011340 is a wasteful number, since it uses less digits than its factorization.

1101011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9905 counting only the distinct ones).

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

The square root of 1101011340 is about 33181.4909249117. The cubic root of 1101011340 is about 1032.5963779983.

Adding to 1101011340 its reverse (431101011), we get a palindrome (1532112351).

The spelling of 1101011340 in words is "one billion, one hundred one million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 5070 5577 7436 8580 9295 9871 10140 11154 18590 19742 22308 27885 29613 37180 39484 49355 55770 59226 98710 108581 111540 118452 128323 148065 197420 217162 256646 296130 325743 384969 434324 513292 542905 592260 641615 651486 769938 1085810 1283230 1302972 1411553 1539876 1628715 1668199 1924845 2171620 2566460 2823106 3257430 3336398 3849690 4234659 5004597 5646212 6514860 6672796 7057765 7699380 8340995 8469318 10009194 14115530 16681990 16938636 18350189 20018388 21173295 25022985 28231060 33363980 36700378 42346590 50045970 55050567 73400756 84693180 91750945 100091940 110101134 183501890 220202268 275252835 367003780 550505670 1101011340