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1123011340 = 22511192311681
BaseRepresentation
bin100001011101111…
…1100101100001100
32220021010212221121
41002323330230030
54244442330330
6303234010324
736554303353
oct10273745414
92807125847
101123011340
11526a02050
122741169a4
1314b879969
14a920c99a
15688ce17a
hex42efcb0c

1123011340 has 96 divisors (see below), whose sum is σ = 2826109440. Its totient is φ = 370022400.

The previous prime is 1123011319. The next prime is 1123011371. The reversal of 1123011340 is 431103211.

It is a super-2 number, since 2×11230113402 = 2522308939537191200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90300 + ... + 101980.

It is an arithmetic number, because the mean of its divisors is an integer number (29438640).

Almost surely, 21123011340 is an apocalyptic number.

1123011340 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 1123011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413054720).

1123011340 is an abundant number, since it is smaller than the sum of its proper divisors (1703098100).

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

1123011340 is a wasteful number, since it uses less digits than its factorization.

1123011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1123011340 is about 33511.3613570085. The cubic root of 1123011340 is about 1039.4287234816.

Adding to 1123011340 its reverse (431103211), we get a palindrome (1554114551).

The spelling of 1123011340 in words is "one billion, one hundred twenty-three million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 8740 9614 11681 19228 23362 24035 46724 48070 58405 96140 116810 128491 221939 233620 256982 268663 443878 513964 537326 642455 887756 1074652 1109695 1284910 1343315 2219390 2441329 2569820 2686630 2955293 4438780 4882658 5104597 5373260 5910586 9765316 10209194 11821172 12206645 14776465 20418388 24413290 25522985 29552930 48826580 51045970 56150567 59105860 102091940 112301134 224602268 280752835 561505670 1123011340