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1123011320 = 235411634201
BaseRepresentation
bin100001011101111…
…1100101011111000
32220021010212220212
41002323330223320
54244442330240
6303234010252
736554303324
oct10273745370
92807125825
101123011320
11526a02032
12274116988
1314b879952
14a920c984
15688ce165
hex42efcaf8

1123011320 has 64 divisors (see below), whose sum is σ = 2604903840. Its totient is φ = 435456000.

The previous prime is 1123011319. The next prime is 1123011371. The reversal of 1123011320 is 231103211.

It is a super-2 number, since 2×11230113202 = 2522308849696284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123011295 and 1123011304.

It is a congruent number.

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, 265220 + ... + 269420.

Almost surely, 21123011320 is an apocalyptic number.

1123011320 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 1123011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302451920).

1123011320 is an abundant number, since it is smaller than the sum of its proper divisors (1481892520).

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

1123011320 is a wasteful number, since it uses less digits than its factorization.

1123011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1123011320 is about 33511.3610586022. The cubic root of 1123011320 is about 1039.4287173111.

Adding to 1123011320 its reverse (231103211), we get a palindrome (1354114531).

The spelling of 1123011320 in words is "one billion, one hundred twenty-three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 163 164 205 326 328 410 652 815 820 1304 1630 1640 3260 4201 6520 6683 8402 13366 16804 21005 26732 33415 33608 42010 53464 66830 84020 133660 168040 172241 267320 344482 684763 688964 861205 1369526 1377928 1722410 2739052 3423815 3444820 5478104 6847630 6889640 13695260 27390520 28075283 56150566 112301132 140376415 224602264 280752830 561505660 1123011320