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1123001010 = 23459714293
BaseRepresentation
bin100001011101111…
…1010001010110010
32220021010100210000
41002323322022302
54244442013020
6303233450430
736554231265
oct10273721262
92807110700
101123001010
115269a530a
12274110a16
1314b875051
14a9208cdc
15688cb090
hex42efa2b2

1123001010 has 80 divisors (see below), whose sum is σ = 3050968536. Its totient is φ = 296358912.

The previous prime is 1123000999. The next prime is 1123001027. The reversal of 1123001010 is 101003211.

It can be written as a sum of positive squares in 4 ways, for example, as 486599481 + 636401529 = 22059^2 + 25227^2 .

It is a super-2 number, since 2×11230010102 = 2522262536922040200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1123000983 and 1123001001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71424 + ... + 85716.

Almost surely, 21123001010 is an apocalyptic number.

1123001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525484268).

1123001010 is an abundant number, since it is smaller than the sum of its proper divisors (1927967526).

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

1123001010 is a wasteful number, since it uses less digits than its factorization.

1123001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14409 (or 14400 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1123001010 is about 33511.2072298209. The cubic root of 1123001010 is about 1039.4255364162.

Adding to 1123001010 its reverse (101003211), we get a palindrome (1224004221).

The spelling of 1123001010 in words is "one billion, one hundred twenty-three million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 7857 8730 13095 14293 15714 26190 28586 39285 42879 71465 78570 85758 128637 142930 214395 257274 385911 428790 643185 771822 1157733 1286370 1386421 1929555 2315466 2772842 3859110 4159263 5788665 6932105 8318526 11577330 12477789 13864210 20796315 24955578 37433367 41592630 62388945 74866734 112300101 124777890 187166835 224600202 374333670 561500505 1123001010