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1132123122 = 233134734313
BaseRepresentation
bin100001101111010…
…1101001111110010
32220220021210222000
41003132231033302
54304310414442
6304201154430
740024613334
oct10336551762
92826253860
101132123122
11531065949
1227718ba16
1315071a150
14aa501454
15695cdd4c
hex437ad3f2

1132123122 has 64 divisors (see below), whose sum is σ = 2767080960. Its totient is φ = 340924032.

The previous prime is 1132123103. The next prime is 1132123129. The reversal of 1132123122 is 2213212311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1132123095 and 1132123104.

It is not an unprimeable number, because it can be changed into a prime (1132123129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15838 + ... + 50150.

It is an arithmetic number, because the mean of its divisors is an integer number (43235640).

Almost surely, 21132123122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383540480).

1132123122 is an abundant number, since it is smaller than the sum of its proper divisors (1634957838).

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

1132123122 is a wasteful number, since it uses less digits than its factorization.

1132123122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34384 (or 34378 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1132123122 is about 33647.0373435760. The cubic root of 1132123122 is about 1042.2323602584.

Adding to 1132123122 its reverse (2213212311), we get a palindrome (3345335433).

It can be divided in two parts, 11321 and 23122, that added together give a palindrome (34443).

The spelling of 1132123122 in words is "one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1833 2538 3666 5499 10998 16497 32994 34313 68626 102939 205878 308817 446069 617634 892138 926451 1338207 1612711 1852902 2676414 3225422 4014621 4838133 8029242 9676266 12043863 14514399 20965243 24087726 29028798 41930486 43543197 62895729 87086394 125791458 188687187 377374374 566061561 1132123122