Search a number
-
+
1123331034 = 237194333251
BaseRepresentation
bin100001011110100…
…1010101111011010
32220021202010111010
41002331022233122
54300033043114
6303244514350
736560104410
oct10275125732
92807663433
101123331034
11527100261
1227424b9b6
1314b95c327
14a92932b0
1568943c59
hex42f4abda

1123331034 has 64 divisors (see below), whose sum is σ = 2709826560. Its totient is φ = 303264000.

The previous prime is 1123331029. The next prime is 1123331051. The reversal of 1123331034 is 4301333211.

It is a super-2 number, since 2×11233310342 = 2523745223895018312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1123331034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343909 + ... + 347159.

It is an arithmetic number, because the mean of its divisors is an integer number (42341040).

Almost surely, 21123331034 is an apocalyptic number.

1123331034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123331034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354913280).

1123331034 is an abundant number, since it is smaller than the sum of its proper divisors (1586495526).

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

1123331034 is a wasteful number, since it uses less digits than its factorization.

1123331034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1123331034 is about 33516.1309521251. The cubic root of 1123331034 is about 1039.5273474779.

Adding to 1123331034 its reverse (4301333211), we get a palindrome (5424664245).

The spelling of 1123331034 in words is "one billion, one hundred twenty-three million, three hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 433 798 866 1299 2598 3031 3251 6062 6502 8227 9093 9753 16454 18186 19506 22757 24681 45514 49362 57589 61769 68271 115178 123538 136542 172767 185307 345534 370614 432383 864766 1297149 1407683 2594298 2815366 4223049 8446098 9853781 19707562 26745977 29561343 53491954 59122686 80237931 160475862 187221839 374443678 561665517 1123331034