Search a number
-
+
1121023230 = 235416167223
BaseRepresentation
bin100001011010001…
…0111010011111110
32220010101212202220
41002310113103332
54243440220410
6303123230210
736531353205
oct10264272376
92803355686
101121023230
11525874388
12273518366
1314b331a72
14a8c5223c
156863a070
hex42d174fe

1121023230 has 128 divisors (see below), whose sum is σ = 2855817216. Its totient is φ = 281318400.

The previous prime is 1121023171. The next prime is 1121023261. The reversal of 1121023230 is 323201211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5026899 + ... + 5027121.

It is an arithmetic number, because the mean of its divisors is an integer number (22311072).

Almost surely, 21121023230 is an apocalyptic number.

1121023230 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 1121023230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427908608).

1121023230 is an abundant number, since it is smaller than the sum of its proper divisors (1734793986).

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

1121023230 is a wasteful number, since it uses less digits than its factorization.

1121023230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1121023230 is about 33481.6849934408. The cubic root of 1121023230 is about 1038.8149809978.

Adding to 1121023230 its reverse (323201211), we get a palindrome (1444224441).

It can be divided in two parts, 1121023 and 230, that added together give a triangular number (1121253 = T1497).

The spelling of 1121023230 in words is "one billion, one hundred twenty-one million, twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 61 67 82 122 123 134 183 201 205 223 246 305 335 366 402 410 446 610 615 669 670 915 1005 1115 1230 1338 1830 2010 2230 2501 2747 3345 4087 5002 5494 6690 7503 8174 8241 9143 12261 12505 13603 13735 14941 15006 16482 18286 20435 24522 25010 27206 27429 27470 29882 37515 40809 40870 41205 44823 45715 54858 61305 68015 74705 75030 81618 82410 89646 91430 122610 136030 137145 149410 167567 204045 224115 274290 335134 408090 448230 502701 557723 612581 837835 911401 1005402 1115446 1225162 1673169 1675670 1822802 1837743 2513505 2734203 2788615 3062905 3346338 3675486 4557005 5027010 5468406 5577230 6125810 8365845 9114010 9188715 13671015 16731690 18377430 27342030 37367441 74734882 112102323 186837205 224204646 373674410 560511615 1121023230