Search a number
-
+
1120023030 = 235753103977
BaseRepresentation
bin100001011000010…
…0011000111110110
32220001112001202110
41002300203013312
54243211214110
6303045551450
736520016160
oct10260430766
92801461673
101120023030
11525250975
12273115586
1314b071729
14a8a71930
15684dda20
hex42c231f6

1120023030 has 128 divisors (see below), whose sum is σ = 3163650048. Its totient is φ = 248481792.

The previous prime is 1120023029. The next prime is 1120023031. The reversal of 1120023030 is 303200211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120023029) and next prime (1120023031).

It is a junction number, because it is equal to n+sod(n) for n = 1120022997 and 1120023015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120023031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145902 + ... + 1146878.

It is an arithmetic number, because the mean of its divisors is an integer number (24716016).

Almost surely, 21120023030 is an apocalyptic number.

1120023030 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 1120023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581825024).

1120023030 is an abundant number, since it is smaller than the sum of its proper divisors (2043627018).

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

1120023030 is a wasteful number, since it uses less digits than its factorization.

1120023030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1120023030 is about 33466.7451360302. The cubic root of 1120023030 is about 1038.5059383654.

Adding to 1120023030 its reverse (303200211), we get a palindrome (1423223241).

The spelling of 1120023030 in words is "one billion, one hundred twenty million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 103 105 106 159 206 210 265 309 318 371 515 530 618 721 742 795 977 1030 1113 1442 1545 1590 1855 1954 2163 2226 2931 3090 3605 3710 4326 4885 5459 5565 5862 6839 7210 9770 10815 10918 11130 13678 14655 16377 20517 21630 27295 29310 32754 34195 38213 41034 51781 54590 68390 76426 81885 100631 102585 103562 114639 155343 163770 191065 201262 205170 229278 258905 301893 310686 362467 382130 503155 517810 573195 603786 704417 724934 776715 1006310 1087401 1146390 1408834 1509465 1553430 1812335 2113251 2174802 3018930 3522085 3624670 4226502 5333443 5437005 7044170 10566255 10666886 10874010 16000329 21132510 26667215 32000658 37334101 53334430 74668202 80001645 112002303 160003290 186670505 224004606 373341010 560011515 1120023030