Search a number
-
+
1114101030 = 235722923167
BaseRepresentation
bin100001001100111…
…1101010100100110
32212122101012022010
41002121331110212
54240202213110
6302315015050
736415462650
oct10231752446
92778335263
101114101030
11521976659
1227113a486
13149a7a0a3
14a7d6d6d0
1567c1e020
hex4267d526

1114101030 has 64 divisors (see below), whose sum is σ = 3069296640. Its totient is φ = 253528704.

The previous prime is 1114100993. The next prime is 1114101047. The reversal of 1114101030 is 301014111.

It is a super-2 number, since 2×11141010302 = 2482442210094121800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1114100997 and 1114101015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36507 + ... + 59673.

It is an arithmetic number, because the mean of its divisors is an integer number (47957760).

Almost surely, 21114101030 is an apocalyptic number.

1114101030 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 1114101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534648320).

1114101030 is an abundant number, since it is smaller than the sum of its proper divisors (1955195610).

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

1114101030 is a wasteful number, since it uses less digits than its factorization.

1114101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23413.

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

The square root of 1114101030 is about 33378.1519859923. The cubic root of 1114101030 is about 1036.6723738871.

Adding to 1114101030 its reverse (301014111), we get a palindrome (1415115141).

The spelling of 1114101030 in words is "one billion, one hundred fourteen million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 458 687 1145 1374 1603 2290 3206 3435 4809 6870 8015 9618 16030 23167 24045 46334 48090 69501 115835 139002 162169 231670 324338 347505 486507 695010 810845 973014 1621690 2432535 4865070 5305243 10610486 15915729 26526215 31831458 37136701 53052430 74273402 79578645 111410103 159157290 185683505 222820206 371367010 557050515 1114101030