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114031111230 = 23358311294507
BaseRepresentation
bin110101000110011001…
…0001010110000111110
3101220100000122122102000
41222030302022300332
53332013431024410
6124215110243130
711144540311221
oct1521462126076
9356300578360
10114031111230
11443a66536a3
121a1249564a6
13a9a36c231a
14573a7155b8
152e75e65dc0
hex1a8cc8ac3e

114031111230 has 128 divisors (see below), whose sum is σ = 308087539200. Its totient is φ = 30008662272.

The previous prime is 114031111213. The next prime is 114031111231. The reversal of 114031111230 is 32111130411.

It is a happy number.

114031111230 is a `hidden beast` number, since 11 + 403 + 11 + 11 + 230 = 666.

It is a super-2 number, since 2×1140311112302 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031111231) 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, 25298637 + ... + 25303143.

It is an arithmetic number, because the mean of its divisors is an integer number (2406933900).

Almost surely, 2114031111230 is an apocalyptic number.

114031111230 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 114031111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154043769600).

114031111230 is an abundant number, since it is smaller than the sum of its proper divisors (194056427970).

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

114031111230 is a wasteful number, since it uses less digits than its factorization.

114031111230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 114031111230 its reverse (32111130411), we get a palindrome (146142241641).

The spelling of 114031111230 in words is "one hundred fourteen billion, thirty-one million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1129 1245 1494 2241 2258 2490 3387 3735 4482 4507 5645 6774 7470 9014 10161 11205 11290 13521 16935 20322 22410 22535 27042 30483 33870 40563 45070 50805 60966 67605 81126 93707 101610 121689 135210 152415 187414 202815 243378 281121 304830 374081 405630 468535 562242 608445 748162 843363 937070 1122243 1216890 1405605 1686726 1870405 2244486 2530089 2811210 3366729 3740810 4216815 5060178 5088403 5611215 6733458 8433630 10100187 10176806 11222430 12650445 15265209 16833645 20200374 25300890 25442015 30530418 33667290 45795627 50500935 50884030 76326045 91591254 101001870 137386881 152652090 228978135 274773762 422337449 457956270 686934405 844674898 1267012347 1373868810 2111687245 2534024694 3801037041 4223374490 6335061735 7602074082 11403111123 12670123470 19005185205 22806222246 38010370410 57015555615 114031111230