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111134142330 = 235175327714843
BaseRepresentation
bin110011110000000011…
…1000110111101111010
3101121212010111101011120
41213200013012331322
53310100320023310
6123015422210110
711013002423601
oct1474007067572
9347763441146
10111134142330
114314a365022
1219656723936
13a631473143
145543a8ca38
152d56974b70
hex19e01c6f7a

111134142330 has 128 divisors (see below), whose sum is σ = 288798213888. Its totient is φ = 27265585152.

The previous prime is 111134142319. The next prime is 111134142337. The reversal of 111134142330 is 33241431111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111134142330.

It is not an unprimeable number, because it can be changed into a prime (111134142337) 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, 7479889 + ... + 7494731.

It is an arithmetic number, because the mean of its divisors is an integer number (2256236046).

Almost surely, 2111134142330 is an apocalyptic number.

111134142330 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 111134142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144399106944).

111134142330 is an abundant number, since it is smaller than the sum of its proper divisors (177664071558).

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

111134142330 is a wasteful number, since it uses less digits than its factorization.

111134142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15200.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 111134142330 its reverse (33241431111), we get a palindrome (144375573441).

The spelling of 111134142330 in words is "one hundred eleven billion, one hundred thirty-four million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 277 318 510 530 554 795 831 901 1385 1590 1662 1802 2703 2770 4155 4505 4709 5406 8310 9010 9418 13515 14127 14681 14843 23545 27030 28254 29362 29686 44043 44529 47090 70635 73405 74215 88086 89058 141270 146810 148430 220215 222645 249577 252331 440430 445290 499154 504662 748731 756993 786679 1247885 1261655 1497462 1513986 1573358 2360037 2495770 2523310 3743655 3784965 3933395 4111511 4720074 7487310 7569930 7866790 8223022 11800185 12334533 13373543 20557555 23600370 24669066 26747086 40120629 41115110 61672665 66867715 69895687 80241258 123345330 133735430 139791374 200603145 209687061 217910083 349478435 401206290 419374122 435820166 653730249 698956870 1048435305 1089550415 1307460498 2096870610 2179100830 3268651245 3704471411 6537302490 7408942822 11113414233 18522357055 22226828466 37044714110 55567071165 111134142330