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114200130 = 235113747199
BaseRepresentation
bin1101100111010…
…00111001000010
321221212222010110
412303220321002
5213213401010
615155412150
72554453662
oct663507102
9257788113
10114200130
1159510280
12322b4056
131a876055
141124a1a2
15a05c120
hex6ce8e42

114200130 has 128 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 26231040.

The previous prime is 114200081. The next prime is 114200147. The reversal of 114200130 is 31002411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573771 + ... + 573969.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2114200130 is an apocalyptic number.

114200130 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 114200130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

114200130 is an abundant number, since it is smaller than the sum of its proper divisors (200987070).

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

114200130 is a wasteful number, since it uses less digits than its factorization.

114200130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114200130 is about 10686.4460883869. The cubic root of 114200130 is about 485.1643330184.

Adding to 114200130 its reverse (31002411), we get a palindrome (145202541).

The spelling of 114200130 in words is "one hundred fourteen million, two hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 47 55 66 74 94 110 111 141 165 185 199 222 235 282 330 370 398 407 470 517 555 597 705 814 995 1034 1110 1194 1221 1410 1551 1739 1990 2035 2189 2442 2585 2985 3102 3478 4070 4378 5170 5217 5970 6105 6567 7363 7755 8695 9353 10434 10945 12210 13134 14726 15510 17390 18706 19129 21890 22089 26085 28059 32835 36815 38258 44178 46765 52170 56118 57387 65670 73630 80993 93530 95645 102883 110445 114774 140295 161986 191290 205766 220890 242979 280590 286935 308649 346061 404965 485958 514415 573870 617298 692122 809930 1028830 1038183 1214895 1543245 1730305 2076366 2429790 3086490 3460610 3806671 5190915 7613342 10381830 11420013 19033355 22840026 38066710 57100065 114200130