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100114230 = 235193747101
BaseRepresentation
bin1011111011110…
…01111100110110
320222101022220110
411331321330312
5201112123410
613533443450
72323646136
oct575717466
9228338813
10100114230
115156a337
1229640586
13179837b8
14d420ac6
158bc8720
hex5f79f36

100114230 has 128 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 23846400.

The previous prime is 100114219. The next prime is 100114247. The reversal of 100114230 is 32411001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 991180 + ... + 991280.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2100114230 is an apocalyptic number.

100114230 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 100114230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

100114230 is an abundant number, since it is smaller than the sum of its proper divisors (167794890).

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

100114230 is a wasteful number, since it uses less digits than its factorization.

100114230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

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

The square root of 100114230 is about 10005.7098698693. The cubic root of 100114230 is about 464.3355523395.

Adding to 100114230 its reverse (32411001), we get a palindrome (132525231).

It can be divided in two parts, 10011 and 4230, that added together give a palindrome (14241).

The spelling of 100114230 in words is "one hundred million, one hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 47 57 74 94 95 101 111 114 141 185 190 202 222 235 282 285 303 370 470 505 555 570 606 703 705 893 1010 1110 1406 1410 1515 1739 1786 1919 2109 2679 3030 3478 3515 3737 3838 4218 4465 4747 5217 5358 5757 7030 7474 8695 8930 9494 9595 10434 10545 11211 11514 13395 14241 17390 18685 19190 21090 22422 23735 26085 26790 28482 28785 33041 37370 47470 52170 56055 57570 66082 71003 71205 90193 99123 112110 142006 142410 165205 175639 180386 198246 213009 270579 330410 351278 355015 426018 450965 495615 526917 541158 710030 878195 901930 991230 1053834 1065045 1352895 1756390 2130090 2634585 2705790 3337141 5269170 6674282 10011423 16685705 20022846 33371410 50057115 100114230