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100414324230 = 2351110111812551
BaseRepresentation
bin101110110000100101…
…0001111111000000110
3100121012001021012020120
41131201022033320012
53121122031333410
6114044003242410
710153234446603
oct1354112177006
9317161235216
10100414324230
11396492a5020
1217564679406
1396135c7bcc
144c080b36aa
15292a7cc570
hex176128fe06

100414324230 has 128 divisors (see below), whose sum is σ = 265834939392. Its totient is φ = 24072000000.

The previous prime is 100414324207. The next prime is 100414324259. The reversal of 100414324230 is 32423414001.

It is a self number, because there is not a number n which added to its sum of digits gives 100414324230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39361455 + ... + 39364005.

It is an arithmetic number, because the mean of its divisors is an integer number (2076835464).

Almost surely, 2100414324230 is an apocalyptic number.

100414324230 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 100414324230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132917469696).

100414324230 is an abundant number, since it is smaller than the sum of its proper divisors (165420615162).

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

100414324230 is a wasteful number, since it uses less digits than its factorization.

100414324230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100414324230 its reverse (32423414001), we get a palindrome (132837738231).

The spelling of 100414324230 in words is "one hundred billion, four hundred fourteen million, three hundred twenty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1181 1515 2222 2362 2551 3030 3333 3543 5102 5555 5905 6666 7086 7653 11110 11810 12755 12991 15306 16665 17715 25510 25982 28061 33330 35430 38265 38973 56122 64955 76530 77946 84183 119281 129910 140305 168366 194865 238562 257651 280610 357843 389730 420915 515302 596405 715686 772953 841830 1192810 1288255 1312091 1545906 1789215 2576510 2624182 2834161 3012731 3578430 3864765 3936273 5668322 6025462 6560455 7729530 7872546 8502483 9038193 13120910 14170805 15063655 17004966 18076386 19681365 28341610 30127310 33140041 39362730 42512415 45190965 66280082 85024830 90381930 99420123 165700205 198840246 304285831 331400410 497100615 608571662 912857493 994201230 1521429155 1825714986 3042858310 3347144141 4564287465 6694288282 9128574930 10041432423 16735720705 20082864846 33471441410 50207162115 100414324230