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100204444230 = 23511619490549
BaseRepresentation
bin101110101010010100…
…1100111101001000110
3100120122102100012000020
41131110221213221012
53120204314203410
6114011105000010
710145105502552
oct1352451475106
9316572305006
10100204444230
1139550884080
1217506323006
1395abc91867
144bc827c862
152917170a70
hex1754a67a46

100204444230 has 64 divisors (see below), whose sum is σ = 262777824000. Its totient is φ = 24252693120.

The previous prime is 100204444189. The next prime is 100204444243. The reversal of 100204444230 is 32444402001.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100204444230.

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 31 ways as a sum of consecutive naturals, for example, 41005 + ... + 449544.

It is an arithmetic number, because the mean of its divisors is an integer number (4105903500).

Almost surely, 2100204444230 is an apocalyptic number.

100204444230 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 100204444230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131388912000).

100204444230 is an abundant number, since it is smaller than the sum of its proper divisors (162573379770).

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

100204444230 is a wasteful number, since it uses less digits than its factorization.

100204444230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491189.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100204444230 its reverse (32444402001), we get a palindrome (132648846231).

The spelling of 100204444230 in words is "one hundred billion, two hundred four million, four hundred forty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 619 1238 1857 3095 3714 6190 6809 9285 13618 18570 20427 34045 40854 68090 102135 204270 490549 981098 1471647 2452745 2943294 4905490 5396039 7358235 10792078 14716470 16188117 26980195 32376234 53960390 80940585 161881170 303649831 607299662 910949493 1518249155 1821898986 3036498310 3340148141 4554747465 6680296282 9109494930 10020444423 16700740705 20040888846 33401481410 50102222115 100204444230