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100014343400 = 23526122693613
BaseRepresentation
bin101110100100101010…
…0011100010011101000
3100120011011122001200202
41131021110130103220
53114312132442100
6113540154251332
710140306614666
oct1351124342350
9316134561622
10100014343400
1139463542554
1217472726b48
13957b79226a
144baad15c36
15290561e7d5
hex174951c4e8

100014343400 has 96 divisors (see below), whose sum is σ = 236514977400. Its totient is φ = 39321676800.

The previous prime is 100014343393. The next prime is 100014343421. The reversal of 100014343400 is 4343410001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 43561533796 + 56452809604 = 208714^2 + 237598^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27679994 + ... + 27683606.

Almost surely, 2100014343400 is an apocalyptic number.

100014343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100014343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118257488700).

100014343400 is an abundant number, since it is smaller than the sum of its proper divisors (136500634000).

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

100014343400 is a wasteful number, since it uses less digits than its factorization.

100014343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100014343400 its reverse (4343410001), we get a palindrome (104357753401).

The spelling of 100014343400 in words is "one hundred billion, fourteen million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2269 2440 3050 3613 4538 6100 7226 9076 11345 12200 14452 18065 18152 22690 28904 36130 45380 56725 72260 90325 90760 113450 138409 144520 180650 220393 226900 276818 361300 440786 453800 553636 692045 722600 881572 1101965 1107272 1384090 1763144 2203930 2768180 3460225 4407860 5509825 5536360 6920450 8197897 8815720 11019650 13840900 16395794 22039300 27681800 32791588 40989485 44078600 65583176 81978970 163957940 204947425 327915880 409894850 500071717 819789700 1000143434 1639579400 2000286868 2500358585 4000573736 5000717170 10001434340 12501792925 20002868680 25003585850 50007171700 100014343400