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14303202100 = 22521199113121
BaseRepresentation
bin11010101001000100…
…11000101100110100
31100220210222221122221
431110202120230310
5213243104431400
610323143132124
71014306132445
oct152442305464
940823887587
1014303202100
11607a86a490
122932144044
13146c38b2c5
149998812cc
1558aa75c1a
hex354898b34

14303202100 has 72 divisors (see below), whose sum is σ = 33896330496. Its totient is φ = 5195520000.

The previous prime is 14303202091. The next prime is 14303202107. The reversal of 14303202100 is 120230341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14303202107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083540 + ... + 1096660.

It is an arithmetic number, because the mean of its divisors is an integer number (470782368).

Almost surely, 214303202100 is an apocalyptic number.

14303202100 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 14303202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16948165248).

14303202100 is an abundant number, since it is smaller than the sum of its proper divisors (19593128396).

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

14303202100 is a wasteful number, since it uses less digits than its factorization.

14303202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14137 (or 14130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14303202100 its reverse (120230341), we get a palindrome (14423432441).

The spelling of 14303202100 in words is "fourteen billion, three hundred three million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 991 1100 1982 3964 4955 9910 10901 13121 19820 21802 24775 26242 43604 49550 52484 54505 65605 99100 109010 131210 144331 218020 262420 272525 288662 328025 545050 577324 656050 721655 1090100 1312100 1443310 2886620 3608275 7216550 13002911 14433100 26005822 52011644 65014555 130029110 143032021 260058220 286064042 325072775 572128084 650145550 715160105 1300291100 1430320210 2860640420 3575800525 7151601050 14303202100