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103200321100 = 22526724163913
BaseRepresentation
bin110000000011100110…
…1111110111001001100
3100212101012121111110211
41200013031332321030
53142323240233400
6115224245012204
710312254153502
oct1400715767114
9325335544424
10103200321100
113a848988778
12180016b4064
139968861476
144dd00d0672
152a4019cdba
hex180737ee4c

103200321100 has 72 divisors (see below), whose sum is σ = 228233826128. Its totient is φ = 40494643200.

The previous prime is 103200321097. The next prime is 103200321101. The reversal of 103200321100 is 1123002301.

It is not an unprimeable number, because it can be changed into a prime (103200321101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1582744 + ... + 1646656.

Almost surely, 2103200321100 is an apocalyptic number.

103200321100 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 103200321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114116913064).

103200321100 is an abundant number, since it is smaller than the sum of its proper divisors (125033505028).

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

103200321100 is a wasteful number, since it uses less digits than its factorization.

103200321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64235 (or 64228 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103200321100 its reverse (1123002301), we get a palindrome (104323323401).

The spelling of 103200321100 in words is "one hundred three billion, two hundred million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 241 268 335 482 670 964 1205 1340 1675 2410 3350 4820 6025 6700 12050 16147 24100 32294 63913 64588 80735 127826 161470 255652 319565 322940 403675 639130 807350 1278260 1597825 1614700 3195650 4282171 6391300 8564342 15403033 17128684 21410855 30806066 42821710 61612132 77015165 85643420 107054275 154030330 214108550 308060660 385075825 428217100 770151650 1032003211 1540303300 2064006422 4128012844 5160016055 10320032110 20640064220 25800080275 51600160550 103200321100