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103320301200 = 24352709121439
BaseRepresentation
bin110000000111001011…
…1101010111010010000
3100212200120101010020020
41200032113222322100
53143044444114300
6115244212343440
710315242032634
oct1401627527220
9325616333206
10103320301200
113a8aa686586
1218035914b80
13998767c2cc
145002002dc4
152a4a99c8a0
hex180e5eae90

103320301200 has 120 divisors (see below), whose sum is σ = 331438905600. Its totient is φ = 27512993280.

The previous prime is 103320301199. The next prime is 103320301213. The reversal of 103320301200 is 2103023301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103320301200.

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, 790081 + ... + 911519.

It is an arithmetic number, because the mean of its divisors is an integer number (2761990880).

Almost surely, 2103320301200 is an apocalyptic number.

103320301200 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 103320301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165719452800).

103320301200 is an abundant number, since it is smaller than the sum of its proper divisors (228118604400).

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

103320301200 is a wasteful number, since it uses less digits than its factorization.

103320301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122169 (or 122158 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103320301200 its reverse (2103023301), we get a palindrome (105423324501).

The spelling of 103320301200 in words is "one hundred three billion, three hundred twenty million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 709 1200 1418 2127 2836 3545 4254 5672 7090 8508 10635 11344 14180 17016 17725 21270 28360 34032 35450 42540 53175 56720 70900 85080 106350 121439 141800 170160 212700 242878 283600 364317 425400 485756 607195 728634 850800 971512 1214390 1457268 1821585 1943024 2428780 2914536 3035975 3643170 4857560 5829072 6071950 7286340 9107925 9715120 12143900 14572680 18215850 24287800 29145360 36431700 48575600 72863400 86100251 145726800 172200502 258300753 344401004 430501255 516601506 688802008 861002510 1033203012 1291503765 1377604016 1722005020 2066406024 2152506275 2583007530 3444010040 4132812048 4305012550 5166015060 6457518825 6888020080 8610025100 10332030120 12915037650 17220050200 20664060240 25830075300 34440100400 51660150600 103320301200