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103003121200 = 24527137268517
BaseRepresentation
bin101111111101101110…
…1101110011000110000
3100211212110112201001211
41133323131232120300
53141422244334300
6115152522205504
710304341040620
oct1377335563060
9324773481054
10103003121200
113a757638551
1217b67653894
139936a47835
144db1c3a880
152a2cbe84ba
hex17fb76e630

103003121200 has 120 divisors (see below), whose sum is σ = 284882560992. Its totient is φ = 35057448960.

The previous prime is 103003121191. The next prime is 103003121257. The reversal of 103003121200 is 2121300301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249342 + ... + 517858.

Almost surely, 2103003121200 is an apocalyptic number.

103003121200 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 103003121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142441280496).

103003121200 is an abundant number, since it is smaller than the sum of its proper divisors (181879439792).

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

103003121200 is a wasteful number, since it uses less digits than its factorization.

103003121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268679 (or 268668 counting only the distinct ones).

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

Adding to 103003121200 its reverse (2121300301), we get a palindrome (105124421501).

The spelling of 103003121200 in words is "one hundred three billion, three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 137 140 175 200 274 280 350 400 548 560 685 700 959 1096 1370 1400 1918 2192 2740 2800 3425 3836 4795 5480 6850 7672 9590 10960 13700 15344 19180 23975 27400 38360 47950 54800 76720 95900 191800 268517 383600 537034 1074068 1342585 1879619 2148136 2685170 3759238 4296272 5370340 6712925 7518476 9398095 10740680 13425850 15036952 18796190 21481360 26851700 30073904 36786829 37592380 46990475 53703400 73573658 75184760 93980950 107406800 147147316 150369520 183934145 187961900 257507803 294294632 367868290 375923800 515015606 588589264 735736580 751847600 919670725 1030031212 1287539015 1471473160 1839341450 2060062424 2575078030 2942946320 3678682900 4120124848 5150156060 6437695075 7357365800 10300312120 12875390150 14714731600 20600624240 25750780300 51501560600 103003121200