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103303412400 = 24352307280411
BaseRepresentation
bin110000000110101011…
…1001111101010110000
3100212122101121002011010
41200031113033222300
53143031133144100
6115242410350520
710314645342306
oct1401527175260
9325571532133
10103303412400
113a8a10a07a1
121803012b440
139984018036
144ddda88276
152a49263750
hex180d5cfab0

103303412400 has 120 divisors (see below), whose sum is σ = 331994348224. Its totient is φ = 27457747200.

The previous prime is 103303412383. The next prime is 103303412437. The reversal of 103303412400 is 4214303301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228195 + ... + 508605.

Almost surely, 2103303412400 is an apocalyptic number.

103303412400 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 103303412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165997174112).

103303412400 is an abundant number, since it is smaller than the sum of its proper divisors (228690935824).

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

103303412400 is a wasteful number, since it uses less digits than its factorization.

103303412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280739 (or 280728 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103303412400 its reverse (4214303301), we get a palindrome (107517715701).

The spelling of 103303412400 in words is "one hundred three billion, three hundred three million, four hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 307 400 600 614 921 1200 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 7675 9210 12280 14736 15350 18420 23025 24560 30700 36840 46050 61400 73680 92100 122800 184200 280411 368400 560822 841233 1121644 1402055 1682466 2243288 2804110 3364932 4206165 4486576 5608220 6729864 7010275 8412330 11216440 13459728 14020550 16824660 21030825 22432880 28041100 33649320 42061650 56082200 67298640 84123300 86086177 112164400 168246600 172172354 258258531 336493200 344344708 430430885 516517062 688689416 860861770 1033034124 1291292655 1377378832 1721723540 2066068248 2152154425 2582585310 3443447080 4132136496 4304308850 5165170620 6456463275 6886894160 8608617700 10330341240 12912926550 17217235400 20660682480 25825853100 34434470800 51651706200 103303412400