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203404434124100 = 225211630129346631
BaseRepresentation
bin101110001111111011001001…
…000010101010110101000100
3222200012021101202001112202212
4232033323021002222311010
5203130034240113432400
62000334412415522552
760562325332024256
oct5617731102526504
9880167352045685
10203404434124100
11598a13773584a0
121a991185529458
138965c56c7a291
143832b8195bcd6
15187b039606335
hexb8fec90aad44

203404434124100 has 72 divisors (see below), whose sum is σ = 481590204545856. Its totient is φ = 73953507600000.

The previous prime is 203404434124039. The next prime is 203404434124121. The reversal of 203404434124100 is 1421434404302.

203404434124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7742216 + ... + 21604415.

Almost surely, 2203404434124100 is an apocalyptic number.

203404434124100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203404434124100 is an abundant number, since it is smaller than the sum of its proper divisors (278185770421756).

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

203404434124100 is a wasteful number, since it uses less digits than its factorization.

203404434124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29352957 (or 29352950 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 203404434124100 its reverse (1421434404302), we get a palindrome (204825868528402).

The spelling of 203404434124100 in words is "two hundred three trillion, four hundred four billion, four hundred thirty-four million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 6301 12602 25204 31505 63010 69311 126020 138622 157525 277244 315050 346555 630100 693110 1386220 1732775 3465550 6931100 29346631 58693262 117386524 146733155 293466310 322812941 586932620 645625882 733665775 1291251764 1467331550 1614064705 2934663100 3228129410 6456258820 8070323525 16140647050 32281294100 184913121931 369826243862 739652487724 924565609655 1849131219310 2034044341241 3698262438620 4068088682482 4622828048275 8136177364964 9245656096550 10170221706205 18491312193100 20340443412410 40680886824820 50851108531025 101702217062050 203404434124100