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204503414100 = 2235237152312097
BaseRepresentation
bin1011111001110101011…
…0100111010101010100
3201112212012020211021020
42332131112213111110
511322310333222400
6233540401521140
720526533224116
oct2763526472524
9645765224236
10204503414100
1179802933937
12337739431b0
131639131c94b
149c802393b6
1554bd9d92a0
hex2f9d5a7554

204503414100 has 144 divisors (see below), whose sum is σ = 608137618368. Its totient is φ = 53021122560.

The previous prime is 204503414083. The next prime is 204503414107. The reversal of 204503414100 is 1414305402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204503414107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16899252 + ... + 16911348.

Almost surely, 2204503414100 is an apocalyptic number.

204503414100 is a gapful number since it is divisible by the number (20) 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 204503414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304068809184).

204503414100 is an abundant number, since it is smaller than the sum of its proper divisors (403634204268).

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

204503414100 is a wasteful number, since it uses less digits than its factorization.

204503414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 204503414100 its reverse (1414305402), we get a palindrome (205917719502).

The spelling of 204503414100 in words is "two hundred four billion, five hundred three million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1523 1850 2220 2775 3046 3700 4569 5550 6092 7615 9138 11100 12097 15230 18276 22845 24194 30460 36291 38075 45690 48388 56351 60485 72582 76150 91380 112702 114225 120970 145164 152300 169053 181455 225404 228450 241940 281755 302425 338106 362910 447589 456900 563510 604850 676212 725820 845265 895178 907275 1127020 1209700 1342767 1408775 1690530 1790356 1814550 2237945 2685534 2817550 3381060 3629100 4226325 4475890 5371068 5635100 6713835 8452650 8951780 11189725 13427670 16905300 18423731 22379450 26855340 33569175 36847462 44758900 55271193 67138350 73694924 92118655 110542386 134276700 184237310 221084772 276355965 368474620 460593275 552711930 681678047 921186550 1105423860 1363356094 1381779825 1842373100 2045034141 2726712188 2763559650 3408390235 4090068282 5527119300 6816780470 8180136564 10225170705 13633560940 17041951175 20450341410 34083902350 40900682820 51125853525 68167804700 102251707050 204503414100