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204114331231100 = 225247661142346171
BaseRepresentation
bin101110011010010000010010…
…001101001110001101111100
3222202201010202200201001222022
4232122100102031032031330
5203223202122243343400
62002040455042335312
760664526256621203
oct5632202215161574
9882633680631868
10204114331231100
115a045446804064
121aa8688465a538
1389b7b8b9ba144
14385928748023a
15188e7374e4b85
hexb9a41234e37c

204114331231100 has 144 divisors (see below), whose sum is σ = 453364632139776. Its totient is φ = 79729901856000.

The previous prime is 204114331231087. The next prime is 204114331231103. The reversal of 204114331231100 is 1132133411402.

It is a self number, because there is not a number n which added to its sum of digits gives 204114331231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114331231103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4420811015 + ... + 4420857185.

Almost surely, 2204114331231100 is an apocalyptic number.

204114331231100 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 204114331231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226682316069888).

204114331231100 is an abundant number, since it is smaller than the sum of its proper divisors (249250300908676).

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

204114331231100 is a wasteful number, since it uses less digits than its factorization.

204114331231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48316 (or 48309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 204114331231100 its reverse (1132133411402), we get a palindrome (205246464642502).

The spelling of 204114331231100 in words is "two hundred four trillion, one hundred fourteen billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 661 940 1175 1322 1423 2350 2644 2846 3305 4700 5692 6610 7115 13220 14230 16525 28460 31067 33050 35575 46171 62134 66100 66881 71150 92342 124268 133762 142300 155335 184684 230855 267524 310670 334405 461710 621340 668810 776675 923420 940603 1154275 1337620 1553350 1672025 1881206 2170037 2308550 3106700 3344050 3762412 4340074 4617100 4703015 6688100 8680148 9406030 10850185 18812060 21700370 23515075 30519031 43400740 44208341 47030150 54250925 61038062 65701333 88416682 94060300 108501850 122076124 131402666 152595155 176833364 217003700 221041705 262805332 305190310 328506665 442083410 610380620 657013330 762975775 884166820 1105208525 1314026660 1434394457 1525951550 1642533325 2210417050 2868788914 3051903100 3087962651 3285066650 4420834100 5737577828 6175925302 6570133300 7171972285 12351850604 14343944570 15439813255 28687889140 30879626510 35859861425 43428581113 61759253020 71719722850 77199066275 86857162226 143439445700 154398132550 173714324452 217142905565 308796265100 434285811130 868571622260 1085714527825 2041143312311 2171429055650 4082286624622 4342858111300 8164573249244 10205716561555 20411433123110 40822866246220 51028582807775 102057165615550 204114331231100