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204320412211240 = 235132291042238381
BaseRepresentation
bin101110011101010000001101…
…100101110001100000101000
3222210102211200211102120000101
4232131100031211301200220
5203240041201011224430
62002315300201115144
761015443200221243
oct5635201545614050
9883384624376011
10204320412211240
115a114889086686
121aaba7b8788ab4
138a01441ab9600
14386523701025a
151894c9974adca
hexb9d40d971828

204320412211240 has 96 divisors (see below), whose sum is σ = 514969984546200. Its totient is φ = 72839955901440.

The previous prime is 204320412211199. The next prime is 204320412211303. The reversal of 204320412211240 is 42112214023402.

204320412211240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 18645832158724 + 185674580052516 = 4318082^2 + 13626246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204320412211199 and 204320412211208.

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, 520923151 + ... + 521315230.

Almost surely, 2204320412211240 is an apocalyptic number.

204320412211240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204320412211240 is an abundant number, since it is smaller than the sum of its proper divisors (310649572334960).

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

204320412211240 is a wasteful number, since it uses less digits than its factorization.

204320412211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042238447 (or 1042238430 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 204320412211240 its reverse (42112214023402), we get a palindrome (246432626234642).

The spelling of 204320412211240 in words is "two hundred four trillion, three hundred twenty billion, four hundred twelve million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 169 232 260 290 338 377 520 580 676 754 845 1160 1352 1508 1690 1885 3016 3380 3770 4901 6760 7540 9802 15080 19604 24505 39208 49010 98020 196040 1042238381 2084476762 4168953524 5211191905 8337907048 10422383810 13549098953 20844767620 27098197906 30224913049 41689535240 54196395812 60449826098 67745494765 108392791624 120899652196 135490989530 151124565245 176138286389 241799304392 270981979060 302249130490 352276572778 392923869637 541963958120 604498260980 704553145556 785847739274 880691431945 1208996521960 1409106291112 1571695478548 1761382863890 1964619348185 3143390957096 3522765727780 3929238696370 5108010305281 7045531455560 7858477392740 10216020610562 15716954785480 20432041221124 25540051526405 40864082442248 51080103052810 102160206105620 204320412211240