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200002004100320 = 25519148131359769
BaseRepresentation
bin101101011110011010011000…
…011010001010010011100000
3222020011000010112200220101012
4231132122120122022103200
5202203313101022202240
61545211352520200052
760061445052014552
oct5536323032122340
9866130115626335
10200002004100320
11587aa412300604
121a52188a609028
13877a153540666
143756211c694d2
15181c79eeb1b65
hexb5e69868a4e0

200002004100320 has 96 divisors (see below), whose sum is σ = 475077617441280. Its totient is φ = 79565355970560.

The previous prime is 200002004100299. The next prime is 200002004100347. The reversal of 200002004100320 is 23001400200002.

It is a junction number, because it is equal to n+sod(n) for n = 200002004100295 and 200002004100304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146405396 + ... + 147765164.

It is an arithmetic number, because the mean of its divisors is an integer number (4948725181680).

Almost surely, 2200002004100320 is an apocalyptic number.

200002004100320 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 200002004100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237538808720640).

200002004100320 is an abundant number, since it is smaller than the sum of its proper divisors (275075613340960).

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

200002004100320 is a wasteful number, since it uses less digits than its factorization.

200002004100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364788 (or 1364780 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 200002004100320 its reverse (23001400200002), we get a palindrome (223003404300322).

The spelling of 200002004100320 in words is "two hundred trillion, two billion, four million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 4813 6112 7640 9626 15280 19252 24065 30560 38504 48130 77008 96260 154016 192520 385040 770080 919283 1359769 1838566 2719538 3677132 4596415 5439076 6798845 7354264 9192830 10878152 13597690 14708528 18385660 21756304 27195380 29417056 36771320 43512608 54390760 73542640 108781520 147085280 217563040 259715879 519431758 1038863516 1298579395 2077727032 2597158790 4155454064 5194317580 6544568197 8310908128 10388635160 13089136394 20777270320 26178272788 32722840985 41554540640 52356545576 65445681970 104713091152 130891363940 209426182304 261782727880 523565455760 1047130911520 1250012525627 2500025051254 5000050102508 6250062628135 10000100205016 12500125256270 20000200410032 25000250512540 40000400820064 50000501025080 100001002050160 200002004100320