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200212010220020 = 225292131811619249
BaseRepresentation
bin101101100001011101111101…
…101111111011100111110100
3222020220002012020021010122112
4231201131331233323213310
5202220233144104020040
61545452043332150152
760112561153412321
oct5541357557734764
9866802166233575
10200212010220020
1158880489286617
121a556519168358
138793bb08b0606
143762454c23b48
151822e91b02365
hexb6177dbfb9f4

200212010220020 has 48 divisors (see below), whose sum is σ = 434945641410000. Its totient is φ = 77322848655360.

The previous prime is 200212010220017. The next prime is 200212010220059. The reversal of 200212010220020 is 20022010212002.

It can be written as a sum of positive squares in 8 ways, for example, as 8704163879524 + 191507846340496 = 2950282^2 + 13838636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200212010219977 and 200212010220004.

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, 122835356 + ... + 124454604.

It is an arithmetic number, because the mean of its divisors is an integer number (9061367529375).

Almost surely, 2200212010220020 is an apocalyptic number.

200212010220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212010220020 is an abundant number, since it is smaller than the sum of its proper divisors (234733631189980).

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

200212010220020 is a wasteful number, since it uses less digits than its factorization.

200212010220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832468 (or 1832466 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200212010220020 its reverse (20022010212002), we get a palindrome (220234020432022).

The spelling of 200212010220020 in words is "two hundred trillion, two hundred twelve billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 213181 426362 852724 1065905 1619249 2131810 3238498 4263620 6182249 6476996 8096245 12364498 16192490 24728996 30911245 32384980 46958221 61822490 93916442 123644980 187832884 234791105 469582210 939164420 345193121069 690386242138 1380772484276 1725965605345 3451931210690 6903862421380 10010600511001 20021201022002 40042402044004 50053002555005 100106005110010 200212010220020