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201202122222020 = 2253110125127127873
BaseRepresentation
bin101101101111111000000101…
…000001011110100111000100
3222101101201211211200012212102
4231233320011001132213010
5202332443421242101040
61551530551240411232
760244242103520003
oct5557700501364704
9871351754605772
10201202122222020
1159122382736237
121a69639b776b18
13883638144535a
14379833dd40c3a
15183dae0231515
hexb6fe0505e9c4

201202122222020 has 96 divisors (see below), whose sum is σ = 440493611636736. Its totient is φ = 77109884928000.

The previous prime is 201202122222019. The next prime is 201202122222041. The reversal of 201202122222020 is 20222221202102.

201202122222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201202122221983 and 201202122222001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573388804 + ... + 1573516676.

It is an arithmetic number, because the mean of its divisors is an integer number (4588475121216).

Almost surely, 2201202122222020 is an apocalyptic number.

201202122222020 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 201202122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220246805818368).

201202122222020 is an abundant number, since it is smaller than the sum of its proper divisors (239291489414716).

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

201202122222020 is a wasteful number, since it uses less digits than its factorization.

201202122222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153141 (or 153139 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201202122222020 its reverse (20222221202102), we get a palindrome (221424343424122).

The spelling of 201202122222020 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 25127 31310 50254 62620 100508 125635 127873 251270 255746 502540 511492 639365 778937 1278730 1557874 2537827 2557460 3115748 3894685 3964063 5075654 7789370 7928126 10151308 12689135 12915173 15578740 15856252 19820315 25378270 25830346 39640630 50756540 51660692 64575865 78672637 79281260 129151730 157345274 258303460 314690548 393363185 400370363 786726370 800740726 1573452740 1601481452 2001851815 3213064871 4003703630 6426129742 8007407260 12852259484 16065324355 32130648710 64261297420 99605011001 199210022002 324519551971 398420044004 498025055005 649039103942 996050110010 1298078207884 1622597759855 1992100220020 3245195519710 6490391039420 10060106111101 20120212222202 40240424444404 50300530555505 100601061111010 201202122222020