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10202012020020 = 2235359782960497
BaseRepresentation
bin1001010001110101011101…
…0011010110110100110100
31100010022011202111010220210
42110131113103112310310
52314122210034120040
633410423431425420
72102033240235012
oct224352723266464
940108152433823
1010202012020020
113283715901687
121189275225270
1359007926cb92
14273acc5178b2
1512a59ed51480
hex947574d6d34

10202012020020 has 96 divisors (see below), whose sum is σ = 28649336083200. Its totient is φ = 2712567076864.

The previous prime is 10202012020019. The next prime is 10202012020037. The reversal of 10202012020020 is 2002021020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202012019978 and 10202012020005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 168606412 + ... + 168666908.

It is an arithmetic number, because the mean of its divisors is an integer number (298430584200).

Almost surely, 210202012020020 is an apocalyptic number.

10202012020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202012020020 is an abundant number, since it is smaller than the sum of its proper divisors (18447324063180).

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

10202012020020 is a wasteful number, since it uses less digits than its factorization.

10202012020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68697 (or 68695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202012020020 its reverse (2002021020201), we get a palindrome (12204033040221).

The spelling of 10202012020020 in words is "ten trillion, two hundred two billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1436 1795 2154 3590 4308 5385 7180 7829 10770 15658 21540 23487 31316 39145 46974 60497 78290 93948 117435 120994 156580 181491 234870 241988 302485 362982 469740 604970 725964 907455 1209940 1814910 2810611 3629820 5621222 8431833 11242444 14053055 16863666 21718423 28106110 33727332 42159165 43436846 56212220 65155269 84318330 86873692 108592115 130310538 168636660 217184230 260621076 325776345 434368460 473631013 651552690 947262026 1303105380 1420893039 1894524052 2368155065 2841786078 4736310130 5683572156 7104465195 9472620260 14208930390 28417860780 170033533667 340067067334 510100601001 680134134668 850167668335 1020201202002 1700335336670 2040402404004 2550503005005 3400670673340 5101006010010 10202012020020