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1010001202020 = 22325231123217241
BaseRepresentation
bin11101011001010001100…
…00110100101101100100
310120112222201110010110200
432230220300310231210
5113021440301431040
62051553234550500
7132653525365266
oct16545060645544
93515881403420
101010001202020
1135a380391008
121438b3438430
13743202b7165
1436c547ddb36
151b4147b0630
hexeb28c34b64

1010001202020 has 144 divisors (see below), whose sum is σ = 3199734824832. Its totient is φ = 257392903680.

The previous prime is 1010001201991. The next prime is 1010001202027. The reversal of 1010001202020 is 202021000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010001201993 and 1010001202011.

It is not an unprimeable number, because it can be changed into a prime (1010001202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4540600 + ... + 4757840.

It is an arithmetic number, because the mean of its divisors is an integer number (22220380728).

Almost surely, 21010001202020 is an apocalyptic number.

1010001202020 is a gapful number since it is divisible by the number (10) 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 1010001202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599867412416).

1010001202020 is an abundant number, since it is smaller than the sum of its proper divisors (2189733622812).

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

1010001202020 is a wasteful number, since it uses less digits than its factorization.

1010001202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218402 (or 218397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010001202020 its reverse (202021000101), we get a palindrome (1212022202121).

The spelling of 1010001202020 in words is "one trillion, ten billion, one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1123 1380 2070 2246 3369 4140 4492 5615 6738 10107 11230 13476 16845 20214 22460 25829 33690 40428 50535 51658 67380 77487 101070 103316 129145 154974 202140 217241 232461 258290 309948 387435 434482 464922 516580 651723 774870 868964 929844 1086205 1162305 1303446 1549740 1955169 2172410 2324610 2606892 3258615 3910338 4344820 4649220 4996543 6517230 7820676 9775845 9993086 13034460 14989629 19551690 19986172 24982715 29979258 39103380 44968887 49965430 59958516 74948145 89937774 99930860 149896290 179875548 224844435 243961643 299792580 449688870 487923286 731884929 899377740 975846572 1219808215 1463769858 2195654787 2439616430 2927539716 3659424645 4391309574 4879232860 5611117789 7318849290 8782619148 10978273935 11222235578 14637698580 16833353367 21956547870 22444471156 28055588945 33666706734 43913095740 50500060101 56111177890 67333413468 84166766835 101000120202 112222355780 168333533670 202000240404 252500300505 336667067340 505000601010 1010001202020