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20001012020 = 22511214955469
BaseRepresentation
bin10010101000001001…
…110011100100110100
31220121220102200110222
4102220021303210310
5311430224341040
613104403033512
71305433540253
oct225011634464
956556380428
1020001012020
118534060400
123a6236b898
131b69970472
14d7a4aa79a
157c0dbabb5
hex4a8273934

20001012020 has 72 divisors (see below), whose sum is σ = 46478313000. Its totient is φ = 7224152320.

The previous prime is 20001012019. The next prime is 20001012029. The reversal of 20001012020 is 2021010002.

It can be written as a sum of positive squares in 4 ways, for example, as 1402053136 + 18598958884 = 37444^2 + 136378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20001011989 and 20001012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001012029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332846 + ... + 388314.

It is an arithmetic number, because the mean of its divisors is an integer number (645532125).

Almost surely, 220001012020 is an apocalyptic number.

20001012020 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 20001012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23239156500).

20001012020 is an abundant number, since it is smaller than the sum of its proper divisors (26477300980).

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

20001012020 is a wasteful number, since it uses less digits than its factorization.

20001012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55649 (or 55636 counting only the distinct ones).

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

Adding to 20001012020 its reverse (2021010002), we get a palindrome (22022022022).

The spelling of 20001012020 in words is "twenty billion, one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 149 220 242 298 484 596 605 745 1210 1490 1639 2420 2980 3278 6556 8195 16390 18029 32780 36058 55469 72116 90145 110938 180290 221876 277345 360580 554690 610159 1109380 1220318 2440636 3050795 6101590 6711749 8264881 12203180 13423498 16529762 26846996 33059524 33558745 41324405 67117490 82648810 90913691 134234980 165297620 181827382 363654764 454568455 909136910 1000050601 1818273820 2000101202 4000202404 5000253005 10000506010 20001012020