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2020101616 = 241323592081
BaseRepresentation
bin111100001101000…
…0100110111110000
312012210011210110101
41320122010313300
513114121222431
6532241442144
7101026403041
oct17032046760
95183153411
102020101616
11947327275
12484640354
13262694b00
1415240c8c8
15bc533961
hex78684df0

2020101616 has 60 divisors (see below), whose sum is σ = 4252026960. Its totient is φ = 929310720.

The previous prime is 2020101553. The next prime is 2020101659. The reversal of 2020101616 is 6161010202.

It is a super-2 number, since 2×20201016162 = 8161621077931622912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2020101593 and 2020101602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969696 + ... + 971776.

It is an arithmetic number, because the mean of its divisors is an integer number (70867116).

Almost surely, 22020101616 is an apocalyptic number.

2020101616 is a gapful number since it is divisible by the number (26) 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 2020101616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126013480).

2020101616 is an abundant number, since it is smaller than the sum of its proper divisors (2231925344).

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

2020101616 is a wasteful number, since it uses less digits than its factorization.

2020101616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2020101616 is about 44945.5405574346. The cubic root of 2020101616 is about 1264.1280614523.

Adding to 2020101616 its reverse (6161010202), we get a palindrome (8181111818).

The spelling of 2020101616 in words is "two billion, twenty million, one hundred one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 359 676 718 1352 1436 2081 2704 2872 4162 4667 5744 8324 9334 16648 18668 27053 33296 37336 54106 60671 74672 108212 121342 216424 242684 351689 432848 485368 703378 747079 970736 1406756 1494158 2813512 2988316 5627024 5976632 9712027 11953264 19424054 38848108 77696216 126256351 155392432 252512702 505025404 1010050808 2020101616