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20330221230020 = 22513292696315813
BaseRepresentation
bin1001001111101011111111…
…00111010101011111000100
32122222112212001222002022102
410213311333213111133010
510131042243113330040
6111123324045051232
74165544556121502
oct447657747253704
978875761862272
1020330221230020
116528aa8970799
122344171b56b18
13b46193285c70
14503db8d55672
15253c807bd515
hex127d7f9d57c4

20330221230020 has 48 divisors (see below), whose sum is σ = 47563010958960. Its totient is φ = 7247696902656.

The previous prime is 20330221230019. The next prime is 20330221230029. The reversal of 20330221230020 is 2003212203302.

It can be written as a sum of positive squares in 8 ways, for example, as 5450254438084 + 14879966791936 = 2334578^2 + 3857456^2 .

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 = 20330221229974 and 20330221230001.

It is not an unprimeable number, because it can be changed into a prime (20330221230029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348150367 + ... + 1348165446.

It is an arithmetic number, because the mean of its divisors is an integer number (990896061645).

Almost surely, 220330221230020 is an apocalyptic number.

20330221230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330221230020 is an abundant number, since it is smaller than the sum of its proper divisors (27232789728940).

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

20330221230020 is a wasteful number, since it uses less digits than its factorization.

20330221230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696315864 (or 2696315862 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20330221230020 its reverse (2003212203302), we get a palindrome (22333433433322).

The spelling of 20330221230020 in words is "twenty trillion, three hundred thirty billion, two hundred twenty-one million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 2696315813 5392631626 10785263252 13481579065 26963158130 35052105569 53926316260 70104211138 78193158577 140208422276 156386317154 175260527845 312772634308 350521055690 390965792885 701042111380 781931585770 1016511061501 1563863171540 2033022123002 4066044246004 5082555307505 10165110615010 20330221230020