Search a number
-
+
20012222012020 = 22573131579128921
BaseRepresentation
bin1001000110011011101010…
…11000100101101001110100
32121212011001011100001020121
410203031311120211221310
510110340012313341040
6110321253214141324
74133556342301660
oct443156530455164
977764034301217
1020012222012020
116416154676617
1222b26047b1844
13b221b543ba04
144d284d54b8a0
1524a86cd5cc4a
hex123375625a74

20012222012020 has 96 divisors (see below), whose sum is σ = 48187498576896. Its totient is φ = 6838742476800.

The previous prime is 20012222012011. The next prime is 20012222012021. The reversal of 20012222012020 is 2021022221002.

It is a junction number, because it is equal to n+sod(n) for n = 20012222011985 and 20012222012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012222012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691947160 + ... + 691976080.

It is an arithmetic number, because the mean of its divisors is an integer number (501953110176).

Almost surely, 220012222012020 is an apocalyptic number.

20012222012020 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 20012222012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24093749288448).

20012222012020 is an abundant number, since it is smaller than the sum of its proper divisors (28175276564876).

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

20012222012020 is a wasteful number, since it uses less digits than its factorization.

20012222012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45041 (or 45039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20012222012020 its reverse (2021022221002), we get a palindrome (22033244233022).

The spelling of 20012222012020 in words is "twenty trillion, twelve billion, two hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 626 1252 1565 2191 3130 4382 6260 8764 10955 15791 21910 28921 31582 43820 57842 63164 78955 110537 115684 144605 157910 202447 221074 289210 315820 404894 442148 552685 578420 809788 1012235 1105370 2024470 2210740 4048940 4942583 9052273 9885166 18104546 19770332 24712915 34598081 36209092 45261365 49425830 63365911 69196162 90522730 98851660 126731822 138392324 172990405 181045460 253463644 316829555 345980810 456691511 633659110 691961620 913383022 1267318220 1826766044 2283457555 3196840577 4566915110 6393681154 9133830220 12787362308 15984202885 31968405770 63936811540 142944442943 285888885886 571777771772 714722214715 1000611100601 1429444429430 2001222201202 2858888858860 4002444402404 5003055503005 10006111006010 20012222012020