Search a number
-
+
20021200222120 = 2353496353225749
BaseRepresentation
bin1001000110101100011001…
…00001101111011110101000
32121220000012212102101010121
410203112030201233132220
510111011404224101440
6110325340140253024
74134325001650426
oct443261441573650
977800185371117
1020021200222120
116419a41634769
1222b42ab541174
13b22cb652cc76
144d3061ad0116
1524abe618334a
hex12358c86f7a8

20021200222120 has 64 divisors (see below), whose sum is σ = 45184088250000. Its totient is φ = 7984240816128.

The previous prime is 20021200222087. The next prime is 20021200222139. The reversal of 20021200222120 is 2122200212002.

It can be written as a sum of positive squares in 8 ways, for example, as 12890986521604 + 7130213700516 = 3590402^2 + 2670246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20021200222094 and 20021200222103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88575006 + ... + 88800754.

Almost surely, 220021200222120 is an apocalyptic number.

20021200222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021200222120 is an abundant number, since it is smaller than the sum of its proper divisors (25162888027880).

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

20021200222120 is a wasteful number, since it uses less digits than its factorization.

20021200222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232462 (or 232458 counting only the distinct ones).

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

Adding to 20021200222120 its reverse (2122200212002), we get a palindrome (22143400434122).

The spelling of 20021200222120 in words is "twenty trillion, twenty-one billion, two hundred million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6353 6980 12706 13960 25412 31765 50824 63530 127060 225749 254120 451498 902996 1128745 1805992 2217197 2257490 4434394 4514980 8868788 9029960 11085985 17737576 22171970 44343940 78786401 88687880 157572802 315145604 393932005 630291208 787864010 1434183397 1575728020 2868366794 3151456040 5736733588 7170916985 11473467176 14341833970 28683667940 57367335880 500530005553 1001060011106 2002120022212 2502650027765 4004240044424 5005300055530 10010600111060 20021200222120