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1231020320 = 255171014481
BaseRepresentation
bin100100101011111…
…1110000100100000
310011210101022102012
41021113332010200
510010120122240
6322053012052
742335333345
oct11127760440
93153338365
101231020320
11581973872
122a4324028
131680659ba
14b96c67cc
1573116b65
hex495fe120

1231020320 has 96 divisors (see below), whose sum is σ = 3110543856. Its totient is φ = 458752000.

The previous prime is 1231020311. The next prime is 1231020353. The reversal of 1231020320 is 230201321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1147041424 + 83978896 = 33868^2 + 9164^2 .

It is a super-2 number, since 2×12310203202 = 3030822056505804800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1231020295 and 1231020304.

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, 272480 + ... + 276960.

Almost surely, 21231020320 is an apocalyptic number.

1231020320 is a gapful number since it is divisible by the number (10) 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 1231020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555271928).

1231020320 is an abundant number, since it is smaller than the sum of its proper divisors (1879523536).

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

1231020320 is a wasteful number, since it uses less digits than its factorization.

1231020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1231020320 is about 35085.8991619140. The cubic root of 1231020320 is about 1071.7374514826.

Adding to 1231020320 its reverse (230201321), we get a palindrome (1461221641).

The spelling of 1231020320 in words is "one billion, two hundred thirty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 101 136 160 170 202 272 340 404 505 544 680 808 1010 1360 1616 1717 2020 2720 3232 3434 4040 4481 6868 8080 8585 8962 13736 16160 17170 17924 22405 27472 34340 35848 44810 54944 68680 71696 76177 89620 137360 143392 152354 179240 274720 304708 358480 380885 452581 609416 716960 761770 905162 1218832 1523540 1810324 2262905 2437664 3047080 3620648 4525810 6094160 7241296 7693877 9051620 12188320 14482592 15387754 18103240 30775508 36206480 38469385 61551016 72412960 76938770 123102032 153877540 246204064 307755080 615510160 1231020320