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1231321020 = 2235412711847
BaseRepresentation
bin100100101100100…
…0111011110111100
310011210221120220020
41021121013132330
510010204233040
6322103252140
742341025126
oct11131073674
93153846806
101231321020
11582059786
122a444a050
1316813c827
14b9764216
1573175cd0
hex496477bc

1231321020 has 96 divisors (see below), whose sum is σ = 3546740736. Its totient is φ = 318988800.

The previous prime is 1231321001. The next prime is 1231321043. The reversal of 1231321020 is 201231321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665737 + ... + 667583.

It is an arithmetic number, because the mean of its divisors is an integer number (36945216).

Almost surely, 21231321020 is an apocalyptic number.

1231321020 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 1231321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773370368).

1231321020 is an abundant number, since it is smaller than the sum of its proper divisors (2315419716).

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

1231321020 is a wasteful number, since it uses less digits than its factorization.

1231321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1231321020 is about 35090.1840975507. The cubic root of 1231321020 is about 1071.8247084270.

Adding to 1231321020 its reverse (201231321), we get a palindrome (1432552341).

It can be divided in two parts, 12313 and 21020, that added together give a palindrome (33333).

The spelling of 1231321020 in words is "one billion, two hundred thirty-one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 1847 2460 2710 3252 3694 4065 5420 5541 7388 8130 9235 11082 11111 16260 18470 22164 22222 27705 33333 36940 44444 55410 55555 66666 75727 110820 111110 133332 151454 166665 222220 227181 302908 333330 378635 454362 500537 666660 757270 908724 1001074 1135905 1501611 1514540 2002148 2271810 2502685 3003222 4543620 5005370 6006444 7508055 10010740 15016110 20522017 30032220 41044034 61566051 82088068 102610085 123132102 205220170 246264204 307830255 410440340 615660510 1231321020