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1231332140 = 225232181643
BaseRepresentation
bin100100101100100…
…1010001100101100
310011210222011011002
41021121022030230
510010210112030
6322103415432
742341102423
oct11131121454
93153864132
101231332140
11582067075
122a4454578
131681448cc
14b97682ba
1573179245
hex4964a32c

1231332140 has 72 divisors (see below), whose sum is σ = 2722273008. Its totient is φ = 467786880.

The previous prime is 1231332119. The next prime is 1231332169. The reversal of 1231332140 is 412331321.

It is a super-3 number, since 3×12313321403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1914659 + ... + 1915301.

Almost surely, 21231332140 is an apocalyptic number.

1231332140 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 1231332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361136504).

1231332140 is an abundant number, since it is smaller than the sum of its proper divisors (1490940868).

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

1231332140 is a wasteful number, since it uses less digits than its factorization.

1231332140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1231332140 is about 35090.3425460624. The cubic root of 1231332140 is about 1071.8279349495.

Adding to 1231332140 its reverse (412331321), we get a palindrome (1643663461).

The spelling of 1231332140 in words is "one billion, two hundred thirty-one million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 362 460 529 643 724 905 1058 1286 1810 2116 2572 2645 3215 3620 4163 5290 6430 8326 10580 12860 14789 16652 20815 29578 41630 59156 73945 83260 95749 116383 147890 191498 232766 295780 340147 382996 465532 478745 581915 680294 957490 1163830 1360588 1700735 1914980 2327660 2676809 3401470 5353618 6802940 10707236 13384045 26768090 53536180 61566607 123133214 246266428 307833035 615666070 1231332140