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2032101240 = 2335131578297
BaseRepresentation
bin111100100011111…
…0110011101111000
312020121202102211220
41321013312131320
513130204214430
6533350552040
7101233401261
oct17107663570
95217672756
102032101240
11953082814
12488668620
13265006890
14153c53968
15bd604110
hex791f6778

2032101240 has 128 divisors (see below), whose sum is σ = 6607863360. Its totient is φ = 496963584.

The previous prime is 2032101233. The next prime is 2032101241. The reversal of 2032101240 is 421012302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032101241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240772 + ... + 249068.

Almost surely, 22032101240 is an apocalyptic number.

2032101240 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 2032101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303931680).

2032101240 is an abundant number, since it is smaller than the sum of its proper divisors (4575762120).

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

2032101240 is a wasteful number, since it uses less digits than its factorization.

2032101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2032101240 is about 45078.8336140145. The cubic root of 2032101240 is about 1266.6261412088.

Adding to 2032101240 its reverse (421012302), we get a palindrome (2453113542).

The spelling of 2032101240 in words is "two billion, thirty-two million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 520 628 780 785 942 1256 1560 1570 1884 2041 2355 3140 3768 4082 4710 6123 6280 8164 8297 9420 10205 12246 16328 16594 18840 20410 24492 24891 30615 33188 40820 41485 48984 49782 61230 66376 81640 82970 99564 107861 122460 124455 165940 199128 215722 244920 248910 323583 331880 431444 497820 539305 647166 862888 995640 1078610 1294332 1302629 1617915 2157220 2588664 2605258 3235830 3907887 4314440 5210516 6471660 6513145 7815774 10421032 12943320 13026290 15631548 16934177 19539435 26052580 31263096 33868354 39078870 50802531 52105160 67736708 78157740 84670885 101605062 135473416 156315480 169341770 203210124 254012655 338683540 406420248 508025310 677367080 1016050620 2032101240