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2103332532 = 2237294718371
BaseRepresentation
bin111110101011110…
…0100111010110100
312102120210100210220
41331113210322310
513301423120112
6544413414340
7103060013550
oct17527447264
95376710726
102103332532
1198a304954
124a849a3b0
132769b6982
1415d4b6860
15c49c498c
hex7d5e4eb4

2103332532 has 96 divisors (see below), whose sum is σ = 5926072320. Its totient is φ = 567853440.

The previous prime is 2103332467. The next prime is 2103332537. The reversal of 2103332532 is 2352333012.

It is a super-3 number, since 3×21033325323 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103332537) 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, 105307 + ... + 123677.

It is an arithmetic number, because the mean of its divisors is an integer number (61729920).

Almost surely, 22103332532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103332532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963036160).

2103332532 is an abundant number, since it is smaller than the sum of its proper divisors (3822739788).

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

2103332532 is a wasteful number, since it uses less digits than its factorization.

2103332532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461 (or 18459 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2103332532 is about 45862.1034406404. The cubic root of 2103332532 is about 1281.2561992101.

Adding to 2103332532 its reverse (2352333012), we get a palindrome (4455665544).

The spelling of 2103332532 in words is "two billion, one hundred three million, three hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 987 1218 1316 1363 1974 2436 2726 3948 4089 5452 8178 9541 16356 18371 19082 28623 36742 38164 55113 57246 73484 110226 114492 128597 220452 257194 385791 514388 532759 771582 863437 1065518 1543164 1598277 1726874 2131036 2590311 3196554 3453748 3729313 5180622 6044059 6393108 7458626 10361244 11187939 12088118 14917252 18132177 22375878 24176236 25039673 36264354 44751756 50079346 72528708 75119019 100158692 150238038 175277711 300476076 350555422 525833133 701110844 1051666266 2103332532