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2203120211232 = 253199071331699
BaseRepresentation
bin100000000011110100001…
…100101001010100100000
321210121122020100200121110
4200003310030221110200
5242043442233224412
64404033252023320
7315112241545563
oct40036414512440
97717566320543
102203120211232
1177a379a18956
122b6b90601b40
1312c9a4136b85
14788bb10a4da
153c49533dd3c
hex200f4329520

2203120211232 has 96 divisors (see below), whose sum is σ = 6094285344000. Its totient is φ = 694954591488.

The previous prime is 2203120211219. The next prime is 2203120211261. The reversal of 2203120211232 is 2321120213022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2203120211199 and 2203120211208.

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, 988519 + ... + 2320217.

It is an arithmetic number, because the mean of its divisors is an integer number (63482139000).

Almost surely, 22203120211232 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 2203120211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047142672000).

2203120211232 is an abundant number, since it is smaller than the sum of its proper divisors (3891165132768).

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

2203120211232 is a wasteful number, since it uses less digits than its factorization.

2203120211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332638 (or 1332630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2203120211232 its reverse (2321120213022), we get a palindrome (4524240424254).

The spelling of 2203120211232 in words is "two trillion, two hundred three billion, one hundred twenty million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 907 912 1814 1824 2721 3628 5442 7256 10884 14512 17233 21768 29024 34466 43536 51699 68932 87072 103398 137864 206796 275728 413592 551456 827184 1331699 1654368 2663398 3995097 5326796 7990194 10653592 15980388 21307184 25302281 31960776 42614368 50604562 63921552 75906843 101209124 127843104 151813686 202418248 303627372 404836496 607254744 809672992 1207850993 1214509488 2415701986 2429018976 3623552979 4831403972 7247105958 9662807944 14494211916 19325615888 22949168867 28988423832 38651231776 45898337734 57976847664 68847506601 91796675468 115953695328 137695013202 183593350936 275390026404 367186701872 550780052808 734373403744 1101560105616 2203120211232