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2101533564 = 2231333140699
BaseRepresentation
bin111110101000010…
…1101101101111100
312102110101222002110
41331100231231330
513300443033224
6544311054020
7103035512004
oct17520555574
95373358073
102101533564
119892962a9
124a7971310
13276506bb0
1415d169004
15c476b929
hex7d42db7c

2101533564 has 48 divisors (see below), whose sum is σ = 5296860800. Its totient is φ = 644656320.

The previous prime is 2101533547. The next prime is 2101533601. The reversal of 2101533564 is 4653351012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31287 + ... + 71985.

Almost surely, 22101533564 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 2101533564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648430400).

2101533564 is an abundant number, since it is smaller than the sum of its proper divisors (3195327236).

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

2101533564 is a wasteful number, since it uses less digits than its factorization.

2101533564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41050 (or 41048 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2101533564 is about 45842.4864508896. The cubic root of 2101533564 is about 1280.8908113771.

Adding to 2101533564 its reverse (4653351012), we get a palindrome (6754884576).

The spelling of 2101533564 in words is "two billion, one hundred one million, five hundred thirty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 331 662 993 1324 1986 3972 4303 8606 12909 17212 25818 40699 51636 81398 122097 162796 244194 488388 529087 1058174 1587261 2116348 3174522 6349044 13471369 26942738 40414107 53885476 80828214 161656428 175127797 350255594 525383391 700511188 1050766782 2101533564