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2125101540 = 2235732511933
BaseRepresentation
bin111111010101010…
…0111100111100100
312111002202100021110
41332222213213210
513323011222130
6550512145020
7103443031212
oct17652474744
95432670243
102125101540
119a0623271
124b3838170
1327b369343
14162341cb2
15c6874ab0
hex7eaa79e4

2125101540 has 96 divisors (see below), whose sum is σ = 6058958976. Its totient is φ = 556416000.

The previous prime is 2125101523. The next prime is 2125101547. The reversal of 2125101540 is 451015212.

It is not an unprimeable number, because it can be changed into a prime (2125101547) 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, 1098414 + ... + 1100346.

It is an arithmetic number, because the mean of its divisors is an integer number (63114156).

Almost surely, 22125101540 is an apocalyptic number.

2125101540 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 2125101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029479488).

2125101540 is an abundant number, since it is smaller than the sum of its proper divisors (3933857436).

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

2125101540 is a wasteful number, since it uses less digits than its factorization.

2125101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2125101540 is about 46098.8236292424. The cubic root of 2125101540 is about 1285.6612724879.

Adding to 2125101540 its reverse (451015212), we get a palindrome (2576116752).

The spelling of 2125101540 in words is "two billion, one hundred twenty-five million, one hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 251 292 365 438 502 730 753 876 1004 1095 1255 1460 1506 1933 2190 2510 3012 3765 3866 4380 5020 5799 7530 7732 9665 11598 15060 18323 19330 23196 28995 36646 38660 54969 57990 73292 91615 109938 115980 141109 183230 219876 274845 282218 366460 423327 485183 549690 564436 705545 846654 970366 1099380 1411090 1455549 1693308 1940732 2116635 2425915 2822180 2911098 4233270 4851830 5822196 7277745 8466540 9703660 14555490 29110980 35418359 70836718 106255077 141673436 177091795 212510154 354183590 425020308 531275385 708367180 1062550770 2125101540