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11250102040 = 235437878311
BaseRepresentation
bin10100111101000111…
…01110111100011000
31002001001001101201221
422132203232330120
5141020011231130
65100200421424
7545534201212
oct123643567430
932031041657
1011250102040
1148534311a1
12221b777874
1310a39a4618
1478a1b55b2
1545c9e387a
hex29e8eef18

11250102040 has 64 divisors (see below), whose sum is σ = 25937429760. Its totient is φ = 4389275520.

The previous prime is 11250102029. The next prime is 11250102041. The reversal of 11250102040 is 4020105211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250102041) 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 15 ways as a sum of consecutive naturals, for example, 1349485 + ... + 1357795.

It is an arithmetic number, because the mean of its divisors is an integer number (405272340).

Almost surely, 211250102040 is an apocalyptic number.

11250102040 is a gapful number since it is divisible by the number (10) 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 11250102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968714880).

11250102040 is an abundant number, since it is smaller than the sum of its proper divisors (14687327720).

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

11250102040 is a wasteful number, since it uses less digits than its factorization.

11250102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 11250102040 its reverse (4020105211), we get a palindrome (15270207251).

The spelling of 11250102040 in words is "eleven billion, two hundred fifty million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 787 860 1574 1720 3148 3935 6296 7870 8311 15740 16622 31480 33244 33841 41555 66488 67682 83110 135364 166220 169205 270728 332440 338410 357373 676820 714746 1353640 1429492 1786865 2858984 3573730 6540757 7147460 13081514 14294920 26163028 32703785 52326056 65407570 130815140 261630280 281252551 562505102 1125010204 1406262755 2250020408 2812525510 5625051020 11250102040