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11253151400 = 2352431130547
BaseRepresentation
bin10100111101011110…
…10111011010101000
31002001020210022200012
422132233113122220
5141021301321100
65100350031052
7545602131401
oct123657273250
932036708605
1011253151400
114855124227
1222207a8488
1310a450158a
1478a76a9a8
1545cde7135
hex29ebd76a8

11253151400 has 48 divisors (see below), whose sum is σ = 26224482240. Its totient is φ = 4490782400.

The previous prime is 11253151397. The next prime is 11253151409. The reversal of 11253151400 is 415135211.

It is not an unprimeable number, because it can be changed into a prime (11253151409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20927 + ... + 151473.

It is an arithmetic number, because the mean of its divisors is an integer number (546343380).

Almost surely, 211253151400 is an apocalyptic number.

11253151400 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 11253151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112241120).

11253151400 is an abundant number, since it is smaller than the sum of its proper divisors (14971330840).

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

11253151400 is a wasteful number, since it uses less digits than its factorization.

11253151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130994 (or 130985 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 11253151400 its reverse (415135211), we get a palindrome (11668286611).

The spelling of 11253151400 in words is "eleven billion, two hundred fifty-three million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 43100 86200 130547 261094 522188 652735 1044376 1305470 2610940 3263675 5221880 6527350 13054700 26109400 56265757 112531514 225063028 281328785 450126056 562657570 1125315140 1406643925 2250630280 2813287850 5626575700 11253151400