Search a number
-
+
11131357510 = 2571326894549
BaseRepresentation
bin10100101110111101…
…10000100101000110
31001201202121112212101
422113132300211012
5140244111420020
65040315342314
7542562656230
oct122736604506
931652545771
1011131357510
1147a23a7719
1221a7a5199a
1310851c9ca0
14778505250
1545238a00a
hex2977b0946

11131357510 has 64 divisors (see below), whose sum is σ = 24674832000. Its totient is φ = 3520806912.

The previous prime is 11131357507. The next prime is 11131357571. The reversal of 11131357510 is 1575313111.

11131357510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2444716 + ... + 2449264.

It is an arithmetic number, because the mean of its divisors is an integer number (385544250).

Almost surely, 211131357510 is an apocalyptic number.

11131357510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131357510 is an abundant number, since it is smaller than the sum of its proper divisors (13543474490).

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

11131357510 is a wasteful number, since it uses less digits than its factorization.

11131357510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265.

The product of its (nonzero) digits is 1575, while the sum is 28.

The spelling of 11131357510 in words is "eleven billion, one hundred thirty-one million, three hundred fifty-seven thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2689 4549 5378 9098 13445 18823 22745 26890 31843 34957 37646 45490 59137 63686 69914 94115 118274 159215 174785 188230 244699 295685 318430 349570 413959 489398 591370 827918 1223495 2069795 2446990 4139590 12232261 24464522 61161305 85625827 122322610 159019393 171251654 318038786 428129135 795096965 856258270 1113135751 1590193930 2226271502 5565678755 11131357510