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11131461460 = 2257411939279
BaseRepresentation
bin10100101110111110…
…01001111101010100
31001201202210211110101
422113133021331110
5140244123231320
65040321503444
7542563601260
oct122737117524
931652724411
1011131461460
1147a2468829
1221a7aa1b84
1310852353b2
147785310a0
154523aac0a
hex2977c9f54

11131461460 has 48 divisors (see below), whose sum is σ = 27367119360. Its totient is φ = 3723413760.

The previous prime is 11131461457. The next prime is 11131461461. The reversal of 11131461460 is 6416413111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131461461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963900 + ... + 975379.

It is an arithmetic number, because the mean of its divisors is an integer number (570148320).

Almost surely, 211131461460 is an apocalyptic number.

11131461460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131461460 is an abundant number, since it is smaller than the sum of its proper divisors (16235657900).

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

11131461460 is a wasteful number, since it uses less digits than its factorization.

11131461460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939336 (or 1939334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 11131461460 its reverse (6416413111), we get a palindrome (17547874571).

The spelling of 11131461460 in words is "eleven billion, one hundred thirty-one million, four hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 1939279 3878558 7757116 9696395 13574953 19392790 27149906 38785580 54299812 67874765 79510439 135749530 159020878 271499060 318041756 397552195 556573073 795104390 1113146146 1590208780 2226292292 2782865365 5565730730 11131461460