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11151202140 = 223251341472473
BaseRepresentation
bin10100110001010100…
…11101011101011100
31001210010221202120200
422120222131131130
5140314201432030
65042304543500
7543223440261
oct123052353534
931703852520
1011151202140
114802621241
1221b2621b90
131089357780
1477adcd268
15453ea9d60
hex298a9d75c

11151202140 has 288 divisors, whose sum is σ = 38125092096. Its totient is φ = 2619924480.

The previous prime is 11151202109. The next prime is 11151202199. The reversal of 11151202140 is 4120215111.

11151202140 is a `hidden beast` number, since 1 + 11 + 512 + 0 + 2 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4507944 + ... + 4510416.

It is an arithmetic number, because the mean of its divisors is an integer number (132378792).

Almost surely, 211151202140 is an apocalyptic number.

11151202140 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 11151202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062546048).

11151202140 is an abundant number, since it is smaller than the sum of its proper divisors (26973889956).

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

11151202140 is a wasteful number, since it uses less digits than its factorization.

11151202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11151202140 its reverse (4120215111), we get a palindrome (15271417251).

It can be divided in two parts, 11 and 151202140, that added together give a palindrome (151202151).

The spelling of 11151202140 in words is "eleven billion, one hundred fifty-one million, two hundred two thousand, one hundred forty".