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11131320120 = 2335234033087
BaseRepresentation
bin10100101110111101…
…00111011100111000
31001201202112122120120
422113132213130320
5140244104220440
65040314453240
7542562442224
oct122736473470
931652478516
1011131320120
1147a2381618
1221a7a34220
1310851b5c6b
147784d5784
1545237ddd0
hex2977a7738

11131320120 has 64 divisors (see below), whose sum is σ = 34845880320. Its totient is φ = 2839292544.

The previous prime is 11131320113. The next prime is 11131320121. The reversal of 11131320120 is 2102313111.

It is a happy number.

It is a super-2 number, since 2×111313201202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131320121) 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, 2013784 + ... + 2019303.

It is an arithmetic number, because the mean of its divisors is an integer number (544466880).

Almost surely, 211131320120 is an apocalyptic number.

11131320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131320120 is an abundant number, since it is smaller than the sum of its proper divisors (23714560200).

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

11131320120 is a wasteful number, since it uses less digits than its factorization.

11131320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033124 (or 4033120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131320120 its reverse (2102313111), we get a palindrome (13233633231).

The spelling of 11131320120 in words is "eleven billion, one hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4033087 8066174 12099261 16132348 20165435 24198522 32264696 40330870 48397044 60496305 80661740 92761001 96794088 120992610 161323480 185522002 241985220 278283003 371044004 463805005 483970440 556566006 742088008 927610010 1113132012 1391415015 1855220020 2226264024 2782830030 3710440040 5565660060 11131320120