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11131300401342 = 2311435119766211
BaseRepresentation
bin1010000111111011010100…
…1101001101000010111110
31110102010211110112011012220
42201332311031031002332
52424333400400320332
635401352050510210
72226132000162252
oct241766515150276
943363743464186
1011131300401342
11360183797a8a0
1212b93a1b95366
136298a5844424
142a6a87628262
1514483d78bd2c
hexa1fb534d0be

11131300401342 has 64 divisors (see below), whose sum is σ = 24856162467840. Its totient is φ = 3294028735200.

The previous prime is 11131300401313. The next prime is 11131300401343. The reversal of 11131300401342 is 24310400313111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131300401343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14144617 + ... + 14910827.

It is an arithmetic number, because the mean of its divisors is an integer number (388377538560).

Almost surely, 211131300401342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131300401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428081233920).

11131300401342 is an abundant number, since it is smaller than the sum of its proper divisors (13724862066498).

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

11131300401342 is a wasteful number, since it uses less digits than its factorization.

11131300401342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771389.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11131300401342 its reverse (24310400313111), we get a palindrome (35441700714453).

The spelling of 11131300401342 in words is "eleven trillion, one hundred thirty-one billion, three hundred million, four hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 5119 10238 15357 30714 56309 112618 168927 220117 337854 440234 660351 766211 1320702 1532422 2298633 2421287 4597266 4842574 7263861 8428321 14527722 16856642 25284963 32947073 50569926 65894146 98841219 197682438 362417803 724835606 1087253409 2174506818 3922234109 7844468218 11766702327 23533404654 43144575199 86289150398 129433725597 168656066687 258867451194 337312133374 505968200061 1011936400122 1855216733557 3710433467114 5565650200671 11131300401342