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11014112140 = 22531711511657
BaseRepresentation
bin10100100000111111…
…00000001110001100
31001102120222212110021
422100133200032030
5140024103042030
65020530351524
7536640260053
oct122037401614
931376885407
1011014112140
1147421a7519
12217472b5a4
131066b28b25
14766b0539a
15446e2a97a
hex2907e038c

11014112140 has 96 divisors (see below), whose sum is σ = 24387084288. Its totient is φ = 4173120000.

The previous prime is 11014112113. The next prime is 11014112173. The reversal of 11014112140 is 4121141011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6646192 + ... + 6647848.

It is an arithmetic number, because the mean of its divisors is an integer number (254032128).

Almost surely, 211014112140 is an apocalyptic number.

11014112140 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 11014112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193542144).

11014112140 is an abundant number, since it is smaller than the sum of its proper divisors (13372972148).

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

11014112140 is a wasteful number, since it uses less digits than its factorization.

11014112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11014112140 its reverse (4121141011), we get a palindrome (15135253151).

The spelling of 11014112140 in words is "eleven billion, fourteen million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 151 155 284 302 310 355 604 620 710 755 1420 1510 1657 2201 3020 3314 4402 4681 6628 8285 8804 9362 10721 11005 16570 18724 21442 22010 23405 33140 42884 44020 46810 51367 53605 93620 102734 107210 117647 205468 214420 235294 250207 256835 332351 470588 500414 513670 588235 664702 1000828 1027340 1176470 1251035 1329404 1661755 2352940 2502070 3323510 3647057 5004140 6647020 7294114 7756417 14588228 15512834 17764697 18235285 31025668 35529394 36470570 38782085 71058788 72941140 77564170 88823485 155128340 177646970 355293940 550705607 1101411214 2202822428 2753528035 5507056070 11014112140