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11131110221000 = 2353711144559873
BaseRepresentation
bin1010000111111010100111…
…0111101110010011001000
31110102010100012122222211112
42201332221313232103020
52424333003204033000
635401321134345452
72226124200523520
oct241765167562310
943363305588745
1011131110221000
11360174a594560
1212b934a35b288
13629875317893
142a6a6a280680
1514482bc22235
hexa1fa9dee4c8

11131110221000 has 128 divisors (see below), whose sum is σ = 32473930095360. Its totient is φ = 3469436928000.

The previous prime is 11131110220931. The next prime is 11131110221081. The reversal of 11131110221000 is 12201113111.

It is a super-2 number, since 2×111311102210002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 72202937 + ... + 72356936.

It is an arithmetic number, because the mean of its divisors is an integer number (253702578870).

Almost surely, 211131110221000 is an apocalyptic number.

11131110221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131110221000 is an abundant number, since it is smaller than the sum of its proper divisors (21342819874360).

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

11131110221000 is a wasteful number, since it uses less digits than its factorization.

11131110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144559912 (or 144559898 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11131110221000 its reverse (12201113111), we get a palindrome (11143311334111).

The spelling of 11131110221000 in words is "eleven trillion, one hundred thirty-one billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 144559873 289119746 578239492 722799365 1011919111 1156478984 1445598730 1590158603 2023838222 2891197460 3180317206 3613996825 4047676444 5059595555 5782394920 6360634412 7227993650 7950793015 8095352888 10119191110 11131110221 12721268824 14455987300 15901586030 18069984125 20238382220 22262220442 25297977775 28911974600 31803172060 36139968250 39753965075 40476764440 44524440884 50595955550 55655551105 63606344120 72279936500 79507930150 89048881768 101191911100 111311102210 126489888875 144559873000 159015860300 198769825375 202383822200 222622204420 252979777750 278277755525 318031720600 397539650750 445244408840 505959555500 556555511050 795079301500 1011919111000 1113111022100 1391388777625 1590158603000 2226222044200 2782777555250 5565555110500 11131110221000