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11120131000 = 2353114012521
BaseRepresentation
bin10100101101100111…
…11011101110111000
31001200222111011222201
422112303323232320
5140233223143000
65035234555544
7542365360666
oct122663735670
931628434881
1011120131000
11479702a010
1221a4138bb4
131082a99094
14776c21c36
154513bd96a
hex296cfbbb8

11120131000 has 128 divisors (see below), whose sum is σ = 28468739520. Its totient is φ = 4032000000.

The previous prime is 11120130991. The next prime is 11120131003. The reversal of 11120131000 is 13102111.

It is a super-2 number, since 2×111201310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120131003) 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, 4409740 + ... + 4412260.

Almost surely, 211120131000 is an apocalyptic number.

11120131000 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 11120131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234369760).

11120131000 is an abundant number, since it is smaller than the sum of its proper divisors (17348608520).

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

11120131000 is a wasteful number, since it uses less digits than its factorization.

11120131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11120131000 its reverse (13102111), we get a palindrome (11133233111).

The spelling of 11120131000 in words is "eleven billion, one hundred twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 401 440 500 550 802 1000 1100 1375 1604 2005 2200 2521 2750 3208 4010 4411 5042 5500 8020 8822 10025 10084 11000 12605 16040 17644 20050 20168 22055 25210 27731 35288 40100 44110 50125 50420 55462 63025 80200 88220 100250 100840 110275 110924 126050 138655 176440 200500 220550 221848 252100 277310 315125 401000 441100 504200 551375 554620 630250 693275 882200 1010921 1102750 1109240 1260500 1386550 2021842 2205500 2521000 2773100 3466375 4043684 4411000 5054605 5546200 6932750 8087368 10109210 11120131 13865500 20218420 22240262 25273025 27731000 40436840 44480524 50546050 55600655 88961048 101092100 111201310 126365125 202184200 222402620 252730250 278003275 444805240 505460500 556006550 1010921000 1112013100 1390016375 2224026200 2780032750 5560065500 11120131000