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11000131120230 = 23571911031266003
BaseRepresentation
bin1010000000010010101011…
…1010000110110001100110
31102221121021001101021110020
42200010222322012301212
52420211232031321410
635221220201540010
72213506334531130
oct240045272066146
942847231337406
1011000131120230
11356114727653a
121297a957a4606
1361a4006426a5
142a05a2b48050
15141212e59a70
hexa012ae86c66

11000131120230 has 128 divisors (see below), whose sum is σ = 30359287627776. Its totient is φ = 2498716387200.

The previous prime is 11000131120207. The next prime is 11000131120261. The reversal of 11000131120230 is 3202113100011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41220409 + ... + 41486411.

It is an arithmetic number, because the mean of its divisors is an integer number (237181934592).

Almost surely, 211000131120230 is an apocalyptic number.

11000131120230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000131120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179643813888).

11000131120230 is an abundant number, since it is smaller than the sum of its proper divisors (19359156507546).

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

11000131120230 is a wasteful number, since it uses less digits than its factorization.

11000131120230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267242.

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

Adding to 11000131120230 its reverse (3202113100011), we get a palindrome (14202244220241).

The spelling of 11000131120230 in words is "eleven trillion, one hundred thirty-one million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 191 210 382 573 955 1031 1146 1337 1910 2062 2674 2865 3093 4011 5155 5730 6186 6685 7217 8022 10310 13370 14434 15465 20055 21651 30930 36085 40110 43302 72170 108255 196921 216510 266003 393842 532006 590763 798009 984605 1181526 1330015 1378447 1596018 1862021 1969210 2660030 2756894 2953815 3724042 3990045 4135341 5586063 5907630 6892235 7980090 8270682 9310105 11172126 13784470 18620210 20676705 27930315 41353410 50806573 55860630 101613146 152419719 254032865 274249093 304839438 355646011 508065730 548498186 711292022 762098595 822747279 1066938033 1371245465 1524197190 1645494558 1778230055 1919743651 2133876066 2742490930 3556460110 3839487302 4113736395 5334690165 5759230953 8227472790 9598718255 10669380330 11518461906 19197436510 28796154765 52381576763 57592309530 104763153526 157144730289 261907883815 314289460578 366671037341 523815767630 733342074682 785723651445 1100013112023 1571447302890 1833355186705 2200026224046 3666710373410 5500065560115 11000131120230