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11012100120 = 2333571456627
BaseRepresentation
bin10100100000101111…
…10101000000011000
31001102110012122111000
422100113311000120
5140023044200440
65020415305000
7536614210110
oct122027650030
931373178430
1011012100120
11474105289a
122173b1b160
1310665a3098
14766740040
15446b7e730
hex2905f5018

11012100120 has 128 divisors (see below), whose sum is σ = 41950886400. Its totient is φ = 2517049728.

The previous prime is 11012100119. The next prime is 11012100137. The reversal of 11012100120 is 2100121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720754 + ... + 735873.

It is an arithmetic number, because the mean of its divisors is an integer number (327741300).

Almost surely, 211012100120 is an apocalyptic number.

11012100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012100120 is an abundant number, since it is smaller than the sum of its proper divisors (30938786280).

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

11012100120 is a wasteful number, since it uses less digits than its factorization.

11012100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456654 (or 1456644 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11012100120 its reverse (2100121011), we get a palindrome (13112221131).

The spelling of 11012100120 in words is "eleven billion, twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 1456627 2913254 4369881 5826508 7283135 8739762 10196389 11653016 13109643 14566270 17479524 20392778 21849405 26219286 29132540 30589167 34959048 39328929 40785556 43698810 50981945 52438572 58265080 61178334 65548215 78657858 81571112 87397620 91767501 101963890 104877144 122356668 131096430 152945835 157315716 174795240 183535002 196644645 203927780 244713336 262192860 275302503 305891670 314631432 367070004 393289290 407855560 458837505 524385720 550605006 611783340 734140008 786578580 917675010 1101210012 1223566680 1376512515 1573157160 1835350020 2202420024 2753025030 3670700040 5506050060 11012100120