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11102001120 = 2532571101389
BaseRepresentation
bin10100101011011101…
…10001011111100000
31001122201101002110200
422111232301133200
5140214103013440
65033350225200
7542055311130
oct122556613740
931581332420
1011102001120
114787876841
12219a055200
13107c0bbc42
14774662ac0
1544e9dbc30
hex295bb17e0

11102001120 has 144 divisors (see below), whose sum is σ = 43297843680. Its totient is φ = 2537597952.

The previous prime is 11102001101. The next prime is 11102001143. The reversal of 11102001120 is 2110020111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540615 + ... + 560774.

It is an arithmetic number, because the mean of its divisors is an integer number (300679470).

Almost surely, 211102001120 is an apocalyptic number.

11102001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102001120 is an abundant number, since it is smaller than the sum of its proper divisors (32195842560).

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

11102001120 is a wasteful number, since it uses less digits than its factorization.

11102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101417 (or 1101406 counting only the distinct ones).

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

Adding to 11102001120 its reverse (2110020111), we get a palindrome (13212021231).

The spelling of 11102001120 in words is "eleven billion, one hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 1101389 2202778 3304167 4405556 5506945 6608334 7709723 8811112 9912501 11013890 13216668 15419446 16520835 17622224 19825002 22027780 23129169 26433336 30838892 33041670 35244448 38548615 39650004 44055560 46258338 49562505 52866672 61677784 66083340 69387507 77097230 79300008 88111120 92516676 99125010 105733344 115645845 123355568 132166680 138775014 154194460 158600016 176222240 185033352 198250020 231291690 246711136 264333360 277550028 308388920 317200032 346937535 370066704 396500040 462583380 528666720 555100056 616777840 693875070 740133408 793000080 925166760 1110200112 1233555680 1387750140 1586000160 1850333520 2220400224 2775500280 3700667040 5551000560 11102001120