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11201001120 = 2532537210229
BaseRepresentation
bin10100110111010000…
…11011011010100000
31001220121122210221100
422123220123122200
5140414424013440
65051244154400
7544366636641
oct123350333240
931817583840
1011201001120
114828744a21
122207238a00
13109677251a
147838736c8
15458545230
hex29ba1b6a0

11201001120 has 144 divisors (see below), whose sum is σ = 39256668360. Its totient is φ = 2906191872.

The previous prime is 11201001067. The next prime is 11201001137. The reversal of 11201001120 is 2110010211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8015979024 + 3185022096 = 89532^2 + 56436^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51835 + ... + 158394.

Almost surely, 211201001120 is an apocalyptic number.

11201001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201001120 is an abundant number, since it is smaller than the sum of its proper divisors (28055667240).

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

11201001120 is a wasteful number, since it uses less digits than its factorization.

11201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210287 (or 210276 counting only the distinct ones).

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

Adding to 11201001120 its reverse (2110010211), we get a palindrome (13311011331).

Subtracting from 11201001120 its reverse (2110010211), we obtain a palindrome (9090990909).

The spelling of 11201001120 in words is "eleven billion, two hundred one million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 210229 420458 630687 840916 1051145 1261374 1681832 1892061 2102290 2522748 3153435 3363664 3784122 4204580 5045496 6306870 6727328 7568244 7778473 8409160 9460305 10090992 12613740 15136488 15556946 16818320 18920610 20181984 23335419 25227480 30272976 31113892 33636640 37841220 38892365 46670838 50454960 60545952 62227784 70006257 75682440 77784730 93341676 100909920 116677095 124455568 140012514 151364880 155569460 186683352 233354190 248911136 280025028 302729760 311138920 350031285 373366704 466708380 560050056 622277840 700062570 746733408 933416760 1120100112 1244555680 1400125140 1866833520 2240200224 2800250280 3733667040 5600500560 11201001120