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11132311211220 = 22351911098805397
BaseRepresentation
bin1010000111111111000101…
…1101001000110011010100
31110102020102220112121200210
42201333301131020303110
52424342433132224340
635402040240005420
72226166023004653
oct241776135106324
943366386477623
1011132311211220
113602206507261
1212b9624600870
13629a07097994
142a6b4198b19a
1514489c3a6180
hexa1ff1748cd4

11132311211220 has 96 divisors (see below), whose sum is σ = 32840612380800. Its totient is φ = 2809837085184.

The previous prime is 11132311211129. The next prime is 11132311211233. The reversal of 11132311211220 is 2211211323111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3138439 + ... + 5666958.

It is an arithmetic number, because the mean of its divisors is an integer number (342089712300).

Almost surely, 211132311211220 is an apocalyptic number.

11132311211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132311211220 is an abundant number, since it is smaller than the sum of its proper divisors (21708301169580).

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

11132311211220 is a wasteful number, since it uses less digits than its factorization.

11132311211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806537 (or 8806535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11132311211220 its reverse (2211211323111), we get a palindrome (13343522534331).

The spelling of 11132311211220 in words is "eleven trillion, one hundred thirty-two billion, three hundred eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1109 1140 2218 3327 4436 5545 6654 11090 13308 16635 21071 22180 33270 42142 63213 66540 84284 105355 126426 210710 252852 316065 421420 632130 1264260 8805397 17610794 26416191 35221588 44026985 52832382 88053970 105664764 132080955 167302543 176107940 264161910 334605086 501907629 528323820 669210172 836512715 1003815258 1673025430 2007630516 2509538145 3346050860 5019076290 9765185273 10038152580 19530370546 29295555819 39060741092 48825926365 58591111638 97651852730 117182223276 146477779095 185538520187 195303705460 292955558190 371077040374 556615560561 585911116380 742154080748 927692600935 1113231121122 1855385201870 2226462242244 2783077802805 3710770403740 5566155605610 11132311211220