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11132311102220 = 22571156912704347
BaseRepresentation
bin1010000111111111000101…
…1100101110001100001100
31110102020102220100002011202
42201333301130232030030
52424342433120232340
635402040233405032
72226166022042120
oct241776134561414
943366386302152
1011132311102220
113602206442380
1212b9624569778
13629a0705a199
142a6b4195d580
1514489c383c15
hexa1ff172e30c

11132311102220 has 96 divisors (see below), whose sum is σ = 29197640747520. Its totient is φ = 3463712893440.

The previous prime is 11132311102193. The next prime is 11132311102243. The reversal of 11132311102220 is 2220111323111.

It is a super-2 number, since 2×111323111022202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11132311102192 and 11132311102201.

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, 5475914 + ... + 7228433.

It is an arithmetic number, because the mean of its divisors is an integer number (304142091120).

Almost surely, 211132311102220 is an apocalyptic number.

11132311102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132311102220 is an abundant number, since it is smaller than the sum of its proper divisors (18065329645300).

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

11132311102220 is a wasteful number, since it uses less digits than its factorization.

11132311102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12704943 (or 12704941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11132311102220 its reverse (2220111323111), we get a palindrome (13352422425331).

The spelling of 11132311102220 in words is "eleven trillion, one hundred thirty-two billion, three hundred eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 569 770 1138 1540 2276 2845 3983 5690 6259 7966 11380 12518 15932 19915 25036 31295 39830 43813 62590 79660 87626 125180 175252 219065 438130 876260 12704347 25408694 50817388 63521735 88930429 127043470 139747817 177860858 254086940 279495634 355721716 444652145 558991268 698739085 889304290 978234719 1397478170 1778608580 1956469438 2794956340 3912938876 4891173595 7228773443 9782347190 14457546886 19564694380 28915093772 36143867215 50601414101 72287734430 79516507873 101202828202 144575468860 159033015746 202405656404 253007070505 318066031492 397582539365 506014141010 556615555111 795165078730 1012028282020 1113231110222 1590330157460 2226462220444 2783077775555 5566155551110 11132311102220