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11322132120 = 23325132419259
BaseRepresentation
bin10101000101101101…
…00000011010011000
31002020001120220102200
422202312200122120
5141141431211440
65111252330200
7550400351355
oct124266403230
932201526380
1011322132120
114890059492
12223b913960
1310b58a4180
147959a562c
15463ec0c30
hex2a2da0698

11322132120 has 96 divisors (see below), whose sum is σ = 39627478800. Its totient is φ = 2786985216.

The previous prime is 11322132119. The next prime is 11322132161. The reversal of 11322132120 is 2123122311.

11322132120 is a `hidden beast` number, since 1 + 1 + 322 + 1 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11322132093 and 11322132102.

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, 1204950 + ... + 1214309.

Almost surely, 211322132120 is an apocalyptic number.

11322132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322132120 is an abundant number, since it is smaller than the sum of its proper divisors (28305346680).

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

11322132120 is a wasteful number, since it uses less digits than its factorization.

11322132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419289 (or 2419282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11322132120 its reverse (2123122311), we get a palindrome (13445254431).

The spelling of 11322132120 in words is "eleven billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2419259 4838518 7257777 9677036 12096295 14515554 19354072 21773331 24192590 29031108 31450367 36288885 43546662 48385180 58062216 62900734 72577770 87093324 94351101 96770360 108866655 125801468 145155540 157251835 174186648 188702202 217733310 251602936 283053303 290311080 314503670 377404404 435466620 471755505 566106606 629007340 754808808 870933240 943511010 1132213212 1258014680 1415266515 1887022020 2264426424 2830533030 3774044040 5661066060 11322132120