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1132010131120 = 245111286375149
BaseRepresentation
bin10000011110010001000…
…011111100111010110000
311000012220201202220121121
4100132101003330322300
5122021324043143440
62224012133432024
7144533160231661
oct20362103747260
94005821686547
101132010131120
113a70a0231310
12163483a9b614
1382995753b6b
143cb0a887368
151e6a5cde34a
hex107910fceb0

1132010131120 has 40 divisors (see below), whose sum is σ = 2871189334800. Its totient is φ = 411640047360.

The previous prime is 1132010131067. The next prime is 1132010131121. The reversal of 1132010131120 is 211310102311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1132010131094 and 1132010131103.

It is not an unprimeable number, because it can be changed into a prime (1132010131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643186695 + ... + 643188454.

It is an arithmetic number, because the mean of its divisors is an integer number (71779733370).

Almost surely, 21132010131120 is an apocalyptic number.

1132010131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132010131120 is an abundant number, since it is smaller than the sum of its proper divisors (1739179203680).

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

1132010131120 is a wasteful number, since it uses less digits than its factorization.

1132010131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286375173 (or 1286375167 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1132010131120 its reverse (211310102311), we get a palindrome (1343320233431).

The spelling of 1132010131120 in words is "one trillion, one hundred thirty-two billion, ten million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1286375149 2572750298 5145500596 6431875745 10291001192 12863751490 14150126639 20582002384 25727502980 28300253278 51455005960 56600506556 70750633195 102910011920 113201013112 141501266390 226402026224 283002532780 566005065560 1132010131120