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1132011131220 = 223256288950729
BaseRepresentation
bin10000011110010001000…
…111110001000101010100
311000012220210122201111100
4100132101013301011110
5122021324322144340
62224012211110100
7144533201565504
oct20362107610524
94005823581440
101132011131220
113a70a0854742
121634842a2330
1382995a14138
143cb0aa67a04
151e6a5e3a830
hex107911f1154

1132011131220 has 36 divisors (see below), whose sum is σ = 3433767098580. Its totient is φ = 301869634944.

The previous prime is 1132011131213. The next prime is 1132011131249. The reversal of 1132011131220 is 221311102311.

1132011131220 is a `hidden beast` number, since 1 + 1 + 320 + 1 + 11 + 312 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 789940553796 + 342070577424 = 888786^2 + 584868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1132011131193 and 1132011131202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3144475185 + ... + 3144475544.

It is an arithmetic number, because the mean of its divisors is an integer number (95382419405).

Almost surely, 21132011131220 is an apocalyptic number.

1132011131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132011131220 is an abundant number, since it is smaller than the sum of its proper divisors (2301755967360).

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

1132011131220 is a wasteful number, since it uses less digits than its factorization.

1132011131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288950744 (or 6288950739 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1132011131220 its reverse (221311102311), we get a palindrome (1353322233531).

It can be divided in two parts, 113201 and 1131220, that added together give a palindrome (1244421).

The spelling of 1132011131220 in words is "one trillion, one hundred thirty-two billion, eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6288950729 12577901458 18866852187 25155802916 31444753645 37733704374 56600556561 62889507290 75467408748 94334260935 113201113122 125779014580 188668521870 226402226244 283002782805 377337043740 566005565610 1132011131220