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1131220125 = 32537220521
BaseRepresentation
bin100001101101101…
…0000110010011101
32220211120221021200
41003123100302131
54304043021000
6304125550113
740014132600
oct10333206235
92824527250
101131220125
115305a9472
12276a15339
13150492129
14aa348337
15694a1500
hex436d0c9d

1131220125 has 72 divisors (see below), whose sum is σ = 2372261112. Its totient is φ = 517104000.

The previous prime is 1131220093. The next prime is 1131220127. The reversal of 1131220125 is 5210221311.

It can be written as a sum of positive squares in 4 ways, for example, as 21930489 + 1109289636 = 4683^2 + 33306^2 .

It is not a de Polignac number, because 1131220125 - 25 = 1131220093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1131220098 and 1131220107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131220127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44865 + ... + 65385.

It is an arithmetic number, because the mean of its divisors is an integer number (32948071).

Almost surely, 21131220125 is an apocalyptic number.

1131220125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131220125 is an abundant number, since it is smaller than the sum of its proper divisors (1241040987).

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

1131220125 is a wasteful number, since it uses less digits than its factorization.

1131220125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 20536 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1131220125 is about 33633.6159964997. The cubic root of 1131220125 is about 1041.9551869229.

Adding to 1131220125 its reverse (5210221311), we get a palindrome (6341441436).

The spelling of 1131220125 in words is "one billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 735 875 1125 1225 1575 2205 2625 3675 6125 7875 11025 18375 20521 55125 61563 102605 143647 184689 307815 430941 513025 718235 923445 1005529 1292823 1539075 2154705 2565125 3016587 3591175 4617225 5027645 6464115 7695375 9049761 10773525 15082935 17955875 23086125 25138225 32320575 45248805 53867625 75414675 125691125 161602875 226244025 377073375 1131220125