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1130203322001 = 3213171015626009
BaseRepresentation
bin10000011100100101010…
…111100001011010010001
311000001020210221111110100
4100130211113201122101
5122004124022301001
62223112551323013
7144440330504625
oct20344527413221
94001223844410
101130203322001
113a6353346936
1216305a980469
138276831b740
143c9b891b185
151e5ec38d586
hex107255e1691

1130203322001 has 48 divisors (see below), whose sum is σ = 1879942493520. Its totient is φ = 648116121600.

The previous prime is 1130203321997. The next prime is 1130203322009. The reversal of 1130203322001 is 1002233020311.

1130203322001 is a `hidden beast` number, since 1 + 130 + 2 + 0 + 332 + 200 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15751505025 + 1114451816976 = 125505^2 + 1055676^2 .

It is not a de Polignac number, because 1130203322001 - 22 = 1130203321997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1130203322009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612116 + ... + 3013893.

It is an arithmetic number, because the mean of its divisors is an integer number (39165468615).

Almost surely, 21130203322001 is an apocalyptic number.

It is an amenable number.

1130203322001 is a deficient number, since it is larger than the sum of its proper divisors (749739171519).

1130203322001 is a wasteful number, since it uses less digits than its factorization.

1130203322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626146 (or 5626143 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1130203322001 its reverse (1002233020311), we get a palindrome (2132436342312).

The spelling of 1130203322001 in words is "one trillion, one hundred thirty billion, two hundred three million, three hundred twenty-two thousand, one".

Divisors: 1 3 9 13 17 39 51 101 117 153 221 303 663 909 1313 1717 1989 3939 5151 11817 15453 22321 66963 200889 5626009 16878027 50634081 73138117 95642153 219414351 286926459 568226909 658243053 860779377 1243347989 1704680727 3730043967 5114042181 7386949817 9659857453 11190131901 22160849451 28979572359 66482548353 86938717077 125578146889 376734440667 1130203322001