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1232133211001 = 711731372117583
BaseRepresentation
bin10001111011100000110…
…111001100001101111001
311100210100111000100201102
4101323200313030031321
5130141402100223001
62342011214501145
7155006260326650
oct21734067141571
94323314010642
101232133211001
114355aa092120
1217a966b047b5
138c2608c8324
14438c7dc6197
15220b5c3be6b
hex11ee0dcc379

1232133211001 has 64 divisors (see below), whose sum is σ = 1576217788416. Its totient is φ = 935461094400.

The previous prime is 1232133210961. The next prime is 1232133211013. The reversal of 1232133211001 is 1001123312321.

It is a happy number.

It is not a de Polignac number, because 1232133211001 - 210 = 1232133209977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1232133211051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162482456 + ... + 162490038.

It is an arithmetic number, because the mean of its divisors is an integer number (24628402944).

Almost surely, 21232133211001 is an apocalyptic number.

1232133211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1232133211001 is a deficient number, since it is larger than the sum of its proper divisors (344084577415).

1232133211001 is a wasteful number, since it uses less digits than its factorization.

1232133211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1232133211001 its reverse (1001123312321), we get a palindrome (2233256523322).

The spelling of 1232133211001 in words is "one trillion, two hundred thirty-two billion, one hundred thirty-three million, two hundred eleven thousand, one".

Divisors: 1 7 11 73 77 137 211 511 803 959 1477 1507 2321 5621 7583 10001 10549 15403 16247 28907 53081 70007 83413 107821 110011 169433 202349 317977 553559 583891 770077 1038871 1186031 1600013 2110211 2225839 3874913 6089149 7272097 11200091 11427581 14771477 17600143 23212321 42624043 75837583 79993067 116800949 123201001 162486247 219201781 530863081 817606643 834213413 1284810439 1534412467 2411219591 5839493891 8993673073 16001730013 16878537137 112012110091 176019030143 1232133211001