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1233213020001 = 3217101293272369
BaseRepresentation
bin10001111100100001001…
…110010101011101100001
311100220010201212100012100
4101330201032111131201
5130201110013120001
62342310310521013
7155045111500104
oct21744116253541
94326121770170
101233213020001
11436003666656
1217b008666169
138c3a3529971
144398b58a73b
152212a935586
hex11f21395761

1233213020001 has 48 divisors (see below), whose sum is σ = 1911272585040. Its totient is φ = 763501977600.

The previous prime is 1233213019931. The next prime is 1233213020003. The reversal of 1233213020001 is 1000203123321.

1233213020001 is a `hidden beast` number, since 1 + 2 + 332 + 130 + 200 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 568908147600 + 664304872401 = 754260^2 + 815049^2 .

It is not a de Polignac number, because 1233213020001 - 210 = 1233213018977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1233213020003) 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, 4391545 + ... + 4663913.

It is an arithmetic number, because the mean of its divisors is an integer number (39818178855).

Almost surely, 21233213020001 is an apocalyptic number.

It is an amenable number.

1233213020001 is a deficient number, since it is larger than the sum of its proper divisors (678059565039).

1233213020001 is a wasteful number, since it uses less digits than its factorization.

1233213020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272786 (or 272783 counting only the distinct ones).

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

Adding to 1233213020001 its reverse (1000203123321), we get a palindrome (2233416143322).

The spelling of 1233213020001 in words is "one trillion, two hundred thirty-three billion, two hundred thirteen million, twenty thousand, one".

Divisors: 1 3 9 17 51 101 153 293 303 879 909 1717 2637 4981 5151 14943 15453 29593 44829 88779 266337 272369 503081 817107 1509243 2451321 4527729 4630273 13890819 27509269 41672457 79804117 82527807 239412351 247583421 467657573 718237053 1356669989 1402972719 4070009967 4208918157 8060215817 12210029901 24180647451 72541942353 137023668889 411071006667 1233213020001