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13233031204041 = 32112912541367531
BaseRepresentation
bin1100000010010000111000…
…0111111100110011001001
31201212001202200211020101100
43000210032013330303021
53213302221442012131
644051100504012013
72534024564221665
oct300441607746311
951761680736340
1013233031204041
114242108148430
121598797461009
1374cb3c35ac2c
1433a6a6d5b8a5
1517e34c8de7e6
hexc090e1fccc9

13233031204041 has 48 divisors (see below), whose sum is σ = 21572864089920. Its totient is φ = 7742828016000.

The previous prime is 13233031203989. The next prime is 13233031204123. The reversal of 13233031204041 is 14040213033231.

It is a happy number.

13233031204041 is a `hidden beast` number, since 1 + 3 + 233 + 0 + 3 + 1 + 20 + 404 + 1 = 666.

It is not a de Polignac number, because 13233031204041 - 229 = 13232494333129 is a prime.

It is a super-2 number, since 2×132330312040412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13233031203996 and 13233031204014.

It is not an unprimeable number, because it can be changed into a prime (13233031204541) 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, 35821446 + ... + 36188976.

It is an arithmetic number, because the mean of its divisors is an integer number (449434668540).

Almost surely, 213233031204041 is an apocalyptic number.

13233031204041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13233031204041 is a deficient number, since it is larger than the sum of its proper divisors (8339832885879).

13233031204041 is a wasteful number, since it uses less digits than its factorization.

13233031204041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380118 (or 380115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13233031204041 its reverse (14040213033231), we get a palindrome (27273244237272).

The spelling of 13233031204041 in words is "thirteen trillion, two hundred thirty-three billion, thirty-one million, two hundred four thousand, forty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 12541 37623 112869 137951 363689 367531 413853 1091067 1102593 1241559 3273201 3307779 4000579 4042841 10658399 12001737 12128523 31975197 36005211 36385569 95925591 117242389 351727167 1055181501 4609206271 13827618813 41482856439 50701268981 133666981859 152103806943 401000945577 456311420829 1203002836731 1470336800449 4411010401347 13233031204041