Search a number
-
+
11332131020001 = 32111726572534171
BaseRepresentation
bin1010010011100111011110…
…1001001101110011100001
31111010100012200202122022100
42210321313221031303201
52441131201020120001
640033524212001013
72246501525236101
oct244716751156341
944110180678270
1011332131020001
113679a255950a0
1213302ab900169
136427ccc76c1c
142b2699b65201
15149b94ad5586
hexa4e77a4dce1

11332131020001 has 48 divisors (see below), whose sum is σ = 18914208326208. Its totient is φ = 6461525299200.

The previous prime is 11332131019997. The next prime is 11332131020029. The reversal of 11332131020001 is 10002013123311.

11332131020001 is a `hidden beast` number, since 1 + 1 + 332 + 1 + 310 + 20 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 11332131020001 - 22 = 11332131019997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11332131020201) 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, 3204646 + ... + 5738816.

It is an arithmetic number, because the mean of its divisors is an integer number (394046006796).

Almost surely, 211332131020001 is an apocalyptic number.

11332131020001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11332131020001 is a deficient number, since it is larger than the sum of its proper divisors (7582077306207).

11332131020001 is a wasteful number, since it uses less digits than its factorization.

11332131020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536862 (or 2536859 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11332131020001 its reverse (10002013123311), we get a palindrome (21334144143312).

The spelling of 11332131020001 in words is "eleven trillion, three hundred thirty-two billion, one hundred thirty-one million, twenty thousand, one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 2657 7971 23913 29227 45169 87681 135507 263043 406521 496859 1490577 2534171 4471731 7602513 22807539 27875881 43080907 83627643 129242721 250882929 387728163 473889977 1421669931 4265009793 6733292347 20199877041 60599631123 74066215817 114465969899 222198647451 343397909697 666595942353 1030193729091 1259125668889 3777377006667 11332131020001