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11332124331 = 3111519972281
BaseRepresentation
bin10101000110111001…
…00111111010101011
31002020202101120011120
422203130213322223
5141202010434311
65112250430323
7550551316233
oct124334477253
932222346146
1011332124331
114895763810
1222431323a3
1310b7992318
14797046cc3
15464ce6706
hex2a3727eab

11332124331 has 32 divisors (see below), whose sum is σ = 16616173056. Its totient is φ = 6812640000.

The previous prime is 11332124317. The next prime is 11332124371. The reversal of 11332124331 is 13342123311.

11332124331 is a nontrivial binomial coefficient, being equal to C(150547, 2).

It is not a de Polignac number, because 11332124331 - 211 = 11332122283 is a prime.

It is a super-2 number, since 2×113321243312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11332124371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966911 + ... + 4969191.

It is an arithmetic number, because the mean of its divisors is an integer number (519255408).

Almost surely, 211332124331 is an apocalyptic number.

11332124331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11332124331 is the 150546-th triangular number.

11332124331 is a deficient number, since it is larger than the sum of its proper divisors (5284048725).

11332124331 is a wasteful number, since it uses less digits than its factorization.

11332124331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443.

The product of its digits is 1296, while the sum is 24.

Adding to 11332124331 its reverse (13342123311), we get a palindrome (24674247642).

The spelling of 11332124331 in words is "eleven billion, three hundred thirty-two million, one hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 151 453 997 1661 2281 2991 4983 6843 10967 25091 32901 75273 150547 344431 451641 1033293 1656017 2274157 3788741 4968051 6822471 11366223 25015727 75047181 343397707 1030193121 3777374777 11332124331