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1121123312331 = 31137918200911
BaseRepresentation
bin10000010100001000001…
…010000010001011001011
310222011211000022012210220
4100110020022002023023
5121332030031443311
62215011551241123
7143666323630341
oct20241012021313
93864730265726
101121123312331
113a2513978210
12161345b191a3
138194c106859
143c396a39991
151e26a15a206
hex105082822cb

1121123312331 has 16 divisors (see below), whose sum is σ = 1674798463488. Its totient is φ = 661104655200.

The previous prime is 1121123312317. The next prime is 1121123312333. The reversal of 1121123312331 is 1332133211211.

It is not a de Polignac number, because 1121123312331 - 210 = 1121123311307 is a prime.

It is a super-2 number, since 2×11211233123312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121123312333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459099235 + ... + 459101676.

It is an arithmetic number, because the mean of its divisors is an integer number (104674903968).

Almost surely, 21121123312331 is an apocalyptic number.

1121123312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121123312331 is a deficient number, since it is larger than the sum of its proper divisors (553675151157).

1121123312331 is a wasteful number, since it uses less digits than its factorization.

1121123312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918200962.

The product of its digits is 648, while the sum is 24.

Adding to 1121123312331 its reverse (1332133211211), we get a palindrome (2453256523542).

The spelling of 1121123312331 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-three million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 918200911 2754602733 10100210021 30300630063 33973433707 101920301121 373707770777 1121123312331