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331000131121 = 11831015776221
BaseRepresentation
bin1001101000100010010…
…01010010111000110001
31011122100222010212002121
410310101021102320301
520410342013143441
6412020453314241
732625330456352
oct4642111227061
91148328125077
10331000131121
11118415a43680
1254197335981
13252a047876a
141204032dd29
158923ee2dd1
hex4d11252e31

331000131121 has 32 divisors (see below), whose sum is σ = 369758825856. Its totient is φ = 293783040000.

The previous prime is 331000131101. The next prime is 331000131149. The reversal of 331000131121 is 121131000133.

It is a cyclic number.

It is not a de Polignac number, because 331000131121 - 211 = 331000129073 is a prime.

It is a super-2 number, since 2×3310001311212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331000131095 and 331000131104.

It is not an unprimeable number, because it can be changed into a prime (331000131101) 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, 53203791 + ... + 53210011.

It is an arithmetic number, because the mean of its divisors is an integer number (11554963308).

Almost surely, 2331000131121 is an apocalyptic number.

It is an amenable number.

331000131121 is a deficient number, since it is larger than the sum of its proper divisors (38758694735).

331000131121 is a wasteful number, since it uses less digits than its factorization.

331000131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 331000131121 its reverse (121131000133), we get a palindrome (452131131254).

The spelling of 331000131121 in words is "three hundred thirty-one billion, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 11 83 101 577 913 1111 6221 6347 8383 47891 58277 68431 92213 516343 526801 628321 641047 3589517 4836991 5679773 6911531 39484687 52150643 53206901 297929911 362541217 573657073 3277229021 3987953387 30090921011 331000131121