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121144431 = 31715115731
BaseRepresentation
bin1110011100010…
…00010001101111
322102221202220210
413032020101233
5222003110211
620004313503
73000465522
oct716102157
9272852823
10121144431
1162423671
12346a2893
131c137ac5
1412136bb9
15a97e9a6
hex738846f

121144431 has 16 divisors (see below), whose sum is σ = 172171008. Its totient is φ = 75504000.

The previous prime is 121144421. The next prime is 121144433. The reversal of 121144431 is 134441121.

It is not a de Polignac number, because 121144431 - 211 = 121142383 is a prime.

It is a super-3 number, since 3×1211444313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121144398 and 121144407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121144433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 15566.

It is an arithmetic number, because the mean of its divisors is an integer number (10760688).

Almost surely, 2121144431 is an apocalyptic number.

121144431 is a deficient number, since it is larger than the sum of its proper divisors (51026577).

121144431 is a wasteful number, since it uses less digits than its factorization.

121144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15902.

The product of its digits is 384, while the sum is 21.

The square root of 121144431 is about 11006.5630875401. The cubic root of 121144431 is about 494.8054617656.

Adding to 121144431 its reverse (134441121), we get a palindrome (255585552).

The spelling of 121144431 in words is "one hundred twenty-one million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 17 51 151 453 2567 7701 15731 47193 267427 802281 2375381 7126143 40381477 121144431