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1023132234141 = 32439973265091
BaseRepresentation
bin11101110001101110110…
…11101111000110011101
310121210212211210200012200
432320313123233012131
5113230333322443031
62102004230322113
7133630112332623
oct16706733570635
93553784720180
101023132234141
113649a9522876
12146358ab9339
1375633876354
143773c717513
151b9324968e6
hexee376ef19d

1023132234141 has 24 divisors (see below), whose sum is σ = 1512383791776. Its totient is φ = 666156324960.

The previous prime is 1023132234101. The next prime is 1023132234149. The reversal of 1023132234141 is 1414322313201.

1023132234141 is a `hidden beast` number, since 1 + 0 + 2 + 313 + 2 + 2 + 341 + 4 + 1 = 666.

It is not a de Polignac number, because 1023132234141 - 26 = 1023132234077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023132234149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727006 + ... + 3992096.

It is an arithmetic number, because the mean of its divisors is an integer number (63015991324).

Almost surely, 21023132234141 is an apocalyptic number.

It is an amenable number.

1023132234141 is a deficient number, since it is larger than the sum of its proper divisors (489251557635).

1023132234141 is a wasteful number, since it uses less digits than its factorization.

1023132234141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275113 (or 275110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1023132234141 its reverse (1414322313201), we get a palindrome (2437454547342).

The spelling of 1023132234141 in words is "one trillion, twenty-three billion, one hundred thirty-two million, two hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 43 129 387 9973 29919 89757 265091 428839 795273 1286517 2385819 3859551 11398913 34196739 102590217 2643752543 7931257629 23793772887 113681359349 341044078047 1023132234141