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10400131042433 = 1131883112330757
BaseRepresentation
bin1001011101010111100000…
…0111011100110010000001
31100211020120000101021020122
42113111320013130302001
52330343432021324213
634041430525550025
72122245641160236
oct227257007346201
940736500337218
1010400131042433
11334a74192a550
1211bb746a15315
135a5960988962
1427d52488378d
151307e80c3d08
hex975781dcc81

10400131042433 has 32 divisors (see below), whose sum is σ = 11735670116352. Its totient is φ = 9130878187200.

The previous prime is 10400131042417. The next prime is 10400131042487. The reversal of 10400131042433 is 33424013100401.

It is a happy number.

It is not a de Polignac number, because 10400131042433 - 24 = 10400131042417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400131042493) 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, 338123291 + ... + 338154047.

It is an arithmetic number, because the mean of its divisors is an integer number (366739691136).

Almost surely, 210400131042433 is an apocalyptic number.

It is an amenable number.

10400131042433 is a deficient number, since it is larger than the sum of its proper divisors (1335539073919).

10400131042433 is a wasteful number, since it uses less digits than its factorization.

10400131042433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32805.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10400131042433 its reverse (33424013100401), we get a palindrome (43824144142834).

The spelling of 10400131042433 in words is "ten trillion, four hundred billion, one hundred thirty-one million, forty-two thousand, four hundred thirty-three".

Divisors: 1 11 31 341 883 1123 9713 12353 27373 30757 34813 301103 338327 382943 953467 991609 10488137 10907699 27158431 30739879 34540111 298742741 338138669 379941221 841911361 1070743441 9261024971 11778177851 30498918013 335488098143 945466458403 10400131042433