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1261236431 = 72134214703
BaseRepresentation
bin100101100101100…
…1111000011001111
310020220020110010102
41023023033003033
510040334031211
6325052401315
743153222100
oct11313170317
93226213112
101261236431
11597a31664
122b247623b
131713b5160
14bd7103a7
1575ad4a3b
hex4b2cf0cf

1261236431 has 24 divisors (see below), whose sum is σ = 1584100224. Its totient is φ = 995319360.

The previous prime is 1261236413. The next prime is 1261236437. The reversal of 1261236431 is 1346321621.

It is a de Polignac number, because none of the positive numbers 2k-1261236431 is a prime.

It is a super-2 number, since 2×12612364312 = 3181434669763235522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1261236394 and 1261236403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261236437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265826 + ... + 270528.

It is an arithmetic number, because the mean of its divisors is an integer number (66004176).

Almost surely, 21261236431 is an apocalyptic number.

1261236431 is a deficient number, since it is larger than the sum of its proper divisors (322863793).

1261236431 is a wasteful number, since it uses less digits than its factorization.

1261236431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5144 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 1261236431 is about 35513.8906767479. The cubic root of 1261236431 is about 1080.4354756764.

The spelling of 1261236431 in words is "one billion, two hundred sixty-one million, two hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 7 13 49 91 421 637 2947 4703 5473 20629 32921 38311 61139 230447 268177 427973 1979963 2995811 13859741 25739519 97018187 180176633 1261236431