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1012126431 = 32382717737
BaseRepresentation
bin111100010100111…
…101001011011111
32121112111100110010
4330110331023133
54033101021211
6244233214303
734036634631
oct7424751337
92545440403
101012126431
1147a356628
12242b61393
131318c48a4
14985c6a51
155dcc94a6
hex3c53d2df

1012126431 has 16 divisors (see below), whose sum is σ = 1409958144. Its totient is φ = 644597184.

The previous prime is 1012126417. The next prime is 1012126439. The reversal of 1012126431 is 1346212101.

It is not a de Polignac number, because 1012126431 - 217 = 1011995359 is a prime.

It is a super-2 number, since 2×10121264312 = 2048799824657595522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012126398 and 1012126407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012126439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48195 + ... + 65931.

It is an arithmetic number, because the mean of its divisors is an integer number (88122384).

Almost surely, 21012126431 is an apocalyptic number.

1012126431 is a deficient number, since it is larger than the sum of its proper divisors (397831713).

1012126431 is a wasteful number, since it uses less digits than its factorization.

1012126431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18590.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1012126431 is about 31813.9345413295. The cubic root of 1012126431 is about 1004.0259139330.

Adding to 1012126431 its reverse (1346212101), we get a palindrome (2358338532).

The spelling of 1012126431 in words is "one billion, twelve million, one hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 23 69 827 2481 17737 19021 53211 57063 407951 1223853 14668499 44005497 337375477 1012126431