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126542031 = 37113141431
BaseRepresentation
bin1111000101011…
…10000011001111
322211010000000220
413202232003033
5224343321111
620320122423
73064406130
oct742560317
9284100026
10126542031
116547a9a0
1236466413
13202a7855
1412b3dc87
15b198e06
hex78ae0cf

126542031 has 64 divisors (see below), whose sum is σ = 222953472. Its totient is φ = 61920000.

The previous prime is 126542027. The next prime is 126542041. The reversal of 126542031 is 130245621.

It is not a de Polignac number, because 126542031 - 22 = 126542027 is a prime.

It is a super-2 number, since 2×1265420312 = 32025771219209922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126541992 and 126542010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126542041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293386 + ... + 293816.

It is an arithmetic number, because the mean of its divisors is an integer number (3483648).

Almost surely, 2126542031 is an apocalyptic number.

126542031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126542031 is a deficient number, since it is larger than the sum of its proper divisors (96411441).

126542031 is a wasteful number, since it uses less digits than its factorization.

126542031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 126542031 is about 11249.0902298808. The cubic root of 126542031 is about 502.0476441926.

Adding to 126542031 its reverse (130245621), we get a palindrome (256787652).

The spelling of 126542031 in words is "one hundred twenty-six million, five hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 11 21 31 33 41 77 93 123 217 231 287 341 431 451 651 861 1023 1271 1293 1353 2387 3017 3157 3813 4741 7161 8897 9051 9471 13361 13981 14223 17671 26691 33187 40083 41943 53013 93527 97867 99561 123697 146971 194381 280581 293601 371091 440913 547801 583143 1028797 1360667 1643403 3086391 3834607 4082001 6025811 11503821 18077433 42180677 126542031