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126131126 = 211217233143
BaseRepresentation
bin1111000010010…
…01101110110110
322210100010101012
413201021232312
5224242144001
620303232222
73061045142
oct741115666
9283303335
10126131126
116521a200
12362a8672
1320192804
1412a74222
15b1172bb
hex7849bb6

126131126 has 96 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 48787200.

The previous prime is 126131099. The next prime is 126131167. The reversal of 126131126 is 621131621.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2933261 + ... + 2933303.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2126131126 is an apocalyptic number.

126131126 is a deficient number, since it is larger than the sum of its proper divisors (116563018).

126131126 is a wasteful number, since it uses less digits than its factorization.

126131126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 126131126 is about 11230.8114577710. The cubic root of 126131126 is about 501.5036415911.

Adding to 126131126 its reverse (621131621), we get a palindrome (747262747).

The spelling of 126131126 in words is "one hundred twenty-six million, one hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 11 17 22 23 31 34 43 46 62 86 121 187 242 253 341 374 391 473 506 527 682 713 731 782 946 989 1054 1333 1426 1462 1978 2057 2666 2783 3751 4114 4301 5203 5566 5797 7502 7843 8041 8602 10406 10879 11594 12121 14663 15686 16082 16813 21758 22661 24242 29326 30659 33626 45322 47311 61318 63767 86273 88451 94622 119669 127534 133331 161293 172546 176902 184943 239338 249271 266662 322586 337249 369886 498542 521203 674498 1042406 1466641 2034373 2741981 2933282 3709739 4068746 5483962 5733233 7419478 11466466 63065563 126131126