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12108132751 = 11131729415971
BaseRepresentation
bin10110100011011001…
…10111000110001111
31011020211120212121011
423101230313012033
5144244140222001
65321251150051
7606023300401
oct132154670617
934224525534
1012108132751
1151537a8390
12241aba5327
1311ac694cc0
1482c128b71
154aceced51
hex2d1b3718f

12108132751 has 128 divisors (see below), whose sum is σ = 16460236800. Its totient is φ = 8730624000.

The previous prime is 12108132739. The next prime is 12108132787. The reversal of 12108132751 is 15723180121.

It is not a de Polignac number, because 12108132751 - 27 = 12108132623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12108132731) 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 127 ways as a sum of consecutive naturals, for example, 170537046 + ... + 170537116.

It is an arithmetic number, because the mean of its divisors is an integer number (128595600).

Almost surely, 212108132751 is an apocalyptic number.

12108132751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12108132751 is a deficient number, since it is larger than the sum of its proper divisors (4352104049).

12108132751 is a wasteful number, since it uses less digits than its factorization.

12108132751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 12108132751 in words is "twelve billion, one hundred eight million, one hundred thirty-two thousand, seven hundred fifty-one".

Divisors: 1 11 13 17 29 41 59 71 143 187 221 319 377 451 493 533 649 697 767 781 923 1003 1189 1207 1711 2059 2419 2431 2911 4147 4189 5423 5863 6409 7667 8437 9061 10153 11033 13039 13079 13277 15457 15691 18821 20213 22243 22649 26609 26767 29087 31447 32021 35003 37843 41123 46079 49487 54457 70151 70499 71213 84419 99671 121481 143429 170027 171749 172601 222343 244673 262769 294437 319957 345917 378131 385033 416273 452353 455039 534599 544357 599027 643331 771661 783343 911963 925769 928609 1097447 1192567 1336291 1435123 1579253 1889239 2065177 2232737 2890459 2919733 4159441 4980721 5005429 5880589 7076641 10031593 10183459 12071917 13118237 15503371 15786353 17371783 18656599 22716947 24560107 26847301 32117063 37956529 54787931 64749373 84672257 170537081 205222589 295320311 417521819 712243103 931394827 1100739341 12108132751