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32135201112014 = 27111323466735617
BaseRepresentation
bin1110100111010000011110…
…01111110011111111001110
311012210002120102021201110022
413103220033033303333032
513203000342441041024
6152202412501142142
76524456145364430
oct723501717637716
9135702512251408
1032135201112014
11a26a50a2a0450
1237300259ba952
1314c144b290200
147d14cdd98650
153aad9c54a35e
hex1d3a0f3f3fce

32135201112014 has 96 divisors (see below), whose sum is σ = 65079153444096. Its totient is φ = 11556457436160.

The previous prime is 32135201111957. The next prime is 32135201112019. The reversal of 32135201112014 is 41021110253123.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32135201112019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902225534 + ... + 902261150.

It is an arithmetic number, because the mean of its divisors is an integer number (677907848376).

Almost surely, 232135201112014 is an apocalyptic number.

32135201112014 is an abundant number, since it is smaller than the sum of its proper divisors (32943952332082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32135201112014 is a wasteful number, since it uses less digits than its factorization.

32135201112014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70330 (or 70317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 32135201112014 its reverse (41021110253123), we get a palindrome (73156311365137).

The spelling of 32135201112014 in words is "thirty-two trillion, one hundred thirty-five billion, two hundred one million, one hundred twelve thousand, fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2366 3718 13013 26026 34667 35617 69334 71234 242669 249319 381337 391787 450671 463021 485338 498638 762674 783574 901342 926042 2669359 2742509 3154697 3241147 4957381 5093231 5338718 5485018 5858723 6019273 6309394 6482294 9914762 10186462 11717446 12038546 34701667 35652617 41011061 42134911 64445953 66212003 69403334 71305234 82022122 84269822 128891906 132424006 451121671 463484021 902243342 926968042 1234734539 2469469078 8643141773 13582079929 16051549007 17286283546 27164159858 32103098014 95074559503 112360843049 176567039077 190149119006 208670137091 224721686098 353134078154 417340274182 1235969273539 1460690959637 2295371508001 2471938547078 2921381919274 4590743016002 16067600556007 32135201112014