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32201033133132 = 223217330731590907
BaseRepresentation
bin1110101001001011000110…
…01001000010110001001100
311020000101111100211220011200
413110211203021002301030
513210040203440230012
6152252541141545500
76532306422340233
oct724454311026114
9136011440756150
1032201033133132
11a2954217a7276
123740938a15290
1314c7710060a66
147d4777211b1a
153ac951ca43dc
hex1d4963242c4c

32201033133132 has 72 divisors (see below), whose sum is σ = 86187778172496. Its totient is φ = 10101973100544.

The previous prime is 32201033133103. The next prime is 32201033133133. The reversal of 32201033133132 is 23133133010223.

32201033133132 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 10 + 331 + 3 + 313 + 2 = 666.

It is a super-2 number, since 2×322010331331322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32201033133096 and 32201033133105.

It is not an unprimeable number, because it can be changed into a prime (32201033133133) 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 23 ways as a sum of consecutive naturals, for example, 19445223 + ... + 21036129.

It is an arithmetic number, because the mean of its divisors is an integer number (1197052474618).

Almost surely, 232201033133132 is an apocalyptic number.

It is an amenable number.

32201033133132 is an abundant number, since it is smaller than the sum of its proper divisors (53986745039364).

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

32201033133132 is a wasteful number, since it uses less digits than its factorization.

32201033133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624007 (or 1624002 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 32201033133132 its reverse (23133133010223), we get a palindrome (55334166143355).

The spelling of 32201033133132 in words is "thirty-two trillion, two hundred one billion, thirty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 33073 66146 99219 132292 198438 297657 396876 562241 595314 1124482 1190628 1590907 1686723 2248964 3181814 3373446 4772721 5060169 6363628 6746892 9545442 10120338 14318163 19090884 20240676 27045419 28636326 54090838 57272652 81136257 108181676 162272514 243408771 324545028 486817542 973635084 52616067211 105232134422 157848201633 210464268844 315696403266 473544604899 631392806532 894473142587 947089209798 1788946285174 1894178419596 2683419427761 3577892570348 5366838855522 8050258283283 10733677711044 16100516566566 32201033133132