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120132003211333 = 3141827413327653
BaseRepresentation
bin11011010100001001101001…
…011000001010100001000101
3120202100111200212002221220121
4123110021221120022201011
5111221220320310230313
61103255514055501541
734206152013026611
oct3324115130124105
9522314625087817
10120132003211333
1135306772a836a3
12115824789878b1
135205526331449
1421945c45cc341
15dd4d982b328d
hex6d426960a845

120132003211333 has 32 divisors (see below), whose sum is σ = 127220774833152. Its totient is φ = 113252593036800.

The previous prime is 120132003211307. The next prime is 120132003211387. The reversal of 120132003211333 is 333112300231021.

It is not a de Polignac number, because 120132003211333 - 241 = 117932979955781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120132003211298 and 120132003211307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132003911333) 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 31 ways as a sum of consecutive naturals, for example, 4344252735 + ... + 4344280387.

It is an arithmetic number, because the mean of its divisors is an integer number (3975649213536).

Almost surely, 2120132003211333 is an apocalyptic number.

It is an amenable number.

120132003211333 is a deficient number, since it is larger than the sum of its proper divisors (7088771621819).

120132003211333 is a wasteful number, since it uses less digits than its factorization.

120132003211333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32685.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 120132003211333 its reverse (333112300231021), we get a palindrome (453244303442354).

The spelling of 120132003211333 in words is "one hundred twenty trillion, one hundred thirty-two billion, three million, two hundred eleven thousand, three hundred thirty-three".

Divisors: 1 31 41 827 1271 4133 25637 27653 33907 128123 169453 857243 1051117 1133773 3417991 5253043 22869031 35146963 105957721 114289849 140137631 708939961 937630271 3542985319 4344266561 4685883809 29066538401 94517705123 145262398079 2930048858813 3875225910043 120132003211333