Search a number
-
+
32113120300033 = 503216136378123
BaseRepresentation
bin1110100110100111010110…
…01000001100110000000001
311012200222120120100020210011
413103103223020030300001
513202120132244100113
6152144321440504521
76523045025521333
oct723235310146001
9135628516306704
1032113120300033
11a261109249603
1237278a301b141
1314bc33c7853a6
147d03d75bd453
153aa508ca763d
hex1d34eb20cc01

32113120300033 has 16 divisors (see below), whose sum is σ = 32204668680576. Its totient is φ = 32021695837440.

The previous prime is 32113120299989. The next prime is 32113120300091. The reversal of 32113120300033 is 33000302131123.

It is a cyclic number.

It is not a de Polignac number, because 32113120300033 - 213 = 32113120291841 is a prime.

It is a super-3 number, since 3×321131203000333 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32113120299977 and 32113120300013.

It is not an unprimeable number, because it can be changed into a prime (32113120000033) 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 15 ways as a sum of consecutive naturals, for example, 3953353110 + ... + 3953361232.

It is an arithmetic number, because the mean of its divisors is an integer number (2012791792536).

Almost surely, 232113120300033 is an apocalyptic number.

It is an amenable number.

32113120300033 is a deficient number, since it is larger than the sum of its proper divisors (91548380543).

32113120300033 is a wasteful number, since it uses less digits than its factorization.

32113120300033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 32113120300033 its reverse (33000302131123), we get a palindrome (65113422431156).

The spelling of 32113120300033 in words is "thirty-two trillion, one hundred thirteen billion, one hundred twenty million, three hundred thousand, thirty-three".

Divisors: 1 503 2161 3637 8123 1086983 1829411 4085869 7859557 17553803 29543351 3953357171 8829562909 14860305553 63843181511 32113120300033