Search a number
-
+
33001132002131 = 2989113041113111
BaseRepresentation
bin1111000000011101011001…
…10000000000101101010011
311022211212200122000200221002
413200032230300000231103
513311142304243032011
6154104302153252215
76644152546454126
oct740165460005523
9138755618020832
1033001132002131
11a57377974a787
12384ba1040406b
131554cbb6461a7
148213987523bd
153c367dac5c3b
hex1e03acc00b53

33001132002131 has 16 divisors (see below), whose sum is σ = 34523298100800. Its totient is φ = 31504591641600.

The previous prime is 33001132002101. The next prime is 33001132002151. The reversal of 33001132002131 is 13120023110033.

It is a cyclic number.

It is not a de Polignac number, because 33001132002131 - 234 = 32983952132947 is a prime.

It is a super-2 number, since 2×330011320021312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33001132002101) 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, 291702266 + ... + 291815376.

It is an arithmetic number, because the mean of its divisors is an integer number (2157706131300).

Almost surely, 233001132002131 is an apocalyptic number.

33001132002131 is a deficient number, since it is larger than the sum of its proper divisors (1522166098669).

33001132002131 is a wasteful number, since it uses less digits than its factorization.

33001132002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226270.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33001132002131 its reverse (13120023110033), we get a palindrome (46121155112164).

The spelling of 33001132002131 in words is "thirty-three trillion, one billion, one hundred thirty-two million, two thousand, one hundred thirty-one".

Divisors: 1 29 89 2581 113041 113111 3278189 3280219 10060649 10066879 291758821 291939491 12786180551 370799235979 1137970069039 33001132002131