Search a number
-
+
101031222033 = 3271603670191
BaseRepresentation
bin101111000010111101…
…1100001101100010001
3100122210001001211221100
41132011323201230101
53123402443101113
6114225121415013
710204435134510
oct1360573415421
9318701054840
10101031222033
1139935544515
12176b719a469
1396b135bbb1
144c65db8677
152964a36d73
hex1785ee1b11

101031222033 has 12 divisors (see below), whose sum is σ = 166781699968. Its totient is φ = 57732126840.

The previous prime is 101031222031. The next prime is 101031222073. The reversal of 101031222033 is 330222130101.

101031222033 is a `hidden beast` number, since 101 + 0 + 312 + 220 + 33 = 666.

It is not a de Polignac number, because 101031222033 - 21 = 101031222031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101031221997 and 101031222015.

It is not an unprimeable number, because it can be changed into a prime (101031222031) 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 11 ways as a sum of consecutive naturals, for example, 801835033 + ... + 801835158.

Almost surely, 2101031222033 is an apocalyptic number.

It is an amenable number.

101031222033 is a deficient number, since it is larger than the sum of its proper divisors (65750477935).

101031222033 is a wasteful number, since it uses less digits than its factorization.

101031222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603670204 (or 1603670201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101031222033 its reverse (330222130101), we get a palindrome (431253352134).

The spelling of 101031222033 in words is "one hundred one billion, thirty-one million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 7 9 21 63 1603670191 4811010573 11225691337 14433031719 33677074011 101031222033