Search a number
-
+
1020220122132 = 223228339447837
BaseRepresentation
bin11101101100010011101…
…10111010010000010100
310121112100220011001112100
432312021312322100110
5113203402322402012
62100403241522100
7133465001645301
oct16661166722024
93545326131470
101020220122132
11363744730a32
121458857a3330
137528b454653
1437543a6c0a8
151b8119b38dc
hexed89dba414

1020220122132 has 18 divisors (see below), whose sum is σ = 2578889753258. Its totient is φ = 340073374032.

The previous prime is 1020220122109. The next prime is 1020220122169. The reversal of 1020220122132 is 2312210220201.

1020220122132 is a `hidden beast` number, since 10 + 202 + 201 + 221 + 32 = 666.

1020220122132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1015229547396 + 4990574736 = 1007586^2 + 70644^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14169723883 + ... + 14169723954.

Almost surely, 21020220122132 is an apocalyptic number.

1020220122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020220122132 is an abundant number, since it is smaller than the sum of its proper divisors (1558669631126).

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

1020220122132 is a wasteful number, since it uses less digits than its factorization.

1020220122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28339447847 (or 28339447842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020220122132 its reverse (2312210220201), we get a palindrome (3332430342333).

The spelling of 1020220122132 in words is "one trillion, twenty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 28339447837 56678895674 85018343511 113357791348 170036687022 255055030533 340073374044 510110061066 1020220122132