Search a number
-
+
2002331022132 = 2237437337320359
BaseRepresentation
bin11101001000110100001…
…110101011001100110100
321002102100220002001012010
4131020310032223030310
5230301233220202012
64131505210524220
7264443425602660
oct35106416531464
97072326061163
102002331022132
11702202730261
12284094736670
13116a8547b7cc
146ccb02b58a0
153714297ac3c
hex1d2343ab334

2002331022132 has 192 divisors, whose sum is σ = 5553691996160. Its totient is φ = 549630821376.

The previous prime is 2002331022113. The next prime is 2002331022143. The reversal of 2002331022132 is 2312201332002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2002331022099 and 2002331022108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98340969 + ... + 98361327.

Almost surely, 22002331022132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002331022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776845998080).

2002331022132 is an abundant number, since it is smaller than the sum of its proper divisors (3551360974028).

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

2002331022132 is a wasteful number, since it uses less digits than its factorization.

2002331022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20862 (or 20860 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2002331022132 its reverse (2312201332002), we get a palindrome (4314532354134).

The spelling of 2002331022132 in words is "two trillion, two billion, three hundred thirty-one million, twenty-two thousand, one hundred thirty-two".