Search a number
-
+
33002431120122 = 23311127711573387
BaseRepresentation
bin1111000000011111110100…
…01011110000001011111010
311022212000001011112201210020
413200033322023300023322
513311202434331320442
6154105035122031310
76644230003002132
oct740177213601372
9138760034481706
1033002431120122
11a574285aa5312
1238501134a8536
131555167832869
1482147d0c3ac2
153c3707b8e9ec
hex1e03fa2f02fa

33002431120122 has 32 divisors (see below), whose sum is σ = 68134698829824. Its totient is φ = 10645844353200.

The previous prime is 33002431120103. The next prime is 33002431120129. The reversal of 33002431120122 is 22102113420033.

It is a junction number, because it is equal to n+sod(n) for n = 33002431120092 and 33002431120101.

It is not an unprimeable number, because it can be changed into a prime (33002431120129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20188713 + ... + 21762099.

It is an arithmetic number, because the mean of its divisors is an integer number (2129209338432).

Almost surely, 233002431120122 is an apocalyptic number.

33002431120122 is an abundant number, since it is smaller than the sum of its proper divisors (35132267709702).

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

33002431120122 is a wasteful number, since it uses less digits than its factorization.

33002431120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686194.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33002431120122 its reverse (22102113420033), we get a palindrome (55104544540155).

The spelling of 33002431120122 in words is "thirty-three trillion, two billion, four hundred thirty-one million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 62 93 186 112771 225542 338313 676626 1573387 3146774 3495901 4720161 6991802 9440322 10487703 20975406 48774997 97549994 146324991 292649982 177432425377 354864850754 532297276131 1064594552262 5500405186687 11000810373374 16501215560061 33002431120122