Search a number
-
+
31420002240020 = 2251571000112001
BaseRepresentation
bin1110010010011100010100…
…00100101000011000010100
311010020201111222102121221102
413021032022010220120110
513104241131033140040
6150454052203205232
76422006642312642
oct711161204503024
9133221458377842
1031420002240020
11a01416a168319
1236354a7216818
13146bb800264b4
147a8a442a2192
1539748de98515
hex1c938a128614

31420002240020 has 12 divisors (see below), whose sum is σ = 65982004704084. Its totient is φ = 12568000896000.

The previous prime is 31420002239897. The next prime is 31420002240061. The reversal of 31420002240020 is 2004220002413.

It can be written as a sum of positive squares in 2 ways, for example, as 7193563854724 + 24226438385296 = 2682082^2 + 4922036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1571000112001 = 31420002240020 / (3 + 1 + 4 + 2 + 0 + 0 + 0 + 2 + 2 + 4 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 31420002239974 and 31420002240001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785500055981 + ... + 785500056020.

It is an arithmetic number, because the mean of its divisors is an integer number (5498500392007).

Almost surely, 231420002240020 is an apocalyptic number.

It is an amenable number.

31420002240020 is an abundant number, since it is smaller than the sum of its proper divisors (34562002464064).

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

31420002240020 is a wasteful number, since it uses less digits than its factorization.

31420002240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571000112010 (or 1571000112008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 31420002240020 its reverse (2004220002413), we get a palindrome (33424222242433).

The spelling of 31420002240020 in words is "thirty-one trillion, four hundred twenty billion, two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 1571000112001 3142000224002 6284000448004 7855000560005 15710001120010 31420002240020