Search a number
-
+
330034310201020 = 225126971486987407
BaseRepresentation
bin100101100001010100001100…
…1110100101011111010111100
31121021112222020112100010222011
41023002220121310223322330
5321224240231402413040
63125531400302101004
7126342122605106005
oct11302503164537274
91537488215303864
10330034310201020
119618284614a407
1231022a3a87a764
1311220142b8a859
145b6da6284c1ac
152824e3a85d3ea
hex12c2a19d2bebc

330034310201020 has 48 divisors (see below), whose sum is σ = 693181182879360. Its totient is φ = 131992938975744.

The previous prime is 330034310201009. The next prime is 330034310201023. The reversal of 330034310201020 is 20102013430033.

It is a junction number, because it is equal to n+sod(n) for n = 330034310200982 and 330034310201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034310201023) 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, 3775790157 + ... + 3775877563.

It is an arithmetic number, because the mean of its divisors is an integer number (14441274643320).

Almost surely, 2330034310201020 is an apocalyptic number.

It is an amenable number.

330034310201020 is an abundant number, since it is smaller than the sum of its proper divisors (363146872678340).

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

330034310201020 is a wasteful number, since it uses less digits than its factorization.

330034310201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114982 (or 114980 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330034310201020 its reverse (20102013430033), we get a palindrome (350136323631053).

The spelling of 330034310201020 in words is "three hundred thirty trillion, thirty-four billion, three hundred ten million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 12697 14869 25394 29738 50788 59476 63485 74345 87407 126970 148690 174814 253940 297380 349628 437035 874070 1748140 188791693 377583386 755166772 943958465 1109806679 1299654683 1887916930 2219613358 2599309366 3775833860 4439226716 5198618732 5549033395 6498273415 11098066790 12996546830 22196133580 25993093660 16501715510051 33003431020102 66006862040204 82508577550255 165017155100510 330034310201020