Search a number
-
+
10020020101 = 7131920692801
BaseRepresentation
bin10010101010011110…
…10101111110000101
3221212022102202112121
421111033111332011
5131010111120401
64334135445541
7503206523410
oct112517257605
927768382477
1010020020101
114282049453
121b378268b1
13c38ba9aa0
146b0a94b77
153d9a14ca1
hex2553d5f85

10020020101 has 32 divisors (see below), whose sum is σ = 12992313600. Its totient is φ = 7504358400.

The previous prime is 10020020071. The next prime is 10020020111. The reversal of 10020020101 is 10102002001.

It is not a de Polignac number, because 10020020101 - 211 = 10020018053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3575901 + ... + 3578701.

It is an arithmetic number, because the mean of its divisors is an integer number (406009800).

Almost surely, 210020020101 is an apocalyptic number.

It is an amenable number.

10020020101 is a deficient number, since it is larger than the sum of its proper divisors (2972293499).

10020020101 is a wasteful number, since it uses less digits than its factorization.

10020020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020020101 its reverse (10102002001), we get a palindrome (20122022102).

The spelling of 10020020101 in words is "ten billion, twenty million, twenty thousand, one hundred one".

Divisors: 1 7 13 19 91 133 247 1729 2069 2801 14483 19607 26897 36413 39311 53219 188279 254891 275177 372533 511043 691847 3577301 4842929 5795269 40566883 75338497 110110111 527369479 770770777 1431431443 10020020101