Search a number
-
+
10020201200022 = 23131632293441587
BaseRepresentation
bin1001000111010000001010…
…0010000111100110010110
31022110220220001100112121210
42101310002202013212112
52303132333001400042
633151114502522250
72052635632614216
oct221640242074626
938426801315553
1010020201200022
1132135a8395652
121159b95136386
13578b9341a710
14268da202a246
151259ad6a3a9c
hex91d02887996

10020201200022 has 64 divisors (see below), whose sum is σ = 21809205492480. Its totient is φ = 3050842091904.

The previous prime is 10020201200021. The next prime is 10020201200047. The reversal of 10020201200022 is 22000210202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020201199980 and 10020201200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020201200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190713 + ... + 4632299.

It is an arithmetic number, because the mean of its divisors is an integer number (340768835820).

Almost surely, 210020201200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020201200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904602746240).

10020201200022 is an abundant number, since it is smaller than the sum of its proper divisors (11789004292458).

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

10020201200022 is a wasteful number, since it uses less digits than its factorization.

10020201200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441997.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020201200022 its reverse (22000210202001), we get a palindrome (32020411402023).

The spelling of 10020201200022 in words is "ten trillion, twenty billion, two hundred one million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 163 229 326 458 489 687 978 1374 2119 2977 4238 5954 6357 8931 12714 17862 37327 74654 111981 223962 485251 970502 1455753 2911506 3441587 6883174 10324761 20649522 44740631 89481262 134221893 268443786 560978681 788123423 1121957362 1576246846 1682936043 2364370269 3365872086 4728740538 7292722853 10245604499 14585445706 20491208998 21878168559 30736813497 43756337118 61473626994 128464117949 256928235898 385392353847 770784707694 1670033533337 3340067066674 5010100600011 10020201200022