Search a number
-
+
101122010022 = 23117333163409
BaseRepresentation
bin101111000101101010…
…1110110101110100110
3100200000100220100122110
41132023111312232212
53124044213310042
6114242123341450
710206616621515
oct1361325665646
9320010810573
10101122010022
1139981813910
1217721681886
1396c70c86b7
144c7408c67c
15296c9bc09c
hex178b576ba6

101122010022 has 64 divisors (see below), whose sum is σ = 224331390720. Its totient is φ = 30131481600.

The previous prime is 101122009991. The next prime is 101122010029. The reversal of 101122010022 is 220010221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122010029) 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, 1563054 + ... + 1626462.

It is an arithmetic number, because the mean of its divisors is an integer number (3505177980).

Almost surely, 2101122010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112165695360).

101122010022 is an abundant number, since it is smaller than the sum of its proper divisors (123209380698).

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

101122010022 is a wasteful number, since it uses less digits than its factorization.

101122010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63829.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101122010022 its reverse (220010221101), we get a palindrome (321132231123).

The spelling of 101122010022 in words is "one hundred one billion, one hundred twenty-two million, ten thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 331 438 662 803 993 1606 1986 2409 3641 4818 7282 10923 21846 24163 48326 63409 72489 126818 144978 190227 265793 380454 531586 697499 797379 1394998 1594758 2092497 4184994 4628857 9257714 13886571 20988379 27773142 41976758 50917427 62965137 101834854 125930274 152752281 230872169 305504562 461744338 692616507 1385233014 1532151667 3064303334 4596455001 9192910002 16853668337 33707336674 50561005011 101122010022