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201102010000122 = 237118317683296579
BaseRepresentation
bin101101101110011010110101…
…110111101010001011111010
3222101001011102211212102010010
4231232122311313222023322
5202324323404030000442
61551412553224202350
760234066164623650
oct5556326567521372
9871034384772103
10201102010000122
1159093979a21170
121a67ab003093b6
138829ab860312a
14379356402add0
15183b1d122ab9c
hexb6e6b5dea2fa

201102010000122 has 128 divisors (see below), whose sum is σ = 507521134632960. Its totient is φ = 51601867208640.

The previous prime is 201102010000097. The next prime is 201102010000123. The reversal of 201102010000122 is 221000010201102.

It is a junction number, because it is equal to n+sod(n) for n = 201102010000098 and 201102010000107.

It is not an unprimeable number, because it can be changed into a prime (201102010000123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677924029 + ... + 678220607.

It is an arithmetic number, because the mean of its divisors is an integer number (3965008864320).

Almost surely, 2201102010000122 is an apocalyptic number.

201102010000122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102010000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253760567316480).

201102010000122 is an abundant number, since it is smaller than the sum of its proper divisors (306419124632838).

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

201102010000122 is a wasteful number, since it uses less digits than its factorization.

201102010000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314368.

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

Adding to 201102010000122 its reverse (221000010201102), we get a palindrome (422102020201224).

The spelling of 201102010000122 in words is "two hundred one trillion, one hundred two billion, ten million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1162 1743 1826 2739 3486 5478 6391 12782 17683 19173 35366 38346 53049 106098 123781 194513 247562 296579 371343 389026 583539 593158 742686 889737 1167078 1361591 1467689 1779474 2076053 2723182 2935378 3262369 4084773 4152106 4403067 6228159 6524738 8169546 8806134 9787107 10273823 12456318 16144579 19574214 20547646 22836583 24616057 30821469 32289158 45673166 48433737 49232114 61642938 68509749 73848171 96867474 113012053 137019498 147696342 172312399 226024106 270776627 339036159 344624798 516937197 541553254 678072318 812329881 1033874394 1624659762 1895436389 3790872778 5244406457 5686309167 10488812914 11372618334 15733219371 31466438742 36710845199 57688471027 73421690398 110132535597 115376942054 173065413081 220265071194 346130826162 403819297189 435285735931 807638594378 870571471862 1211457891567 1305857207793 2422915783134 2611714415586 3047000151517 4788143095241 6094000303034 9141000454551 9576286190482 14364429285723 18282000909102 28728858571446 33517001666687 67034003333374 100551005000061 201102010000122