Search a number
-
+
20002101210102 = 2311598216256573
BaseRepresentation
bin1001000110001000110100…
…01000110010101111110110
32121211011220211021001001010
410203010122020302233312
510110203300402210402
6110312501034213050
74133050500015564
oct443043210625766
977734824231033
1020002101210102
116411930752310
1222b065b284186
13b2126170661b
144d216d340a34
1524a47958ba6c
hex12311a232bf6

20002101210102 has 64 divisors (see below), whose sum is σ = 44434689073920. Its totient is φ = 5951251286400.

The previous prime is 20002101210089. The next prime is 20002101210109. The reversal of 20002101210102 is 20101210120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002101210109) 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, 68688 + ... + 6325260.

It is an arithmetic number, because the mean of its divisors is an integer number (694292016780).

Almost surely, 220002101210102 is an apocalyptic number.

20002101210102 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 20002101210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217344536960).

20002101210102 is an abundant number, since it is smaller than the sum of its proper divisors (24432587863818).

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

20002101210102 is a wasteful number, since it uses less digits than its factorization.

20002101210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257469.

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

Adding to 20002101210102 its reverse (20101210120002), we get a palindrome (40103311330104).

The spelling of 20002101210102 in words is "twenty trillion, two billion, one hundred one million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 821 1298 1642 1947 2463 3894 4926 9031 18062 27093 48439 54186 96878 145317 290634 532829 1065658 1598487 3196974 6256573 12513146 18769719 37539438 68822303 137644606 206466909 369137807 412933818 738275614 1107413421 2214826842 4060515877 5136646433 8121031754 10273292866 12181547631 15409939299 24363095262 30819878598 56503110763 113006221526 169509332289 303062139547 339018664578 606124279094 909186418641 1818372837282 3333683535017 6667367070034 10001050605051 20002101210102