Search a number
-
+
10202122011102 = 2371953241219133
BaseRepresentation
bin1001010001110101110111…
…0110111100000111011110
31100010022110102110021022120
42110131131312330013132
52314122421213323402
633410442401123410
72102036044161510
oct224353566740736
940108412407276
1010202122011102
1132837719a75aa
1211892a6029566
13590095ca1168
14273adcd89bb0
1512a5a982b3bc
hex9475ddbc1de

10202122011102 has 64 divisors (see below), whose sum is σ = 25009599813120. Its totient is φ = 2709373290624.

The previous prime is 10202122011101. The next prime is 10202122011161. The reversal of 10202122011102 is 20111022120201.

It is a super-2 number, since 2×102021220111022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122011101) 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, 120567273 + ... + 120651860.

It is an arithmetic number, because the mean of its divisors is an integer number (390774997080).

Almost surely, 210202122011102 is an apocalyptic number.

10202122011102 is an abundant number, since it is smaller than the sum of its proper divisors (14807477802018).

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

10202122011102 is a wasteful number, since it uses less digits than its factorization.

10202122011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241219217.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202122011102 its reverse (20111022120201), we get a palindrome (30313144131303).

The spelling of 10202122011102 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 1007 1113 2014 2226 3021 6042 7049 14098 21147 42294 241219133 482438266 723657399 1447314798 1688533931 3377067862 4583163527 5065601793 9166327054 10131203586 12784614049 13749490581 25569228098 27498981162 32082144689 38353842147 64164289378 76707684294 89492298343 96246434067 178984596686 192492868134 242907666931 268476895029 485815333862 536953790058 728723000793 1457446001586 1700353668517 3400707337034 5101061005551 10202122011102