Search a number
-
+
12121102101010 = 257414223380523
BaseRepresentation
bin1011000001100010100111…
…1111000010101000010010
31120220202200110001020122211
42300120221333002220102
53042043004114213020
641440205112222334
72360502131621260
oct260305177025022
946822613036584
1012121102101010
113953592159801
12143919869a9aa
1369c027012016
142dc94344d430
1516046ea2485a
hexb0629fc2a12

12121102101010 has 32 divisors (see below), whose sum is σ = 25543005409152. Its totient is φ = 4054445301120.

The previous prime is 12121102100999. The next prime is 12121102101041. The reversal of 12121102101010 is 1010120112121.

It is a happy number.

It is a super-2 number, since 2×121211021010102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2111687392 + ... + 2111693131.

It is an arithmetic number, because the mean of its divisors is an integer number (798218919036).

Almost surely, 212121102101010 is an apocalyptic number.

12121102101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121102101010 is an abundant number, since it is smaller than the sum of its proper divisors (13421903308142).

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

12121102101010 is a wasteful number, since it uses less digits than its factorization.

12121102101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223380578.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121102101010 its reverse (1010120112121), we get a palindrome (13131222213131).

The spelling of 12121102101010 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 4223380523 8446761046 21116902615 29563663661 42233805230 59127327322 147818318305 173158601443 295636636610 346317202886 865793007215 1212110210101 1731586014430 2424220420202 6060551050505 12121102101010