Search a number
-
+
10010121121220 = 2251177535868767
BaseRepresentation
bin1001000110101010100110…
…1101101010110111000100
31022102221212112220111000212
42101222221231222313010
52303001212001334340
633142330335454552
72052131063430323
oct221525155526704
938387775814025
1010010121121220
11320a2a5456210
121158041387458
13577c47c7304c
142686c73c00ba
151255bd778a65
hex91aa9b6adc4

10010121121220 has 48 divisors (see below), whose sum is σ = 22935239244288. Its totient is φ = 3639573922560.

The previous prime is 10010121121193. The next prime is 10010121121237. The reversal of 10010121121220 is 2212112101001.

10010121121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100101211212202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010121121195 and 10010121121204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228724 + ... + 4640043.

It is an arithmetic number, because the mean of its divisors is an integer number (477817484256).

Almost surely, 210010121121220 is an apocalyptic number.

10010121121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010121121220 is an abundant number, since it is smaller than the sum of its proper divisors (12925118123068).

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

10010121121220 is a wasteful number, since it uses less digits than its factorization.

10010121121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876540 (or 5876538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10010121121220 its reverse (2212112101001), we get a palindrome (12222233222221).

The spelling of 10010121121220 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 7753 15506 31012 38765 77530 85283 155060 170566 341132 426415 852830 1705660 5868767 11737534 23475068 29343835 58687670 64556437 117375340 129112874 258225748 322782185 645564370 1291128740 45500550551 91001101102 182002202204 227502752755 455005505510 500506056061 910011011020 1001012112122 2002024224244 2502530280305 5005060560610 10010121121220