Search a number
-
+
2100303122121 = 33313577430723
BaseRepresentation
bin11110100100000011110…
…100100100111011001001
321102210020201212101121000
4132210003310210323021
5233402410044401441
64244511013005213
7304512316655361
oct36440364447311
97383221771530
102100303122121
1173a8083a3036
1229b077323809
13123099ac59c9
1473925c979a1
1539978b412b6
hex1e903d24ec9

2100303122121 has 32 divisors (see below), whose sum is σ = 3126918408320. Its totient is φ = 1393306417152.

The previous prime is 2100303122111. The next prime is 2100303122129. The reversal of 2100303122121 is 1212213030012.

It is not a de Polignac number, because 2100303122121 - 25 = 2100303122089 is a prime.

It is a super-2 number, since 2×21003031221212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100303122094 and 2100303122103.

It is not an unprimeable number, because it can be changed into a prime (2100303122129) 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, 4660866 + ... + 5091588.

It is an arithmetic number, because the mean of its divisors is an integer number (97716200260).

Almost surely, 22100303122121 is an apocalyptic number.

It is an amenable number.

2100303122121 is a deficient number, since it is larger than the sum of its proper divisors (1026615286199).

2100303122121 is a wasteful number, since it uses less digits than its factorization.

2100303122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431622 (or 431616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2100303122121 its reverse (1212213030012), we get a palindrome (3312516152133).

The spelling of 2100303122121 in words is "two trillion, one hundred billion, three hundred three million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 313 577 939 1731 2817 5193 8451 15579 180601 430723 541803 1292169 1625409 3876507 4876227 11629521 134816299 248527171 404448897 745581513 1213346691 2236744539 3640040073 6710233617 77789004523 233367013569 700101040707 2100303122121