Search a number
-
+
2121132202100 = 2252139152599439
BaseRepresentation
bin11110110111011101010…
…101001101100001110100
321111210000100110021202122
4132313131111031201310
5234223034320431400
64302233520255112
7306150430143152
oct36673525154164
97453010407678
102121132202100
1174862691511a
122a310aa71498
131250391957c2
14749403183d2
153a29757a685
hex1eddd54d874

2121132202100 has 36 divisors (see below), whose sum is σ = 4635970987200. Its totient is φ = 842348897760.

The previous prime is 2121132202093. The next prime is 2121132202103. The reversal of 2121132202100 is 12022311212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121132202103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76285820 + ... + 76313619.

Almost surely, 22121132202100 is an apocalyptic number.

2121132202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121132202100 is an abundant number, since it is smaller than the sum of its proper divisors (2514838785100).

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

2121132202100 is a wasteful number, since it uses less digits than its factorization.

2121132202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152599592 (or 152599585 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2121132202100 its reverse (12022311212), we get a palindrome (2133154513312).

It can be divided in two parts, 2121132 and 202100, that added together give a palindrome (2323232).

The spelling of 2121132202100 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 13900 152599439 305198878 610397756 762997195 1525994390 3051988780 3814985975 7629971950 15259943900 21211322021 42422644042 84845288084 106056610105 212113220210 424226440420 530283050525 1060566101050 2121132202100