Search a number
-
+
10110100212 = 223431204013
BaseRepresentation
bin10010110101001101…
…11110001011110100
3222002120221022020000
421122212332023310
5131201141201322
64351114311300
7505352301552
oct113246761364
928076838200
1010110100212
114318984a23
121b61a28530
13c51759324
146bca22bd2
153e28aa3ac
hex25a9be2f4

10110100212 has 30 divisors (see below), whose sum is σ = 26429799858. Its totient is φ = 3370033296.

The previous prime is 10110100211. The next prime is 10110100213. The reversal of 10110100212 is 21200101101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10110100211) and next prime (10110100213).

It can be written as a sum of positive squares in only one way, i.e., 8223587856 + 1886512356 = 90684^2 + 43434^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110100194 and 10110100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110100211) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 15601683 + ... + 15602330.

Almost surely, 210110100212 is an apocalyptic number.

10110100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110100212 is an abundant number, since it is smaller than the sum of its proper divisors (16319699646).

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

10110100212 is a wasteful number, since it uses less digits than its factorization.

10110100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31204029 (or 31204018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110100212 its reverse (21200101101), we get a palindrome (31310201313).

The spelling of 10110100212 in words is "ten billion, one hundred ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 31204013 62408026 93612039 124816052 187224078 280836117 374448156 561672234 842508351 1123344468 1685016702 2527525053 3370033404 5055050106 10110100212