Search a number
-
+
100212000333 = 31719751137707
BaseRepresentation
bin101110101010100011…
…0011100011001001101
3100120122221120002000220
41131111012130121031
53120213233002313
6114011534541553
710145226643164
oct1352506343115
9316587502026
10100212000333
1139555075095
12175089678b9
1395b0708c23
144bc92883db
152917b64823
hex175519c64d

100212000333 has 32 divisors (see below), whose sum is σ = 149121239040. Its totient is φ = 59488992000.

The previous prime is 100212000331. The next prime is 100212000337. The reversal of 100212000333 is 333000212001.

It is not a de Polignac number, because 100212000333 - 21 = 100212000331 is a prime.

It is a super-2 number, since 2×1002120003332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212000331) 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 31 ways as a sum of consecutive naturals, for example, 658866 + ... + 796572.

It is an arithmetic number, because the mean of its divisors is an integer number (4660038720).

Almost surely, 2100212000333 is an apocalyptic number.

It is an amenable number.

100212000333 is a deficient number, since it is larger than the sum of its proper divisors (48909238707).

100212000333 is a wasteful number, since it uses less digits than its factorization.

100212000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138497.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100212000333 its reverse (333000212001), we get a palindrome (433212212334).

The spelling of 100212000333 in words is "one hundred billion, two hundred twelve million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 17 19 51 57 323 751 969 2253 12767 14269 38301 42807 137707 242573 413121 727719 2341019 2616433 7023057 7849299 44479361 103417957 133438083 310253871 1758105269 1964941183 5274315807 5894823549 33404000111 100212000333