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100212443331 = 37112133033707
BaseRepresentation
bin101110101010100100…
…0001000100011000011
3100120122222101120201020
41131111020020203003
53120213341141311
6114011552240523
710145233466550
oct1352510104303
9316588346636
10100212443331
1139555347a00
1217508b40143
1395b0832760
144bc9361a27
152917c00c06
hex17552088c3

100212443331 has 48 divisors (see below), whose sum is σ = 180760457472. Its totient is φ = 48053903040.

The previous prime is 100212443323. The next prime is 100212443333. The reversal of 100212443331 is 133344212001.

It is a happy number.

It is not a de Polignac number, because 100212443331 - 23 = 100212443323 is a prime.

It is a super-2 number, since 2×1002124433312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212443333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1483821 + ... + 1549886.

It is an arithmetic number, because the mean of its divisors is an integer number (3765842864).

Almost surely, 2100212443331 is an apocalyptic number.

100212443331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212443331 is a deficient number, since it is larger than the sum of its proper divisors (80548014141).

100212443331 is a wasteful number, since it uses less digits than its factorization.

100212443331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033752 (or 3033741 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100212443331 its reverse (133344212001), we get a palindrome (233556655332).

The spelling of 100212443331 in words is "one hundred billion, two hundred twelve million, four hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 3033707 9101121 21235949 33370777 39438191 63707847 100112331 118314573 233595439 276067337 367078547 433820101 700786317 828202011 1101235641 1301460303 2569549829 3036740707 4772021111 7708649487 9110222121 14316063333 33404147777 100212443331