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31212200100 = 22352104040667
BaseRepresentation
bin11101000100011001…
…000110000010100100
32222120020021001022010
4131010121012002210
51002410310400400
622201053434220
72153316215634
oct350431060244
988506231263
1031212200100
11122675229a4
126070a9b970
132c3556b673
1417214326c4
15c2a274450
hex7446460a4

31212200100 has 36 divisors (see below), whose sum is σ = 90307299824. Its totient is φ = 8323253280.

The previous prime is 31212200029. The next prime is 31212200101. The reversal of 31212200100 is 100221213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31212200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52020034 + ... + 52020633.

Almost surely, 231212200100 is an apocalyptic number.

31212200100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31212200100 is an abundant number, since it is smaller than the sum of its proper divisors (59095099724).

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

31212200100 is a wasteful number, since it uses less digits than its factorization.

31212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104040684 (or 104040677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31212200100 its reverse (100221213), we get a palindrome (31312421313).

The spelling of 31212200100 in words is "thirty-one billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 104040667 208081334 312122001 416162668 520203335 624244002 1040406670 1248488004 1560610005 2080813340 2601016675 3121220010 5202033350 6242440020 7803050025 10404066700 15606100050 31212200100