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31233423100 = 22521196729363
BaseRepresentation
bin11101000101101010…
…000011011011111100
32222121201012021210011
4131011222003123330
51002431224014400
622203132353004
72153664500365
oct350552033374
988551167704
1031233423100
11122784a9070
126078015764
132c39a8c659
141724198b6c
15c2c0678ba
hex745a836fc

31233423100 has 72 divisors (see below), whose sum is σ = 74017012608. Its totient is φ = 11345476800.

The previous prime is 31233423083. The next prime is 31233423107. The reversal of 31233423100 is 132433213.

It is a super-2 number, since 2×312334231002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31233423107) 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 23 ways as a sum of consecutive naturals, for example, 1049019 + ... + 1078381.

It is an arithmetic number, because the mean of its divisors is an integer number (1028014064).

Almost surely, 231233423100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37008506304).

31233423100 is an abundant number, since it is smaller than the sum of its proper divisors (42783589508).

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

31233423100 is a wasteful number, since it uses less digits than its factorization.

31233423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30355 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 31233423100 its reverse (132433213), we get a palindrome (31365856313).

The spelling of 31233423100 in words is "thirty-one billion, two hundred thirty-three million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 967 1100 1934 3868 4835 9670 10637 19340 21274 24175 29363 42548 48350 53185 58726 96700 106370 117452 146815 212740 265925 293630 322993 531850 587260 645986 734075 1063700 1291972 1468150 1614965 2936300 3229930 6459860 8074825 16149650 28394021 32299300 56788042 113576084 141970105 283940210 312334231 567880420 624668462 709850525 1249336924 1419701050 1561671155 2839402100 3123342310 6246684620 7808355775 15616711550 31233423100