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31100414230000 = 245410632925721
BaseRepresentation
bin1110001001001001000010…
…01001000111110111110000
311002010011121100012120221201
413010210201021013313300
513034022122020330000
6150051155535100544
76356634154123333
oct704444111076760
9132104540176851
1031100414230000
119a00680057195
1235a3575971754
1314479aac9bb1b
147973a788061a
1538ded6cee96a
hex1c4921247df0

31100414230000 has 100 divisors (see below), whose sum is σ = 75368073283888. Its totient is φ = 12428458560000.

The previous prime is 31100414229931. The next prime is 31100414230003. The reversal of 31100414230000 is 3241400113.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 31100414230000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100414230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9167140 + ... + 12092860.

Almost surely, 231100414230000 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 31100414230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37684036641944).

31100414230000 is an abundant number, since it is smaller than the sum of its proper divisors (44267659053888).

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

31100414230000 is a wasteful number, since it uses less digits than its factorization.

31100414230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926812 (or 2926791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31100414230000 its reverse (3241400113), we get a palindrome (31103655630113).

The spelling of 31100414230000 in words is "thirty-one trillion, one hundred billion, four hundred fourteen million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1063 1250 2000 2126 2500 4252 5000 5315 8504 10000 10630 17008 21260 26575 42520 53150 85040 106300 132875 212600 265750 425200 531500 664375 1063000 1328750 2126000 2657500 2925721 5315000 5851442 10630000 11702884 14628605 23405768 29257210 46811536 58514420 73143025 117028840 146286050 234057680 292572100 365715125 585144200 731430250 1170288400 1462860500 1828575625 2925721000 3110041423 3657151250 5851442000 6220082846 7314302500 12440165692 14628605000 15550207115 24880331384 29257210000 31100414230 49760662768 62200828460 77751035575 124401656920 155502071150 248803313840 311004142300 388755177875 622008284600 777510355750 1244016569200 1555020711500 1943775889375 3110041423000 3887551778750 6220082846000 7775103557500 15550207115000 31100414230000