Search a number
-
+
13310210123100 = 223352111930776831
BaseRepresentation
bin1100000110110000011001…
…0110001010010101011100
31202010102222102120112212000
43001230012112022111130
53221033302242414400
644150343124042300
72542426262214552
oct301540626122534
952112872515760
1013310210123100
114271912688660
1215ab736533390
137571bbb94387
14340309185bd2
151813683ac600
hexc1b0658a55c

13310210123100 has 576 divisors, whose sum is σ = 49297378099200. Its totient is φ = 3046893408000.

The previous prime is 13310210122987. The next prime is 13310210123107. The reversal of 13310210123100 is 132101201331.

13310210123100 is a `hidden beast` number, since 1 + 331 + 0 + 2 + 10 + 12 + 310 + 0 = 666.

It is a super-2 number, since 2×133102101231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310210123107) 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 191 ways as a sum of consecutive naturals, for example, 173201685 + ... + 173278515.

Almost surely, 213310210123100 is an apocalyptic number.

13310210123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310210123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648689049600).

13310210123100 is an abundant number, since it is smaller than the sum of its proper divisors (35987167976100).

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

13310210123100 is a wasteful number, since it uses less digits than its factorization.

13310210123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77191 (or 77178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13310210123100 its reverse (132101201331), we get a palindrome (13442311324431).

The spelling of 13310210123100 in words is "thirteen trillion, three hundred ten billion, two hundred ten million, one hundred twenty-three thousand, one hundred".