Search a number
-
+
102032133030000 = 2433543112190219
BaseRepresentation
bin10111001100110000110101…
…000010111000000001110000
3111101021011202210010102201000
4113030300311002320001300
5101333143302023430000
61001000525334042000
730330402241661445
oct2714606502700160
9441234683112630
10102032133030000
112a568648139aa8
12b53a616aa9300
1344c1786956424
141b2a54b1139cc
15bbe1537b5000
hex5ccc350b8070

102032133030000 has 400 divisors, whose sum is σ = 377775893017600. Its totient is φ = 26330870880000.

The previous prime is 102032133029977. The next prime is 102032133030001. The reversal of 102032133030000 is 30331230201.

102032133030000 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 32 + 1 + 330 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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 (102032133030001) 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 79 ways as a sum of consecutive naturals, for example, 2274891 + ... + 14465109.

It is an arithmetic number, because the mean of its divisors is an integer number (944439732544).

Almost surely, 2102032133030000 is an apocalyptic number.

102032133030000 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 102032133030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188887946508800).

102032133030000 is an abundant number, since it is smaller than the sum of its proper divisors (275743759987600).

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

102032133030000 is a wasteful number, since it uses less digits than its factorization.

102032133030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190287 (or 12190260 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102032133030000 its reverse (30331230201), we get a palindrome (102062464260201).

The spelling of 102032133030000 in words is "one hundred two trillion, thirty-two billion, one hundred thirty-three million, thirty thousand".