Search a number
-
+
2032100003310 = 23513318311317921
BaseRepresentation
bin11101100100100010100…
…110010100110111101110
321012021012112122222022120
4131210202212110313232
5231243220100101220
64153311151253410
7266546222013366
oct35444246246756
97167175588276
102032100003310
11713899525443
12289a0221a266
1311981aa18980
14704d5b859a6
1537cd616ea40
hex1d922994dee

2032100003310 has 256 divisors, whose sum is σ = 5535809298432. Its totient is φ = 473982566400.

The previous prime is 2032100003257. The next prime is 2032100003317. The reversal of 2032100003310 is 133000012302.

It is a super-2 number, since 2×20321000033102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2032100003310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032100003317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113383150 + ... + 113401070.

It is an arithmetic number, because the mean of its divisors is an integer number (21624255072).

Almost surely, 22032100003310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032100003310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767904649216).

2032100003310 is an abundant number, since it is smaller than the sum of its proper divisors (3503709295122).

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

2032100003310 is a wasteful number, since it uses less digits than its factorization.

2032100003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18171.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2032100003310 its reverse (133000012302), we get a palindrome (2165100015612).

The spelling of 2032100003310 in words is "two trillion, thirty-two billion, one hundred million, three thousand, three hundred ten".