Search a number
-
+
10003020300000 = 253255713373301
BaseRepresentation
bin1001000110010000001001…
…1110001011111011100000
31022102021112200110101112100
42101210002132023323200
52302342141144100000
633135154000330400
72051460111435540
oct221440236137340
938367480411470
1010003020300000
1132072911aa122
12115679b313a00
13577385ac98a0
142682122db320
15125305196a00
hex9190278bee0

10003020300000 has 1728 divisors, whose sum is σ = 44956741834368. Its totient is φ = 2052864000000.

The previous prime is 10003020299971. The next prime is 10003020300071. The reversal of 10003020300000 is 302030001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3030298350 + ... + 3030301650.

It is an arithmetic number, because the mean of its divisors is an integer number (26016633006).

Almost surely, 210003020300000 is an apocalyptic number.

10003020300000 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 10003020300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478370917184).

10003020300000 is an abundant number, since it is smaller than the sum of its proper divisors (34953721534368).

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

10003020300000 is a wasteful number, since it uses less digits than its factorization.

10003020300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10003020300000 its reverse (302030001), we get a palindrome (10003322330001).

The spelling of 10003020300000 in words is "ten trillion, three billion, twenty million, three hundred thousand".