Search a number
-
+
103011300210000 = 2435471337733077
BaseRepresentation
bin10111011011000000101111…
…111101001111010101010000
3111111201210011121220221200010
4113123000233331033111100
5102000214120323210000
61003030423224554520
730461215022455110
oct2733005775172520
9444653147827603
10103011300210000
112a905935518986
12b678344022a40
134562c01b42a30
141b61ab8805040
15bd9861103d50
hex5db02ff4f550

103011300210000 has 400 divisors, whose sum is σ = 409272887053184. Its totient is φ = 21734251776000.

The previous prime is 103011300209959. The next prime is 103011300210001. The reversal of 103011300210000 is 12003110301.

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

It is a super-2 number, since 2×1030113002100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011300210001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16136539 + ... + 21596538.

Almost surely, 2103011300210000 is an apocalyptic number.

103011300210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011300210000 is an abundant number, since it is smaller than the sum of its proper divisors (306261586843184).

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

103011300210000 is a wasteful number, since it uses less digits than its factorization.

103011300210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37733128 (or 37733107 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103011300210000 its reverse (12003110301), we get a palindrome (103023303320301).

The spelling of 103011300210000 in words is "one hundred three trillion, eleven billion, three hundred million, two hundred ten thousand".