Search a number
-
+
103102033023000 = 233253113133594667
BaseRepresentation
bin10111011100010101010000…
…000011011101000000011000
3111112001110100221201102020200
4113130111100003131000120
5102003210430423214000
61003140230424022200
730500606330605524
oct2734252003350030
9445043327642220
10103102033023000
112a940365860250
12b691a46301960
13456b63172286b
141b66244b7cd84
15bdbdc1985500
hex5dc5500dd018

103102033023000 has 384 divisors, whose sum is σ = 392428723415040. Its totient is φ = 24188159520000.

The previous prime is 103102033022959. The next prime is 103102033023019. The reversal of 103102033023000 is 320330201301.

103102033023000 is a `hidden beast` number, since 1 + 0 + 3 + 10 + 20 + 330 + 2 + 300 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 13728334 + ... + 19866333.

It is an arithmetic number, because the mean of its divisors is an integer number (1021949800560).

Almost surely, 2103102033023000 is an apocalyptic number.

103102033023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103102033023000 is an abundant number, since it is smaller than the sum of its proper divisors (289326690392040).

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

103102033023000 is a wasteful number, since it uses less digits than its factorization.

103102033023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33594736 (or 33594719 counting only the distinct ones).

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

Adding to 103102033023000 its reverse (320330201301), we get a palindrome (103422363224301).

The spelling of 103102033023000 in words is "one hundred three trillion, one hundred two billion, thirty-three million, twenty-three thousand".