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103233413000 = 23531011022113
BaseRepresentation
bin110000000100100110…
…0001101111110001000
3100212110111212202000202
41200021030031332020
53142410223204000
6115231430151332
710313135350364
oct1401114157610
9325414782022
10103233413000
113a865630153
12180107b2548
139972679883
144dd46662a4
152a43037dd5
hex180930df88

103233413000 has 64 divisors (see below), whose sum is σ = 243958169520. Its totient is φ = 40884480000.

The previous prime is 103233412999. The next prime is 103233413011. The reversal of 103233413000 is 314332301.

103233413000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8328752644 + 94904660356 = 91262^2 + 308066^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410057 + ... + 612056.

Almost surely, 2103233413000 is an apocalyptic number.

103233413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103233413000 is an abundant number, since it is smaller than the sum of its proper divisors (140724756520).

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

103233413000 is a wasteful number, since it uses less digits than its factorization.

103233413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022235 (or 1022221 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103233413000 its reverse (314332301), we get a palindrome (103547745301).

The spelling of 103233413000 in words is "one hundred three billion, two hundred thirty-three million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 1022113 2044226 4088452 5110565 8176904 10221130 20442260 25552825 40884520 51105650 102211300 103233413 127764125 204422600 206466826 255528250 412933652 511056500 516167065 825867304 1022113000 1032334130 2064668260 2580835325 4129336520 5161670650 10323341300 12904176625 20646682600 25808353250 51616706500 103233413000