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103233332040 = 23356411342087
BaseRepresentation
bin110000000100100101…
…1111010001101001000
3100212110111201121222020
41200021023322031020
53142410213111130
6115231424324440
710313134562346
oct1401113721510
9325414647866
10103233332040
113a865585343
1218010773720
13997264ba77
144dd4644996
152a4301de10
hex18092fa348

103233332040 has 64 divisors (see below), whose sum is σ = 310183378560. Its totient is φ = 27485921280.

The previous prime is 103233332023. The next prime is 103233332047. The reversal of 103233332040 is 40233332301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103233332040.

It is not an unprimeable number, because it can be changed into a prime (103233332047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594124 + ... + 747963.

It is an arithmetic number, because the mean of its divisors is an integer number (4846615290).

Almost surely, 2103233332040 is an apocalyptic number.

103233332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103233332040 is an abundant number, since it is smaller than the sum of its proper divisors (206950046520).

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

103233332040 is a wasteful number, since it uses less digits than its factorization.

103233332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342742 (or 1342738 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 103233332040 its reverse (40233332301), we get a palindrome (143466664341).

The spelling of 103233332040 in words is "one hundred three billion, two hundred thirty-three million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 641 1282 1923 2564 3205 3846 5128 6410 7692 9615 12820 15384 19230 25640 38460 76920 1342087 2684174 4026261 5368348 6710435 8052522 10736696 13420870 16105044 20131305 26841740 32210088 40262610 53683480 80525220 161050440 860277767 1720555534 2580833301 3441111068 4301388835 5161666602 6882222136 8602777670 10323333204 12904166505 17205555340 20646666408 25808333010 34411110680 51616666020 103233332040