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103040434320 = 24351014250843
BaseRepresentation
bin101111111110110110…
…0000100000010010000
3100211222001202102001020
41133331230010002100
53142011322344240
6115200334035440
710305303145335
oct1377554040220
9324861672036
10103040434320
113a77670343a
1217b78048b80
1399416b03c5
144db6b9098c
152a311190d0
hex17fdb04090

103040434320 has 80 divisors (see below), whose sum is σ = 322588049472. Its totient is φ = 27205388800.

The previous prime is 103040434319. The next prime is 103040434403. The reversal of 103040434320 is 23434040301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1030404343202 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101182 + ... + 2149661.

Almost surely, 2103040434320 is an apocalyptic number.

103040434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040434320 is an abundant number, since it is smaller than the sum of its proper divisors (219547615152).

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

103040434320 is a wasteful number, since it uses less digits than its factorization.

103040434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250960 (or 4250954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103040434320 its reverse (23434040301), we get a palindrome (126474474621).

The spelling of 103040434320 in words is "one hundred three billion, forty million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 4250843 8501686 12752529 17003372 21254215 25505058 34006744 42508430 51010116 63762645 68013488 85016860 102020232 127525290 170033720 204040464 255050580 340067440 429335143 510101160 858670286 1020202320 1288005429 1717340572 2146675715 2576010858 3434681144 4293351430 5152021716 6440027145 6869362288 8586702860 10304043432 12880054290 17173405720 20608086864 25760108580 34346811440 51520217160 103040434320