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103040040420 = 223251015667769
BaseRepresentation
bin101111111110110101…
…0100011110111100100
3100211222001000101201100
41133331222203313210
53142011222243140
6115200321400100
710305266615052
oct1377552436744
9324861011640
10103040040420
113a7764644a9
1217b77a99030
1399415a3025
144db6acb1d2
152a3108c530
hex17fdaa3de4

103040040420 has 72 divisors (see below), whose sum is σ = 315649446840. Its totient is φ = 27205286400.

The previous prime is 103040040403. The next prime is 103040040487. The reversal of 103040040420 is 24040040301.

It can be written as a sum of positive squares in 4 ways, for example, as 52068850596 + 50971189824 = 228186^2 + 225768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103040040393 and 103040040402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2815705 + ... + 2852064.

It is an arithmetic number, because the mean of its divisors is an integer number (4384020095).

Almost surely, 2103040040420 is an apocalyptic number.

103040040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040040420 is an abundant number, since it is smaller than the sum of its proper divisors (212609406420).

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

103040040420 is a wasteful number, since it uses less digits than its factorization.

103040040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667885 (or 5667880 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103040040420 its reverse (24040040301), we get a palindrome (127080080721).

The spelling of 103040040420 in words is "one hundred three billion, forty million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 5667769 11335538 17003307 22671076 28338845 34006614 51009921 56677690 68013228 85016535 102019842 113355380 170033070 204039684 255049605 340066140 510099210 572444669 1020198420 1144889338 1717334007 2289778676 2862223345 3434668014 5152002021 5724446690 6869336028 8586670035 10304004042 11448893380 17173340070 20608008084 25760010105 34346680140 51520020210 103040040420