Search a number
-
+
103534340520 = 23351366368167
BaseRepresentation
bin110000001101100100…
…0001010100110101000
3100220020111010102222110
41200123020022212220
53144014242344040
6115321340122320
710323451242162
oct1403310124650
9326214112873
10103534340520
113a9aa488486
12180955363a0
1399bcb108b0
1450225db932
152a5e67b980
hex181b20a9a8

103534340520 has 64 divisors (see below), whose sum is σ = 334495566720. Its totient is φ = 25485375744.

The previous prime is 103534340509. The next prime is 103534340521. The reversal of 103534340520 is 25043435301.

It is a super-2 number, since 2×1035343405202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103534340521) 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, 33182524 + ... + 33185643.

It is an arithmetic number, because the mean of its divisors is an integer number (5226493230).

Almost surely, 2103534340520 is an apocalyptic number.

103534340520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103534340520 is an abundant number, since it is smaller than the sum of its proper divisors (230961226200).

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

103534340520 is a wasteful number, since it uses less digits than its factorization.

103534340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66368194 (or 66368190 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 103534340520 its reverse (25043435301), we get a palindrome (128577775821).

The spelling of 103534340520 in words is "one hundred three billion, five hundred thirty-four million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 66368167 132736334 199104501 265472668 331840835 398209002 530945336 663681670 796418004 862786171 995522505 1327363340 1592836008 1725572342 1991045010 2588358513 2654726680 3451144684 3982090020 4313930855 5176717026 6902289368 7964180040 8627861710 10353434052 12941792565 17255723420 20706868104 25883585130 34511446840 51767170260 103534340520