Search a number
-
+
103042535250 = 2353315777681
BaseRepresentation
bin101111111110111010…
…0000100111101010010
3100211222012201010222110
41133331310010331102
53142012342112000
6115200451050150
710305330045444
oct1377564047522
9324865633873
10103042535250
113a777908946
1217b788a0956
139941c67765
144db717a494
152a313d1850
hex17fdd04f52

103042535250 has 128 divisors (see below), whose sum is σ = 265985501184. Its totient is φ = 26542080000.

The previous prime is 103042535237. The next prime is 103042535357. The reversal of 103042535250 is 52535240301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13411410 + ... + 13419090.

It is an arithmetic number, because the mean of its divisors is an integer number (2078011728).

Almost surely, 2103042535250 is an apocalyptic number.

103042535250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103042535250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132992750592).

103042535250 is an abundant number, since it is smaller than the sum of its proper divisors (162942965934).

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

103042535250 is a wasteful number, since it uses less digits than its factorization.

103042535250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 103042535250 its reverse (52535240301), we get a palindrome (155577775551).

The spelling of 103042535250 in words is "one hundred three billion, forty-two million, five hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 577 750 775 930 1154 1550 1731 2325 2885 3462 3875 4650 5770 7681 7750 8655 11625 14425 15362 17310 17887 23043 23250 28850 35774 38405 43275 46086 53661 72125 76810 86550 89435 107322 115215 144250 178870 192025 216375 230430 238111 268305 384050 432750 447175 476222 536610 576075 714333 894350 960125 1152150 1190555 1341525 1428666 1920250 2235875 2381110 2683050 2880375 3571665 4431937 4471750 5760750 5952775 6707625 7143330 8863874 11905550 13295811 13415250 17858325 22159685 26591622 29763875 35716650 44319370 59527750 66479055 89291625 110798425 132958110 137390047 178583250 221596850 274780094 332395275 412170141 553992125 664790550 686950235 824340282 1107984250 1373900470 1661976375 2060850705 3323952750 3434751175 4121701410 6869502350 10304253525 17173755875 20608507050 34347511750 51521267625 103042535250