Search a number
-
+
103108282700 = 225217509119159
BaseRepresentation
bin110000000000110111…
…0111000100101001100
3100212010210102110112012
41200001232320211030
53142131210021300
6115211200200352
710310055641123
oct1400156704514
9325123373465
10103108282700
113a800a34985
1217b969090b8
139952777787
144dc1bb2aba
152a3706c435
hex1801bb894c

103108282700 has 72 divisors (see below), whose sum is σ = 237373869600. Its totient is φ = 38740648960.

The previous prime is 103108282663. The next prime is 103108282709. The reversal of 103108282700 is 7282801301.

It is a super-2 number, since 2×1031082827002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103108282709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805721 + ... + 924879.

It is an arithmetic number, because the mean of its divisors is an integer number (3296859300).

Almost surely, 2103108282700 is an apocalyptic number.

103108282700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103108282700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118686934800).

103108282700 is an abundant number, since it is smaller than the sum of its proper divisors (134265586900).

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

103108282700 is a wasteful number, since it uses less digits than its factorization.

103108282700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119699 (or 119692 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 103108282700 in words is "one hundred three billion, one hundred eight million, two hundred eighty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 509 850 1018 1700 2036 2545 5090 8653 10180 12725 17306 25450 34612 43265 50900 86530 119159 173060 216325 238318 432650 476636 595795 865300 1191590 2025703 2383180 2978975 4051406 5957950 8102812 10128515 11915900 20257030 40514060 50642575 60651931 101285150 121303862 202570300 242607724 303259655 606519310 1031082827 1213038620 1516298275 2062165654 3032596550 4124331308 5155414135 6065193100 10310828270 20621656540 25777070675 51554141350 103108282700