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105334740500 = 22531119151771
BaseRepresentation
bin110001000011001110…
…0001001011000010100
3101001212221220020110012
41202012130021120110
53211211143144000
6120220133015352
710416202343543
oct1420634113024
9331787806405
10105334740500
1140743795650
12184b8484558
139c18b10a22
14515377a15a
152b17763735
hex1886709614

105334740500 has 48 divisors (see below), whose sum is σ = 250964820288. Its totient is φ = 38303540000.

The previous prime is 105334740491. The next prime is 105334740517. The reversal of 105334740500 is 5047433501.

105334740500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053347405002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9570386 + ... + 9581385.

It is an arithmetic number, because the mean of its divisors is an integer number (5228433756).

Almost surely, 2105334740500 is an apocalyptic number.

105334740500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105334740500 is an abundant number, since it is smaller than the sum of its proper divisors (145630079788).

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

105334740500 is a wasteful number, since it uses less digits than its factorization.

105334740500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19151801 (or 19151789 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 105334740500 in words is "one hundred five billion, three hundred thirty-four million, seven hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 19151771 38303542 76607084 95758855 191517710 210669481 383035420 421338962 478794275 842677924 957588550 1053347405 1915177100 2106694810 2393971375 4213389620 4787942750 5266737025 9575885500 10533474050 21066948100 26333685125 52667370250 105334740500