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101453224500 = 22325399722613
BaseRepresentation
bin101111001111100010…
…1010101101000110100
3100200212110010210111100
41132133011111220310
53130234011141000
6114335034410100
710221051115425
oct1363705255064
9320773123440
10101453224500
113a031778191
12177b4590930
13974a9051b4
144ca606964c
15298bae4a00
hex179f155a34

101453224500 has 144 divisors (see below), whose sum is σ = 320386287312. Its totient is φ = 27025862400.

The previous prime is 101453224493. The next prime is 101453224511. The reversal of 101453224500 is 5422354101.

101453224500 is a `hidden beast` number, since 10 + 145 + 3 + 2 + 2 + 4 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18118236816 + 83334987684 = 134604^2 + 288678^2 .

It is a super-2 number, since 2×1014532245002 (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 47 ways as a sum of consecutive naturals, for example, 4475194 + ... + 4497806.

It is an arithmetic number, because the mean of its divisors is an integer number (2224904773).

Almost surely, 2101453224500 is an apocalyptic number.

101453224500 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 101453224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160193143656).

101453224500 is an abundant number, since it is smaller than the sum of its proper divisors (218933062812).

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

101453224500 is a wasteful number, since it uses less digits than its factorization.

101453224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23635 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101453224500 its reverse (5422354101), we get a palindrome (106875578601).

The spelling of 101453224500 in words is "one hundred one billion, four hundred fifty-three million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 997 1125 1500 1994 2250 2991 3988 4500 4985 5982 8973 9970 11964 14955 17946 19940 22613 24925 29910 35892 44865 45226 49850 59820 67839 74775 89730 90452 99700 113065 124625 135678 149550 179460 203517 224325 226130 249250 271356 299100 339195 373875 407034 448650 452260 498500 565325 678390 747750 814068 897300 1017585 1121625 1130650 1356780 1495500 1695975 2035170 2243250 2261300 2826625 3391950 4070340 4486500 5087925 5653250 6783900 8479875 10175850 11306500 16959750 20351700 22545161 25439625 33919500 45090322 50879250 67635483 90180644 101758500 112725805 135270966 202906449 225451610 270541932 338177415 405812898 450903220 563629025 676354830 811625796 1014532245 1127258050 1352709660 1690887075 2029064490 2254516100 2818145125 3381774150 4058128980 5072661225 5636290250 6763548300 8454435375 10145322450 11272580500 16908870750 20290644900 25363306125 33817741500 50726612250 101453224500