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145313100 = 223252161459
BaseRepresentation
bin10001010100101…
…00110101001100
3101010102200002200
420222110311030
5244200004400
622230321500
73413066232
oct1052246514
9333380080
10145313100
1175030979
12407b9290
132414a7aa
1415428952
15cb55b00
hex8a94d4c

145313100 has 54 divisors (see below), whose sum is σ = 455478660. Its totient is φ = 38749920.

The previous prime is 145313099. The next prime is 145313101. The reversal of 145313100 is 1313541.

It is an interprime number because it is at equal distance from previous prime (145313099) and next prime (145313101).

It is a super-2 number, since 2×1453131002 = 42231794063220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (145313101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79830 + ... + 81629.

It is an arithmetic number, because the mean of its divisors is an integer number (8434790).

Almost surely, 2145313100 is an apocalyptic number.

145313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145313100 is an abundant number, since it is smaller than the sum of its proper divisors (310165560).

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

145313100 is a wasteful number, since it uses less digits than its factorization.

145313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161479 (or 161469 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 145313100 is about 12054.5883380562. The cubic root of 145313100 is about 525.7366529579.

Adding to 145313100 its reverse (1313541), we get a palindrome (146626641).

The spelling of 145313100 in words is "one hundred forty-five million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 161459 322918 484377 645836 807295 968754 1453131 1614590 1937508 2421885 2906262 3229180 4036475 4843770 5812524 7265655 8072950 9687540 12109425 14531310 16145900 24218850 29062620 36328275 48437700 72656550 145313100