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145312100 = 225210631367
BaseRepresentation
bin10001010100101…
…00100101100100
3101010102121201122
420222110211210
5244144441400
622230313112
73413063303
oct1052244544
9333377648
10145312100
117503014a
12407b8798
132414a1bb
141542843a
15cb55685
hex8a94964

145312100 has 36 divisors (see below), whose sum is σ = 315854784. Its totient is φ = 58027680.

The previous prime is 145312067. The next prime is 145312157. The reversal of 145312100 is 1213541.

It is a super-2 number, since 2×1453121002 = 42231212812820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105617 + ... + 106983.

It is an arithmetic number, because the mean of its divisors is an integer number (8773744).

Almost surely, 2145312100 is an apocalyptic number.

145312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145312100 is an abundant number, since it is smaller than the sum of its proper divisors (170542684).

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

145312100 is a wasteful number, since it uses less digits than its factorization.

145312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 145312100 is about 12054.5468600027. The cubic root of 145312100 is about 525.7354469692.

Adding to 145312100 its reverse (1213541), we get a palindrome (146525641).

The spelling of 145312100 in words is "one hundred forty-five million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1063 1367 2126 2734 4252 5315 5468 6835 10630 13670 21260 26575 27340 34175 53150 68350 106300 136700 1453121 2906242 5812484 7265605 14531210 29062420 36328025 72656050 145312100