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145000100 = 22527359577
BaseRepresentation
bin10001010010010…
…00011010100100
3101002211202202002
420221020122210
5244110000400
622215504432
73410323550
oct1051103244
9332752662
10145000100
11749377a3
1240688118
132406b19b
1415386860
15cae2ed5
hex8a486a4

145000100 has 72 divisors (see below), whose sum is σ = 361226880. Its totient is φ = 49489920.

The previous prime is 145000099. The next prime is 145000117. The reversal of 145000100 is 1000541.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251012 + ... + 251588.

It is an arithmetic number, because the mean of its divisors is an integer number (5017040).

Almost surely, 2145000100 is an apocalyptic number.

145000100 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 145000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180613440).

145000100 is an abundant number, since it is smaller than the sum of its proper divisors (216226780).

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

145000100 is a wasteful number, since it uses less digits than its factorization.

145000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 145000100 is about 12041.5987310656. The cubic root of 145000100 is about 525.3589080214.

Adding to 145000100 its reverse (1000541), we get a palindrome (146000641).

The spelling of 145000100 in words is "one hundred forty-five million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 359 577 700 718 1154 1436 1795 2308 2513 2885 3590 4039 5026 5770 7180 8078 8975 10052 11540 12565 14425 16156 17950 20195 25130 28850 35900 40390 50260 57700 62825 80780 100975 125650 201950 207143 251300 403900 414286 828572 1035715 1450001 2071430 2900002 4142860 5178575 5800004 7250005 10357150 14500010 20714300 29000020 36250025 72500050 145000100