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145530322300 = 225211433076751
BaseRepresentation
bin1000011110001001001…
…0000111110101111100
3111220122020222100202001
42013202102013311330
54341021230303200
6150504455512044
713341243220636
oct2074222076574
9456566870661
10145530322300
11567a0089140
1224255988624
131095356155c
147087cd9a56
153bbb4d076a
hex21e2487d7c

145530322300 has 72 divisors (see below), whose sum is σ = 352521937152. Its totient is φ = 51689400000.

The previous prime is 145530322253. The next prime is 145530322309. The reversal of 145530322300 is 3223035541.

145530322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145530322309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491076 + ... + 1585675.

It is an arithmetic number, because the mean of its divisors is an integer number (4896138016).

Almost surely, 2145530322300 is an apocalyptic number.

145530322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145530322300 is an abundant number, since it is smaller than the sum of its proper divisors (206991614852).

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

145530322300 is a wasteful number, since it uses less digits than its factorization.

145530322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076819 (or 3076812 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 145530322300 its reverse (3223035541), we get a palindrome (148753357841).

The spelling of 145530322300 in words is "one hundred forty-five billion, five hundred thirty million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 47300 3076751 6153502 12307004 15383755 30767510 33844261 61535020 67688522 76918775 132300293 135377044 153837550 169221305 264600586 307675100 338442610 529201172 661501465 676885220 846106525 1323002930 1455303223 1692213050 2646005860 2910606446 3307507325 3384426100 5821212892 6615014650 7276516115 13230029300 14553032230 29106064460 36382580575 72765161150 145530322300