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145413020130 = 2357961971987
BaseRepresentation
bin1000011101101101001…
…0101001100111100010
3111220100002020210102020
42013123102221213202
54340301213121010
6150445105402310
713335320164050
oct2073322514742
9456302223366
10145413020130
115673a94a2a4
1224222639396
13109351705a1
1470764c31d0
153bb105e470
hex21db4a99e2

145413020130 has 64 divisors (see below), whose sum is σ = 398894146560. Its totient is φ = 33233344704.

The previous prime is 145413020113. The next prime is 145413020141. The reversal of 145413020130 is 31020314541.

It is a happy number.

145413020130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454130201302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145413020130.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1983997 + ... + 2055983.

It is an arithmetic number, because the mean of its divisors is an integer number (6232721040).

Almost surely, 2145413020130 is an apocalyptic number.

145413020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145413020130 is an abundant number, since it is smaller than the sum of its proper divisors (253481126430).

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

145413020130 is a wasteful number, since it uses less digits than its factorization.

145413020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81623.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 145413020130 its reverse (31020314541), we get a palindrome (176433334671).

The spelling of 145413020130 in words is "one hundred forty-five billion, four hundred thirteen million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 9619 19238 28857 48095 57714 67333 71987 96190 134666 143974 144285 201999 215961 288570 336665 359935 403998 431922 503909 673330 719870 1007818 1009995 1079805 1511727 2019990 2159610 2519545 3023454 5039090 7558635 15117270 692442953 1384885906 2077328859 3462214765 4154657718 4847100671 6924429530 9694201342 10386644295 14541302013 20773288590 24235503355 29082604026 48471006710 72706510065 145413020130