Search a number
-
+
120301130310 = 23541271360907
BaseRepresentation
bin111000000001010000…
…0011001001001000110
3102111111222210121121220
41300002200121021012
53432334042132220
6131133210421210
711456113510224
oct1600240311106
9374458717556
10120301130310
1147023940849
121b394731806
13b4626bc79a
145b73331b14
1531e1639540
hex1c02819246

120301130310 has 64 divisors (see below), whose sum is σ = 296856935424. Its totient is φ = 31182278400.

The previous prime is 120301130293. The next prime is 120301130329. The reversal of 120301130310 is 13031103021.

It is a super-2 number, since 2×1203011303102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120301130310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152877 + ... + 513783.

It is an arithmetic number, because the mean of its divisors is an integer number (4638389616).

Almost surely, 2120301130310 is an apocalyptic number.

120301130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120301130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428467712).

120301130310 is an abundant number, since it is smaller than the sum of its proper divisors (176555805114).

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

120301130310 is a wasteful number, since it uses less digits than its factorization.

120301130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361229.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 120301130310 its reverse (13031103021), we get a palindrome (133332233331).

It can be divided in two parts, 1203011 and 30310, that added together give a palindrome (1233321).

The spelling of 120301130310 in words is "one hundred twenty billion, three hundred one million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 111110 166665 333330 360907 721814 1082721 1804535 2165442 3609070 5413605 10827210 14797187 29594374 44391561 73985935 88783122 97805797 147971870 195611594 221957805 293417391 443915610 489028985 586834782 978057970 1467086955 2934173910 4010037677 8020075354 12030113031 20050188385 24060226062 40100376770 60150565155 120301130310