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1030120330300 = 225229558163647
BaseRepresentation
bin11101111110101111111…
…01001101010000111100
310122110220212010201222221
432333113331031100330
5113334141301032200
62105121501415124
7134265225223045
oct16772775152074
93573825121887
101030120330300
11367965086956
1214778926a4a4
13761a8571ca9
1437c028558cc
151bbe0c0d91a
hexefd7f4d43c

1030120330300 has 72 divisors (see below), whose sum is σ = 2312893215360. Its totient is φ = 397762041600.

The previous prime is 1030120330249. The next prime is 1030120330319. The reversal of 1030120330300 is 30330210301.

It is a super-2 number, since 2×10301203303002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 16153077 + ... + 16216723.

It is an arithmetic number, because the mean of its divisors is an integer number (32123516880).

Almost surely, 21030120330300 is an apocalyptic number.

1030120330300 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 1030120330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156446607680).

1030120330300 is an abundant number, since it is smaller than the sum of its proper divisors (1282772885060).

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

1030120330300 is a wasteful number, since it uses less digits than its factorization.

1030120330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69271 (or 69264 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1030120330300 its reverse (30330210301), we get a palindrome (1060450540601).

The spelling of 1030120330300 in words is "one trillion, thirty billion, one hundred twenty million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 5581 11162 22324 27905 55810 63647 111620 127294 139525 161849 254588 279050 318235 323698 558100 636470 647396 809245 1272940 1591175 1618490 1845763 3182350 3236980 3691526 4046225 6364700 7383052 8092450 9228815 16184900 18457630 36915260 46144075 92288150 184576300 355213907 710427814 1420855628 1776069535 3552139070 7104278140 8880347675 10301203303 17760695350 20602406606 35521390700 41204813212 51506016515 103012033030 206024066060 257530082575 515060165150 1030120330300