Search a number
-
+
1120420120300 = 22521317419120997
BaseRepresentation
bin10000010011011110001…
…111100100011011101100
310222010000000010100200121
4100103132033210123230
5121324110022322200
62214414111334324
7143643024612655
oct20233617443354
93863000110617
101120420120300
113a2192a48678
1216118a5213a4
138186951a5b0
143c32b4b052c
151e228556e1a
hex104de3e46ec

1120420120300 has 144 divisors (see below), whose sum is σ = 2778994945440. Its totient is φ = 388426199040.

The previous prime is 1120420120297. The next prime is 1120420120403. The reversal of 1120420120300 is 30210240211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9199402 + ... + 9320398.

It is an arithmetic number, because the mean of its divisors is an integer number (19298576010).

Almost surely, 21120420120300 is an apocalyptic number.

1120420120300 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 1120420120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389497472720).

1120420120300 is an abundant number, since it is smaller than the sum of its proper divisors (1658574825140).

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

1120420120300 is a wasteful number, since it uses less digits than its factorization.

1120420120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121460 (or 121453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1120420120300 its reverse (30210240211), we get a palindrome (1150630360511).

The spelling of 1120420120300 in words is "one trillion, one hundred twenty billion, four hundred twenty million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 419 425 442 650 838 850 884 1105 1300 1676 1700 2095 2210 4190 4420 5447 5525 7123 8380 10475 10894 11050 14246 20950 21788 22100 27235 28492 35615 41900 54470 71230 92599 108940 120997 136175 142460 178075 185198 241994 272350 356150 370396 462995 483988 544700 604985 712300 925990 1209970 1572961 1851980 2056949 2314975 2419940 3024925 3145922 4113898 4629950 6049850 6291844 7864805 8227796 9259900 10284745 12099700 15729610 20569490 26740337 31459220 39324025 41138980 50697743 51423725 53480674 78648050 101395486 102847450 106961348 133701685 157296100 202790972 205694900 253488715 267403370 506977430 534806740 659070659 668508425 861861631 1013954860 1267443575 1318141318 1337016850 1723723262 2534887150 2636282636 2674033700 3295353295 3447446524 4309308155 5069774300 6590706590 8618616310 11204201203 13181413180 16476766475 17237232620 21546540775 22408402406 32953532950 43093081550 44816804812 56021006015 65907065900 86186163100 112042012030 224084024060 280105030075 560210060150 1120420120300