Search a number
-
+
120311303130045 = 3258219221353161
BaseRepresentation
bin11011010110110000101000…
…011111000100101110111101
3120202222122111120112120011200
4123112300220133010232331
5111232140022100130140
61103514125531210113
734225130151136446
oct3326605037045675
9522878446476150
10120311303130045
11353758121203a5
12115b1177ba6939
1352193cbc085c1
14219d15342c2cd
15dd988e2d0030
hex6d6c287c4bbd

120311303130045 has 48 divisors (see below), whose sum is σ = 208816833451824. Its totient is φ = 64080740736000.

The previous prime is 120311303130037. The next prime is 120311303130079. The reversal of 120311303130045 is 540031303113021.

120311303130045 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 11 + 303 + 1 + 300 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8979725431161 + 111331577698884 = 2996619^2 + 10551378^2 .

It is not a de Polignac number, because 120311303130045 - 23 = 120311303130037 is a prime.

It is a congruent number.

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, 340493265 + ... + 340846425.

It is an arithmetic number, because the mean of its divisors is an integer number (4350350696913).

Almost surely, 2120311303130045 is an apocalyptic number.

120311303130045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120311303130045 is a deficient number, since it is larger than the sum of its proper divisors (88505530321779).

120311303130045 is a wasteful number, since it uses less digits than its factorization.

120311303130045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363214 (or 363211 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 120311303130045 its reverse (540031303113021), we get a palindrome (660342606243066).

The spelling of 120311303130045 in words is "one hundred twenty trillion, three hundred eleven billion, three hundred three million, one hundred thirty thousand, forty-five".

Divisors: 1 3 5 9 15 45 821 2463 4105 7389 9221 12315 27663 36945 46105 82989 138315 353161 414945 1059483 1765805 3178449 5297415 7570441 15892245 22711323 37852205 68133969 113556615 289945181 340669845 869835543 1449725905 2609506629 3256497581 4349177715 9769492743 13047533145 16282487905 29308478229 48847463715 146542391145 2673584514001 8020753542003 13367922570005 24062260626009 40103767710015 120311303130045