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123034404420 = 223251016767569
BaseRepresentation
bin111001010010101101…
…1000000011001000100
3102202120110221022211100
41302211123000121010
54003433301420140
6132304330140100
711613623116344
oct1624533003104
9382513838740
10123034404420
11481a6794074
121ba17b81630
13b7a9a56545
145d52346d24
153301593530
hex1ca56c0644

123034404420 has 72 divisors (see below), whose sum is σ = 376899508440. Its totient is φ = 32484326400.

The previous prime is 123034404397. The next prime is 123034404431. The reversal of 123034404420 is 24404430321.

It is a happy number.

123034404420 is a `hidden beast` number, since 1 + 230 + 3 + 4 + 4 + 0 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84178898496 + 38855505924 = 290136^2 + 197118^2 .

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, 3365605 + ... + 3401964.

It is an arithmetic number, because the mean of its divisors is an integer number (5234715395).

Almost surely, 2123034404420 is an apocalyptic number.

123034404420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123034404420 is an abundant number, since it is smaller than the sum of its proper divisors (253865104020).

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

123034404420 is a wasteful number, since it uses less digits than its factorization.

123034404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767685 (or 6767680 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 123034404420 its reverse (24404430321), we get a palindrome (147438834741).

The spelling of 123034404420 in words is "one hundred twenty-three billion, thirty-four million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 6767569 13535138 20302707 27070276 33837845 40605414 60908121 67675690 81210828 101513535 121816242 135351380 203027070 243632484 304540605 406054140 609081210 683524469 1218162420 1367048938 2050573407 2734097876 3417622345 4101146814 6151720221 6835244690 8202293628 10252867035 12303440442 13670489380 20505734070 24606880884 30758601105 41011468140 61517202210 123034404420