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120042404313 = 3133199290657
BaseRepresentation
bin110111111001100010…
…1011011100111011001
3102110211221221222021120
41233303011123213121
53431321323414223
6131051405155453
711446522413066
oct1576305334731
9373757858246
10120042404313
1146a00898107
121b321b5bb89
13b420c13390
145b4ac23c6d
1531c8a7ebe3
hex1bf315b9d9

120042404313 has 16 divisors (see below), whose sum is σ = 177928859136. Its totient is φ = 71489272320.

The previous prime is 120042404227. The next prime is 120042404353. The reversal of 120042404313 is 313404240021.

It is not a de Polignac number, because 120042404313 - 213 = 120042396121 is a prime.

It is a super-2 number, since 2×1200424043132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120042404353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49644120 + ... + 49646537.

It is an arithmetic number, because the mean of its divisors is an integer number (11120553696).

Almost surely, 2120042404313 is an apocalyptic number.

120042404313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120042404313 is a deficient number, since it is larger than the sum of its proper divisors (57886454823).

120042404313 is a wasteful number, since it uses less digits than its factorization.

120042404313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99290704.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120042404313 its reverse (313404240021), we get a palindrome (433446644334).

The spelling of 120042404313 in words is "one hundred twenty billion, forty-two million, four hundred four thousand, three hundred thirteen".

Divisors: 1 3 13 31 39 93 403 1209 99290657 297871971 1290778541 3078010367 3872335623 9234031101 40014134771 120042404313