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124132110210042 = 231113147333033419
BaseRepresentation
bin11100001110010111000010…
…010101011001001111111010
3121021111220200012010202110220
4130032113002111121033322
5112232240030203210132
61120001300523120510
735101151260354434
oct3416270225311772
9537456605122426
10124132110210042
1136609150106a50
1211b09774673136
1354357b935110c
142292051c21654
15e53e63856a2c
hex70e5c25593fa

124132110210042 has 64 divisors (see below), whose sum is σ = 272958877002240. Its totient is φ = 37320748337600.

The previous prime is 124132110210029. The next prime is 124132110210067. The reversal of 124132110210042 is 240012011231421.

124132110210042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 124132110209994 and 124132110210021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39404809 + ... + 42438227.

It is an arithmetic number, because the mean of its divisors is an integer number (4264982453160).

Almost surely, 2124132110210042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124132110210042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136479438501120).

124132110210042 is an abundant number, since it is smaller than the sum of its proper divisors (148826766792198).

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

124132110210042 is a wasteful number, since it uses less digits than its factorization.

124132110210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038299.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 124132110210042 its reverse (240012011231421), we get a palindrome (364144121441463).

The spelling of 124132110210042 in words is "one hundred twenty-four trillion, one hundred thirty-two billion, one hundred ten million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 2882 4323 4733 8646 9466 14199 28398 52063 104126 156189 312378 620023 1240046 1860069 3033419 3720138 6066838 6820253 9100257 13640506 18200514 20460759 33367609 40921518 66735218 100102827 200205654 397377889 794755778 1192133667 2384267334 4371156779 8742313558 13113470337 14357172127 26226940674 28714344254 43071516381 86143032762 157928893397 315857786794 473786680191 947573360382 1880789548637 3761579097274 5642368645911 11284737291822 20688685035007 41377370070014 62066055105021 124132110210042