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124203000042 = 2321117253914533
BaseRepresentation
bin111001110101100010…
…0110110000011101010
3102212120220212010122200
41303223010312003222
54013331432000132
6133020313201030
711654603036562
oct1635304660352
9385526763580
10124203000042
11487463a0280
12200a3400176
13b934ba3744
14602361dda2
15336de78d7c
hex1ceb1360ea

124203000042 has 96 divisors (see below), whose sum is σ = 310983416640. Its totient is φ = 35406927360.

The previous prime is 124203000041. The next prime is 124203000049. The reversal of 124203000042 is 240000302421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124202999979 and 124203000024.

It is not an unprimeable number, because it can be changed into a prime (124203000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8539008 + ... + 8553540.

It is an arithmetic number, because the mean of its divisors is an integer number (3239410590).

Almost surely, 2124203000042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124203000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155491708320).

124203000042 is an abundant number, since it is smaller than the sum of its proper divisors (186780416598).

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

124203000042 is a wasteful number, since it uses less digits than its factorization.

124203000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17108 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 124203000042 its reverse (240000302421), we get a palindrome (364203302463).

The spelling of 124203000042 in words is "one hundred twenty-four billion, two hundred three million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 2539 3366 5078 7617 14533 15234 22851 27929 29066 43163 43599 45702 55858 83787 86326 87198 129489 130797 159863 167574 247061 251361 258978 261594 319726 388467 474793 479589 494122 502722 741183 776934 949586 959178 1424379 1438767 1482366 2223549 2717671 2848758 2877534 4273137 4447098 5435342 8153013 8546274 16306026 24459039 36899287 48918078 73798574 110697861 221395722 332093583 405892157 627287879 664187166 811784314 1217676471 1254575758 1881863637 2435352942 3653029413 3763727274 5645590911 6900166669 7306058826 11291181822 13800333338 20700500007 41401000014 62101500021 124203000042