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123424001124030 = 23354117183648863
BaseRepresentation
bin11100000100000011100011…
…101111100110011010111110
3121012000012220211222002222000
4130010003203233212122332
5112134134323241432110
61114300111532003130
734666042543423635
oct3404034357463276
9535005824862860
10123424001124030
1136365908a82a82
1211a144943004a6
1353b3aaab98a39
142269a7997851c
15e4081c9071c0
hex7040e3be66be

123424001124030 has 128 divisors (see below), whose sum is σ = 337178388234240. Its totient is φ = 32108391025920.

The previous prime is 123424001124001. The next prime is 123424001124037. The reversal of 123424001124030 is 30421100424321.

123424001124030 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 400 + 11 + 240 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123424001123985 and 123424001124003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123424001124037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189891379 + ... + 190540241.

It is an arithmetic number, because the mean of its divisors is an integer number (2634206158080).

Almost surely, 2123424001124030 is an apocalyptic number.

123424001124030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123424001124030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168589194117120).

123424001124030 is an abundant number, since it is smaller than the sum of its proper divisors (213754387110210).

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

123424001124030 is a wasteful number, since it uses less digits than its factorization.

123424001124030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666103 (or 666097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123424001124030 its reverse (30421100424321), we get a palindrome (153845101548351).

The spelling of 123424001124030 in words is "one hundred twenty-three trillion, four hundred twenty-four billion, one million, one hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 17183 34366 51549 85915 103098 154647 171830 257745 309294 463941 515490 648863 704503 773235 927882 1297726 1409006 1546470 1946589 2113509 2319705 3244315 3522515 3893178 4227018 4639410 5839767 6340527 6488630 7045030 9732945 10567545 11679534 12681054 17519301 19021581 19465890 21135090 26603383 29198835 31702635 35038602 38043162 53206766 58397670 63405270 79810149 87596505 95107905 133016915 159620298 175193010 190215810 239430447 266033830 399050745 478860894 718291341 798101490 1197152235 1436582682 2394304470 3591456705 7182913410 11149412929 22298825858 33448238787 55747064645 66896477574 100344716361 111494129290 167241193935 200689432722 301034149083 334482387870 457125930089 501723581805 602068298166 914251860178 1003447163610 1371377790267 1505170745415 2285629650445 2742755580534 3010341490830 4114133370801 4571259300890 6856888951335 8228266741602 12342400112403 13713777902670 20570666854005 24684800224806 41141333708010 61712000562015 123424001124030