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2124202442130 = 232589768734499
BaseRepresentation
bin11110111010010100010…
…101001111110110010010
321112001221022122122022100
4132322110111033312102
5234300331311122010
64303502314221230
7306316500562236
oct36722425176622
97461838578270
102124202442130
1174996199a97a
122a3827124816
131254082a0b92
1474b51da65c6
153a3c6d962c0
hex1ee9454fd92

2124202442130 has 96 divisors (see below), whose sum is σ = 5585870160000. Its totient is φ = 560000238336.

The previous prime is 2124202442129. The next prime is 2124202442179. The reversal of 2124202442130 is 312442024212.

It is a happy number.

2124202442130 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 202 + 4 + 421 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2124202442094 and 2124202442103.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61555621 + ... + 61590119.

It is an arithmetic number, because the mean of its divisors is an integer number (58186147500).

Almost surely, 22124202442130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124202442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792935080000).

2124202442130 is an abundant number, since it is smaller than the sum of its proper divisors (3461667717870).

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

2124202442130 is a wasteful number, since it uses less digits than its factorization.

2124202442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42288 (or 42285 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2124202442130 its reverse (312442024212), we get a palindrome (2436644466342).

The spelling of 2124202442130 in words is "two trillion, one hundred twenty-four billion, two hundred two million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 7687 8010 15374 23061 34499 38435 46122 68998 69183 76870 103497 115305 138366 172495 206994 230610 310491 344990 345915 517485 620982 684143 691830 1034970 1368286 1552455 2052429 3070411 3104910 3420715 4104858 6140822 6157287 6841430 9211233 10262145 12314574 15352055 18422466 20524290 27633699 30704110 30786435 46056165 55267398 61572870 92112330 138168495 265193813 276336990 530387626 795581439 1325969065 1591162878 2386744317 2651938130 3977907195 4773488634 7955814390 11933721585 23602249357 23867443170 47204498714 70806748071 118011246785 141613496142 212420244213 236022493570 354033740355 424840488426 708067480710 1062101221065 2124202442130