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2122120042130 = 25113110722432593
BaseRepresentation
bin11110111000011000001…
…101100001011010010010
321111212120012020202112102
4132320120031201122102
5234232100212322010
64302515525200402
7306214053510224
oct36703015413222
97455505222472
102122120042130
11748a93492a40
122a3345860102
13125165a35c2a
14749d55bc414
153a304158ba5
hex1ee18361692

2122120042130 has 128 divisors (see below), whose sum is σ = 4345305440256. Its totient is φ = 739192780800.

The previous prime is 2122120042123. The next prime is 2122120042139. The reversal of 2122120042130 is 312400212212.

It is a super-3 number, since 3×21221200421303 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122120042139) 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 63 ways as a sum of consecutive naturals, for example, 818402114 + ... + 818404706.

It is an arithmetic number, because the mean of its divisors is an integer number (33947698752).

Almost surely, 22122120042130 is an apocalyptic number.

2122120042130 is an abundant number, since it is smaller than the sum of its proper divisors (2223185398126).

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

2122120042130 is a wasteful number, since it uses less digits than its factorization.

2122120042130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2122120042130 its reverse (312400212212), we get a palindrome (2434520254342).

The spelling of 2122120042130 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, forty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 107 110 155 214 310 341 535 682 1070 1177 1705 2243 2354 2593 3317 3410 4486 5186 5885 6634 11215 11770 12965 16585 22430 24673 25930 28523 33170 36487 49346 57046 69533 72974 80383 123365 139066 142615 160766 182435 240001 246730 277451 285230 347665 364870 401915 480002 554902 695330 764863 803830 884213 1200005 1387255 1529726 1768426 2400010 2640011 2774510 3051961 3824315 4421065 5280022 5816099 6103922 7440031 7648630 8600981 8842130 11632198 13200055 14880062 15259805 17201962 26400110 29080495 30519610 37200155 43004905 58160990 63977089 74400310 81840341 86009810 94610791 127954178 163680682 180299069 189221582 319885445 360598138 409201705 473053955 622322593 639770890 818403410 901495345 946107910 1244645186 1802990690 1983289759 3111612965 3966579518 6223225930 6845548523 9916448795 13691097046 19292000383 19832897590 34227742615 38584000766 68455485230 96460001915 192920003830 212212004213 424424008426 1061060021065 2122120042130