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20411441121330 = 2335758011861697
BaseRepresentation
bin1001010010000011010001…
…01100101000100000110010
32200021022111102112001121000
410221001220230220200302
510133410112411340310
6111224515301142430
74204451352605520
oct451015054504062
980238442461530
1020411441121330
11655a49742a206
122357a5a3baa16
13b50a3805804c
14507cc1b1b310
15255e35e064c0
hex129068b28832

20411441121330 has 128 divisors (see below), whose sum is σ = 62217053544960. Its totient is φ = 4664665497600.

The previous prime is 20411441121301. The next prime is 20411441121359. The reversal of 20411441121330 is 3312114411402.

It is a happy number.

20411441121330 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 4 + 411 + 213 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (20411441121301) and next prime (20411441121359).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20411441121294 and 20411441121303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10033042 + ... + 11894738.

It is an arithmetic number, because the mean of its divisors is an integer number (486070730820).

Almost surely, 220411441121330 is an apocalyptic number.

20411441121330 is an abundant number, since it is smaller than the sum of its proper divisors (41805612423630).

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

20411441121330 is a wasteful number, since it uses less digits than its factorization.

20411441121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867521 (or 1867515 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20411441121330 its reverse (3312114411402), we get a palindrome (23723555532732).

The spelling of 20411441121330 in words is "twenty trillion, four hundred eleven billion, four hundred forty-one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5801 11602 17403 29005 34806 40607 52209 58010 81214 87015 104418 121821 156627 174030 203035 243642 261045 313254 365463 406070 522090 609105 730926 783135 1096389 1218210 1566270 1827315 1861697 2192778 3654630 3723394 5481945 5585091 9308485 10963890 11170182 13031879 16755273 18616970 26063758 27925455 33510546 39095637 50265819 55850910 65159395 78191274 83776365 100531638 117286911 130318790 167552730 195478185 234573822 251329095 351860733 390956370 502658190 586434555 703721466 1172869110 1759303665 3518607330 10799704297 21599408594 32399112891 53998521485 64798225782 75597930079 97197338673 107997042970 151195860158 161995564455 194394677346 226793790237 291592016019 323991128910 377989650395 453587580474 485986693365 583184032038 680381370711 755979300790 971973386730 1133968951185 1360762741422 1457960080095 2041144112133 2267937902370 2915920160190 3401906853555 4082288224266 6803813707110 10205720560665 20411441121330