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212022312103030 = 251113719721528583
BaseRepresentation
bin110000001101010101001010…
…100110001110110001110110
31000210201010122110212102201011
4300031111022212032301312
5210242233143344244110
62030533412221222434
762442051355144222
oct6015251246166166
91023633573772634
10212022312103030
1161614180854420
121b943417401a1a
13913c8063783a0
143a4dd129c7782
15197a2c0bdd48a
hexc0d54a98ec76

212022312103030 has 128 divisors (see below), whose sum is σ = 459362802640896. Its totient is φ = 69442594099200.

The previous prime is 212022312102989. The next prime is 212022312103057. The reversal of 212022312103030 is 30301213220212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212022312102992 and 212022312103010.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 915882 + ... + 20612701.

It is an arithmetic number, because the mean of its divisors is an integer number (3588771895632).

Almost surely, 2212022312103030 is an apocalyptic number.

212022312103030 is an abundant number, since it is smaller than the sum of its proper divisors (247340490537866).

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

212022312103030 is a wasteful number, since it uses less digits than its factorization.

212022312103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528782.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212022312103030 its reverse (30301213220212), we get a palindrome (242323525323242).

The spelling of 212022312103030 in words is "two hundred twelve trillion, twenty-two billion, three hundred twelve million, one hundred three thousand, thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 71 97 110 130 142 143 194 286 355 485 710 715 781 923 970 1067 1261 1430 1562 1846 2134 2522 3905 4615 5335 6305 6887 7810 9230 10153 10670 12610 13774 13871 20306 27742 34435 50765 68870 69355 75757 89531 101530 138710 151514 179062 378785 447655 757570 895310 984841 1969682 4924205 9848410 21528583 43057166 107642915 215285830 236814413 279871579 473628826 559743158 1184072065 1399357895 1528529393 2088272551 2368144130 2798715790 3057058786 3078587369 4176545102 6157174738 7642646965 10441362755 15285293930 15392936845 16813823323 19870882109 20882725510 22970998061 27147543163 30785873690 33627646646 39741764218 45941996122 54295086326 84069116615 99354410545 114854990305 135737715815 148267351121 168138233230 198708821090 218579703199 229709980610 271475431630 296534702242 298622974793 437159406398 597245949586 741336755605 1092898515995 1482673511210 1493114873965 1630940862331 1927475564573 2185797031990 2986229747930 3261881724662 3854951129146 8154704311655 9637377822865 16309408623310 19274755645730 21202231210303 42404462420606 106011156051515 212022312103030