Search a number
-
+
2022121002120 = 233523838827139
BaseRepresentation
bin11101011011001111110…
…011011101010010001000
321011022110002102012010220
4131123033303131102020
5231112300434031440
64144541034510040
7266044020630432
oct35331763352210
97138402365126
102022121002120
1170a63865311a
12287a98295320
131188ba4a143b
146dc2a72b652
153790005d8d0
hex1d6cfcdd488

2022121002120 has 128 divisors (see below), whose sum is σ = 6406385126400. Its totient is φ = 509573022464.

The previous prime is 2022121002119. The next prime is 2022121002127. The reversal of 2022121002120 is 212001212202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022121002120.

It is not an unprimeable number, because it can be changed into a prime (2022121002127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4184490 + ... + 4642649.

It is an arithmetic number, because the mean of its divisors is an integer number (50049883800).

Almost surely, 22022121002120 is an apocalyptic number.

2022121002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022121002120 is an abundant number, since it is smaller than the sum of its proper divisors (4384264124280).

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

2022121002120 is a wasteful number, since it uses less digits than its factorization.

2022121002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827259 (or 8827255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022121002120 its reverse (212001212202), we get a palindrome (2234122214322).

The spelling of 2022121002120 in words is "two trillion, twenty-two billion, one hundred twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 83 92 115 120 138 166 184 230 249 276 332 345 415 460 498 552 664 690 830 920 996 1245 1380 1660 1909 1992 2490 2760 3320 3818 4980 5727 7636 9545 9960 11454 15272 19090 22908 28635 38180 45816 57270 76360 114540 229080 8827139 17654278 26481417 35308556 44135695 52962834 70617112 88271390 105925668 132407085 176542780 203024197 211851336 264814170 353085560 406048394 529628340 609072591 732652537 812096788 1015120985 1059256680 1218145182 1465305074 1624193576 2030241970 2197957611 2436290364 2930610148 3045362955 3663262685 4060483940 4395915222 4872580728 5861220296 6090725910 7326525370 8120967880 8791830444 10989788055 12181451820 14653050740 16851008351 17583660888 21979576110 24362903640 29306101480 33702016702 43959152220 50553025053 67404033404 84255041755 87918304440 101106050106 134808066808 168510083510 202212100212 252765125265 337020167020 404424200424 505530250530 674040334040 1011060501060 2022121002120