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2022100021120 = 275103167183683
BaseRepresentation
bin11101011011001110100…
…011011010111110000000
321011022101121221020121211
4131123032203122332000
5231112230101133440
64144535005055504
7266043344404354
oct35331643327600
97138347836554
102022100021120
1170a627822853
12287a91257594
131188b603664a
146dc27a29464
15378ed2b6eea
hex1d6ce8daf80

2022100021120 has 128 divisors (see below), whose sum is σ = 4910270077440. Its totient is φ = 796186527744.

The previous prime is 2022100021099. The next prime is 2022100021147. The reversal of 2022100021120 is 211200012202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2022100021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10916799 + ... + 11100481.

It is an arithmetic number, because the mean of its divisors is an integer number (38361484980).

Almost surely, 22022100021120 is an apocalyptic number.

2022100021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455135038720).

2022100021120 is an abundant number, since it is smaller than the sum of its proper divisors (2888170056320).

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

2022100021120 is a wasteful number, since it uses less digits than its factorization.

2022100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183972 (or 183960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2022100021120 its reverse (211200012202), we get a palindrome (2233300033322).

The spelling of 2022100021120 in words is "two trillion, twenty-two billion, one hundred million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 167 206 320 334 412 515 640 668 824 835 1030 1336 1648 1670 2060 2672 3296 3340 4120 5344 6592 6680 8240 10688 13184 13360 16480 17201 21376 26720 32960 34402 53440 65920 68804 86005 106880 137608 172010 183683 275216 344020 367366 550432 688040 734732 918415 1100864 1376080 1469464 1836830 2201728 2752160 2938928 3673660 5504320 5877856 7347320 11008640 11755712 14694640 18919349 23511424 29389280 30675061 37838698 58778560 61350122 75677396 94596745 117557120 122700244 151354792 153375305 189193490 245400488 302709584 306750610 378386980 490800976 605419168 613501220 756773960 981601952 1210838336 1227002440 1513547920 1963203904 2421676672 2454004880 3027095840 3159531283 3926407808 4908009760 6054191680 6319062566 9816019520 12108383360 12638125132 15797656415 19632039040 25276250264 31595312830 50552500528 63190625660 101105001056 126381251320 202210002112 252762502640 404420004224 505525005280 1011050010560 2022100021120