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2022102201120 = 25354326197379
BaseRepresentation
bin11101011011001110101…
…011101111001100100000
321011022101210001000000120
4131123032223233030200
5231112231130413440
64144535123520240
7266043402054141
oct35331653571440
97138353030016
102022102201120
1170a628a81701
12287a91b29080
131188b661a9a1
146dc28035ac8
15378ed597dd0
hex1d6ceaef320

2022102201120 has 96 divisors (see below), whose sum is σ = 6369834582720. Its totient is φ = 539209251840.

The previous prime is 2022102201113. The next prime is 2022102201131. The reversal of 2022102201120 is 211022012202.

It is a tau number, because it is divible by the number of its divisors (96).

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 2022102201120.

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 15 ways as a sum of consecutive naturals, for example, 20716591 + ... + 20813969.

It is an arithmetic number, because the mean of its divisors is an integer number (66352443570).

Almost surely, 22022102201120 is an apocalyptic number.

2022102201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022102201120 is an abundant number, since it is smaller than the sum of its proper divisors (4347732381600).

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

2022102201120 is a wasteful number, since it uses less digits than its factorization.

2022102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140658 (or 140650 counting only the distinct ones).

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

Adding to 2022102201120 its reverse (211022012202), we get a palindrome (2233124213322).

It can be divided in two parts, 2022102 and 201120, that added together give a palindrome (2223222).

The spelling of 2022102201120 in words is "two trillion, twenty-two billion, one hundred two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 43261 86522 97379 129783 173044 194758 216305 259566 292137 346088 389516 432610 486895 519132 584274 648915 692176 779032 865220 973790 1038264 1168548 1297830 1384352 1460685 1558064 1730440 1947580 2076528 2337096 2595660 2921370 3116128 3460880 3895160 4153056 4674192 5191320 5842740 6921760 7790320 9348384 10382640 11685480 15580640 20765280 23370960 46741920 4212712919 8425425838 12638138757 16850851676 21063564595 25276277514 33701703352 42127129190 50552555028 63190693785 67403406704 84254258380 101105110056 126381387570 134806813408 168508516760 202210220112 252762775140 337017033520 404420440224 505525550280 674034067040 1011051100560 2022102201120