Search a number
-
+
2100022021120 = 21052411701911
BaseRepresentation
bin11110100011110011000…
…100010000110000000000
321102202112010220222111211
4132203303010100300000
5233401321114133440
64244423052015504
7304502334441052
oct36436304206000
97382463828454
102100022021120
1173a683757761
1229abb9161594
131230537b415a
14738da8038d2
153995e116eea
hex1e8f3110c00

2100022021120 has 88 divisors (see below), whose sum is σ = 5058497730528. Its totient is φ = 836522803200.

The previous prime is 2100022021037. The next prime is 2100022021147. The reversal of 2100022021120 is 211202200012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100022021120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382965 + ... + 2084875.

It is an arithmetic number, because the mean of its divisors is an integer number (57482928756).

Almost surely, 22100022021120 is an apocalyptic number.

2100022021120 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 2100022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529248865264).

2100022021120 is an abundant number, since it is smaller than the sum of its proper divisors (2958475709408).

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

2100022021120 is a wasteful number, since it uses less digits than its factorization.

2100022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702177 (or 1702159 counting only the distinct ones).

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

Adding to 2100022021120 its reverse (211202200012), we get a palindrome (2311224221132).

The spelling of 2100022021120 in words is "two trillion, one hundred billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 512 640 964 1024 1205 1280 1928 2410 2560 3856 4820 5120 7712 9640 15424 19280 30848 38560 61696 77120 123392 154240 246784 308480 616960 1233920 1701911 3403822 6807644 8509555 13615288 17019110 27230576 34038220 54461152 68076440 108922304 136152880 217844608 272305760 410160551 435689216 544611520 820321102 871378432 1089223040 1640642204 1742756864 2050802755 2178446080 3281284408 4101605510 4356892160 6562568816 8203211020 8713784320 13125137632 16406422040 26250275264 32812844080 52500550528 65625688160 105001101056 131251376320 210002202112 262502752640 420004404224 525005505280 1050011010560 2100022021120