Search a number
-
+
2101220020020 = 22351123391361123
BaseRepresentation
bin11110100100111010011…
…110010000111100110100
321102212121122011122001110
4132210322132100330310
5233411244311120040
64245142005155020
7304544122323162
oct36447236207464
97385548148043
102101220020020
11740138a16aa0
1229b2923bba70
131231b4a57844
14739b1972232
15399ce3a9980
hex1e93a790f34

2101220020020 has 96 divisors (see below), whose sum is σ = 6421020802560. Its totient is φ = 509168517760.

The previous prime is 2101220019991. The next prime is 2101220020051. The reversal of 2101220020020 is 200200221012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101220019978 and 2101220020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863179 + ... + 2224301.

It is an arithmetic number, because the mean of its divisors is an integer number (66885633360).

Almost surely, 22101220020020 is an apocalyptic number.

2101220020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101220020020 is an abundant number, since it is smaller than the sum of its proper divisors (4319800782540).

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

2101220020020 is a wasteful number, since it uses less digits than its factorization.

2101220020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363485 (or 1363483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2101220020020 its reverse (200200221012), we get a palindrome (2301420241032).

The spelling of 2101220020020 in words is "two trillion, one hundred one billion, two hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2339 4678 7017 9356 11695 14034 23390 25729 28068 35085 46780 51458 70170 77187 102916 128645 140340 154374 257290 308748 385935 514580 771870 1361123 1543740 2722246 4083369 5444492 6805615 8166738 13611230 14972353 16333476 20416845 27222460 29944706 40833690 44917059 59889412 74861765 81667380 89834118 149723530 179668236 224585295 299447060 449170590 898341180 3183666697 6367333394 9551000091 12734666788 15918333485 19102000182 31836666970 35020333667 38204000364 47755000455 63673333940 70040667334 95510000910 105061001001 140081334668 175101668335 191020001820 210122002002 350203336670 420244004004 525305005005 700406673340 1050610010010 2101220020020