Search a number
-
+
21122112002020 = 22523165229277903
BaseRepresentation
bin1001100110101110111111…
…11110111001011111100100
32202210020212022011100202021
410303113133332321133210
510232031041133031040
6112531210404352524
74310010424455421
oct463273776713744
982706768140667
1021122112002020
116803923633467
1224517346a5744
13ba2a64197673
1453045c2dcd48
1526967bbdb24a
hex1335dffb97e4

21122112002020 has 48 divisors (see below), whose sum is σ = 46285422543360. Its totient is φ = 8081425731456.

The previous prime is 21122112001957. The next prime is 21122112002053. The reversal of 21122112002020 is 2020021122112.

It is a happy number.

It is a super-2 number, since 2×211221120020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122112001985 and 21122112002003.

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, 75866389 + ... + 76144291.

It is an arithmetic number, because the mean of its divisors is an integer number (964279636320).

Almost surely, 221122112002020 is an apocalyptic number.

21122112002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122112002020 is an abundant number, since it is smaller than the sum of its proper divisors (25163310541340).

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

21122112002020 is a wasteful number, since it uses less digits than its factorization.

21122112002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443164 (or 443162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122112002020 its reverse (2020021122112), we get a palindrome (23142133124132).

The spelling of 21122112002020 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 165229 277903 330458 555806 660916 826145 1111612 1389515 1652290 2779030 3304580 3800267 5558060 6391769 7600534 12783538 15201068 19001335 25567076 31958845 38002670 63917690 76005340 127835380 45917634787 91835269574 183670539148 229588173935 459176347870 918352695740 1056105600101 2112211200202 4224422400404 5280528000505 10561056001010 21122112002020