Search a number
-
+
21003311220120 = 233456482503463
BaseRepresentation
bin1001100011010001101101…
…11001111000010110011000
32202100220012212112100020000
410301220312321320112120
510223104240133020440
6112400442111333000
74265303426463615
oct461506671702630
982326185470200
1021003311220120
1167684aa6a0689
1224326ba521160
13b947b058c908
145287cc36150c
15266527169730
hex131a36e78598

21003311220120 has 80 divisors (see below), whose sum is σ = 70594462722960. Its totient is φ = 5600882991168.

The previous prime is 21003311220043. The next prime is 21003311220169. The reversal of 21003311220120 is 2102211330012.

21003311220120 is a `hidden beast` number, since 2 + 10 + 0 + 3 + 311 + 220 + 120 = 666.

It is a super-2 number, since 2×210033112201202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21003311220093 and 21003311220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3241248492 + ... + 3241254971.

It is an arithmetic number, because the mean of its divisors is an integer number (882430784037).

Almost surely, 221003311220120 is an apocalyptic number.

21003311220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003311220120 is an abundant number, since it is smaller than the sum of its proper divisors (49591151502840).

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

21003311220120 is a wasteful number, since it uses less digits than its factorization.

21003311220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482503486 (or 6482503473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21003311220120 its reverse (2102211330012), we get a palindrome (23105522550132).

The spelling of 21003311220120 in words is "twenty-one trillion, three billion, three hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6482503463 12965006926 19447510389 25930013852 32412517315 38895020778 51860027704 58342531167 64825034630 77790041556 97237551945 116685062334 129650069260 155580083112 175027593501 194475103890 233370124668 259300138520 291712655835 350055187002 388950207780 466740249336 525082780503 583425311670 700110374004 777900415560 875137967505 1050165561006 1166850623340 1400220748008 1750275935010 2100331122012 2333701246680 2625413902515 3500551870020 4200662244024 5250827805030 7001103740040 10501655610060 21003311220120