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20330031011220 = 22325739474087901
BaseRepresentation
bin1001001111101011101000…
…10001101101010110010100
32122222112100211000222011200
410213311310101231112110
510131041400414324340
6111123253132032500
74165540056232650
oct447656421552624
978875324028150
1020330031011220
116528a10559577
12234411a302730
13b46162a44a68
14503d9b99ba60
15253c6dc47330
hex127d7446d594

20330031011220 has 144 divisors (see below), whose sum is σ = 70495314035328. Its totient is φ = 4645685779200.

The previous prime is 20330031011093. The next prime is 20330031011267. The reversal of 20330031011220 is 2211013003302.

20330031011220 is a `hidden beast` number, since 2 + 0 + 330 + 0 + 310 + 1 + 1 + 2 + 20 = 666.

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 = 20330031011193 and 20330031011202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2929270 + ... + 7017170.

It is an arithmetic number, because the mean of its divisors is an integer number (489550791912).

Almost surely, 220330031011220 is an apocalyptic number.

20330031011220 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 20330031011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35247657017664).

20330031011220 is an abundant number, since it is smaller than the sum of its proper divisors (50165283024108).

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

20330031011220 is a wasteful number, since it uses less digits than its factorization.

20330031011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091870 (or 4091865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20330031011220 its reverse (2211013003302), we get a palindrome (22541044014522).

The spelling of 20330031011220 in words is "twenty trillion, three hundred thirty billion, thirty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3947 7894 11841 15788 19735 23682 27629 35523 39470 47364 55258 59205 71046 78940 82887 110516 118410 138145 142092 165774 177615 236820 248661 276290 331548 355230 414435 497322 552580 710460 828870 994644 1243305 1657740 2486610 4087901 4973220 8175802 12263703 16351604 20439505 24527406 28615307 36791109 40879010 49054812 57230614 61318515 73582218 81758020 85845921 114461228 122637030 143076535 147164436 171691842 183955545 245274060 257537763 286153070 343383684 367911090 429229605 515075526 572306140 735822180 858459210 1030151052 1287688815 1716918420 2575377630 5150755260 16134945247 32269890494 48404835741 64539780988 80674726235 96809671482 112944616729 145214507223 161349452470 193619342964 225889233458 242024178705 290429014446 322698904940 338833850187 451778466916 484048357410 564723083645 580858028892 677667700374 726072536115 968096714820 1016501550561 1129446167290 1355335400748 1452145072230 1694169250935 2033003101122 2258892334580 2904290144460 3388338501870 4066006202244 5082507752805 6776677003740 10165015505610 20330031011220