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20103300133320 = 23353311310938609
BaseRepresentation
bin1001001001000101010100…
…00100000011000111001000
32122011212010112212222202110
410210202222010003013020
510113333024313231240
6110431154550302320
74143262342456215
oct444425204030710
978155115788673
1020103300133320
116450841919148
1223081a26579a0
13b2a96b721391
144d700d6d0b0c
1524cdedb9cc80
hex1248aa1031c8

20103300133320 has 128 divisors (see below), whose sum is σ = 60498286992000. Its totient is φ = 5344137891840.

The previous prime is 20103300133283. The next prime is 20103300133321. The reversal of 20103300133320 is 2333100330102.

It is not an unprimeable number, because it can be changed into a prime (20103300133321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520670176 + ... + 520708784.

It is an arithmetic number, because the mean of its divisors is an integer number (472642867125).

Almost surely, 220103300133320 is an apocalyptic number.

20103300133320 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 20103300133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249143496000).

20103300133320 is an abundant number, since it is smaller than the sum of its proper divisors (40394986858680).

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

20103300133320 is a wasteful number, since it uses less digits than its factorization.

20103300133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52063 (or 52059 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20103300133320 its reverse (2333100330102), we get a palindrome (22436400463422).

The spelling of 20103300133320 in words is "twenty trillion, one hundred three billion, three hundred million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13109 13240 19860 26218 38609 39327 39720 52436 65545 77218 78654 104872 115827 131090 154436 157308 193045 196635 231654 262180 308872 314616 386090 393270 463308 524360 579135 772180 786540 926616 1158270 1544360 1573080 2316540 4339079 4633080 8678158 12779579 13017237 17356316 21695395 25559158 26034474 34712632 38338737 43390790 51118316 52068948 63897895 65086185 76677474 86781580 102236632 104137896 127795790 130172370 153354948 173563160 191693685 255591580 260344740 306709896 383387370 506125381 511183160 520689480 766774740 1012250762 1518376143 1533549480 2024501524 2530626905 3036752286 4049003048 5061253810 6073504572 7591880715 10122507620 12147009144 15183761430 20245015240 30367522860 60735045720 167527501111 335055002222 502582503333 670110004444 837637505555 1005165006666 1340220008888 1675275011110 2010330013332 2512912516665 3350550022220 4020660026664 5025825033330 6701100044440 10051650066660 20103300133320