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20203101631104 = 27378578770169
BaseRepresentation
bin1001001011111111001101…
…01100100011001010000000
32122112101201220000101011020
410211333212230203022000
510122001423004143404
6110545102102545440
74153424456266110
oct445774654431200
978471656011136
1020203101631104
11648a0a61a4627
1223235b5a38280
13b371b507c492
144dbb9a23d040
152507e0776ed9
hex125fe6b23280

20203101631104 has 128 divisors (see below), whose sum is σ = 61402415817600. Its totient is φ = 5765578604544.

The previous prime is 20203101631103. The next prime is 20203101631121. The reversal of 20203101631104 is 40113610130202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20203101631103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2081469 + ... + 6688700.

It is an arithmetic number, because the mean of its divisors is an integer number (479706373575).

Almost surely, 220203101631104 is an apocalyptic number.

20203101631104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20203101631104 is an abundant number, since it is smaller than the sum of its proper divisors (41199314186496).

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

20203101631104 is an equidigital number, since it uses as much as digits as its factorization.

20203101631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771050 (or 8771038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 20203101631104 its reverse (40113610130202), we get a palindrome (60316711761306).

The spelling of 20203101631104 in words is "twenty trillion, two hundred three billion, one hundred one million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 857 896 1344 1714 2571 2688 3428 5142 5999 6856 10284 11998 13712 17997 20568 23996 27424 35994 41136 47992 54848 71988 82272 95984 109696 143976 164544 191968 287952 329088 383936 575904 767872 1151808 2303616 8770169 17540338 26310507 35080676 52621014 61391183 70161352 105242028 122782366 140322704 184173549 210484056 245564732 280645408 368347098 420968112 491129464 561290816 736694196 841936224 982258928 1122581632 1473388392 1683872448 1964517856 2946776784 3367744896 3929035712 5893553568 7516034833 7858071424 11787107136 15032069666 22548104499 23574214272 30064139332 45096208998 52612243831 60128278664 90192417996 105224487662 120256557328 157836731493 180384835992 210448975324 240513114656 315673462986 360769671984 420897950648 481026229312 631346925972 721539343968 841795901296 962052458624 1262693851944 1443078687936 1683591802592 2525387703888 2886157375872 3367183605184 5050775407776 6734367210368 10101550815552 20203101631104