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20102221001184 = 253758441511867
BaseRepresentation
bin1001001001000011010011…
…01111011111000111100000
32122011202100100022101202120
410210201221233133013200
510113323322034014214
6110430455520544240
74143223530135330
oct444415157370740
978152310271676
1020102221001184
116450338767203
122307b41182080
13b2a828c98b5a
144d6d4a2650c0
1524cd89089ea9
hex124869bdf1e0

20102221001184 has 96 divisors (see below), whose sum is σ = 60307812746496. Its totient is φ = 5743382215680.

The previous prime is 20102221001183. The next prime is 20102221001237. The reversal of 20102221001184 is 48110012220102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102221001183) 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, 39016419 + ... + 39528285.

It is an arithmetic number, because the mean of its divisors is an integer number (628206382776).

Almost surely, 220102221001184 is an apocalyptic number.

20102221001184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20102221001184 is an abundant number, since it is smaller than the sum of its proper divisors (40205591745312).

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

20102221001184 is a wasteful number, since it uses less digits than its factorization.

20102221001184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570328 (or 570320 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 20102221001184 its reverse (48110012220102), we get a palindrome (68212233221286).

The spelling of 20102221001184 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 58441 116882 175323 233764 350646 409087 467528 511867 701292 818174 935056 1023734 1227261 1402584 1535601 1636348 1870112 2047468 2454522 2805168 3071202 3272696 3583069 4094936 4909044 5610336 6142404 6545392 7166138 8189872 9818088 10749207 12284808 13090784 14332276 16379744 19636176 21498414 24569616 28664552 39272352 42996828 49139232 57329104 85993656 114658208 171987312 343974624 29914019347 59828038694 89742058041 119656077388 179484116082 209398135429 239312154776 358968232164 418796270858 478624309552 628194406287 717936464328 837592541716 957248619104 1256388812574 1435872928656 1675185083432 2512777625148 2871745857312 3350370166864 5025555250296 6700740333728 10051110500592 20102221001184