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20314244241302 = 211177310113753773
BaseRepresentation
bin1001001111001110001110…
…10011111101011110010110
32122221000121121102222001112
410213213013103331132112
510130312033011210202
6111112122430455022
74164440624011454
oct447470723753626
978830547388045
1020314244241302
11652224a312690
122341053364472
13b448181c899b
145033010939d4
15253647d20b52
hex1279c74fd796

20314244241302 has 128 divisors (see below), whose sum is σ = 36295963256448. Its totient is φ = 8424566784000.

The previous prime is 20314244241287. The next prime is 20314244241341.

It is a happy number.

20314244241302 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377750888 + ... + 377804660.

It is an arithmetic number, because the mean of its divisors is an integer number (283562212941).

Almost surely, 220314244241302 is an apocalyptic number.

20314244241302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20314244241302 is a deficient number, since it is larger than the sum of its proper divisors (15981719015146).

20314244241302 is a wasteful number, since it uses less digits than its factorization.

20314244241302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54114.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2031424 and 4241302, that added together give a palindrome (6272726).

The spelling of 20314244241302 in words is "twenty trillion, three hundred fourteen billion, two hundred forty-four million, two hundred forty-one thousand, three hundred two".

Divisors: 1 2 11 17 22 34 73 101 137 146 187 202 274 374 803 1111 1241 1507 1606 1717 2222 2329 2482 3014 3434 4658 7373 10001 13651 13837 14746 18887 20002 25619 27302 27674 37774 51238 53773 81103 107546 110011 125341 152207 162206 170017 220022 235229 250682 304414 340034 470458 591503 914141 1010101 1183006 1378751 1828282 1870187 2020202 2587519 2757502 3740374 3925429 5175038 5431073 7366901 7850858 10055551 10862146 11111111 14733802 17171717 20111102 22222222 34343434 43179719 59741803 66732293 81035911 86359438 92328241 119483606 125237317 133464586 162071822 184656482 188888887 250474634 377777774 396468329 537783773 734055223 744057001 792936658 1015610651 1075567546 1377610487 1468110446 1488114002 2031221302 2755220974 4361151619 5915621503 6739961593 8184627011 8722303238 9142324141 11831243006 12648969017 13479923186 16369254022 18284648282 25297938034 54316161073 74139577523 100565565551 108632322146 139138659187 148279155046 201131131102 278277318374 597477771803 923374738241 1194955543606 1846749476482 10157122120651 20314244241302