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20133111133102 = 211193161125920231
BaseRepresentation
bin1001001001111100110101…
…11011111111001110101110
32122021201002010112200120111
410210332122323333032232
510114330102422224402
6110453005031410234
74145366156003062
oct444763273771656
978251063480514
1020133111133102
11646244a402550
122311b2222397a
13b3070c8b0b16
144d863a9bbaa2
1524da95de19d7
hex124f9aeff3ae

20133111133102 has 128 divisors (see below), whose sum is σ = 36415269273600. Its totient is φ = 8245586160000.

The previous prime is 20133111133097. The next prime is 20133111133111.

20133111133102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995151327 + ... + 995171557.

It is an arithmetic number, because the mean of its divisors is an integer number (284494291200).

Almost surely, 220133111133102 is an apocalyptic number.

20133111133102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20133111133102 is a deficient number, since it is larger than the sum of its proper divisors (16282158140498).

20133111133102 is a wasteful number, since it uses less digits than its factorization.

20133111133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21614.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 2013311 and 1133102, that added together give a palindrome (3146413).

The spelling of 20133111133102 in words is "twenty trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 11 19 22 31 38 61 62 122 209 341 418 589 671 682 1159 1178 1259 1342 1891 2318 2518 3782 6479 12749 12958 13849 20231 20801 23921 25498 27698 35929 39029 40462 41602 47842 71858 76799 78058 153598 222541 263131 384389 395219 429319 445082 526262 627161 741551 768778 790438 844789 858638 1234091 1254322 1459181 1483102 1689578 2380769 2468182 2918362 4228279 4761538 6898771 8157061 8456558 11916059 13575001 13797542 16050991 16314122 23447729 23832118 25470829 26188459 27150002 32101982 38256821 45234611 46895458 50941658 52376918 76513642 90469222 131076649 257925019 262153298 280179119 420825031 483945751 497580721 515850038 560358238 726879599 789595699 841650062 967891502 995161442 1453759198 1553720569 1579191398 3107441138 5323403261 7995675589 8685552689 10646806522 15002318281 15991351178 17090926259 17371105378 29520690811 30004636562 34181852518 48165337639 59041381622 96330675278 165025501091 324727598921 330051002182 529818714029 649455197842 915141415141 1059637428058 1830282830282 10066555566551 20133111133102