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20011220111022 = 23717531493549059
BaseRepresentation
bin1001000110011001110011…
…01010101000111010101110
32121212001110100002012110020
410203030321222220322232
510110330434322023042
6110321005544023010
74133522455262550
oct443147152507256
977761410065406
1020011220111022
116415790074568
1222b2385161a66
13b220859b749a
144d27964674d0
1524a80ee033ec
hex123339aa8eae

20011220111022 has 128 divisors (see below), whose sum is σ = 49675483008000. Its totient is φ = 5244201670656.

The previous prime is 20011220111011. The next prime is 20011220111081. The reversal of 20011220111022 is 22011102211002.

It is a junction number, because it is equal to n+sod(n) for n = 20011220110992 and 20011220111010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3863929 + ... + 7412987.

It is an arithmetic number, because the mean of its divisors is an integer number (388089711000).

Almost surely, 220011220111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011220111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837741504000).

20011220111022 is an abundant number, since it is smaller than the sum of its proper divisors (29664262896978).

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

20011220111022 is a wasteful number, since it uses less digits than its factorization.

20011220111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549290.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20011220111022 its reverse (22011102211002), we get a palindrome (42022322322024).

The spelling of 20011220111022 in words is "twenty trillion, eleven billion, two hundred twenty million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 149 159 238 298 318 357 371 447 714 742 894 901 1043 1113 1802 2086 2226 2533 2703 3129 5066 5406 6258 6307 7599 7897 12614 15198 15794 17731 18921 23691 35462 37842 47382 53193 55279 106386 110558 134249 165837 268498 331674 402747 805494 939743 1879486 2819229 3549059 5638458 7098118 10647177 21294354 24843413 49686826 60334003 74530239 120668006 149060478 181002009 188100127 362004018 376200254 422338021 528809791 564300381 844676042 1057619582 1128600762 1267014063 1316700889 1586429373 2534028126 2633401778 3172858746 3197702159 3701668537 3950102667 6395404318 7403337074 7900205334 8989766447 9593106477 11105005611 17979532894 19186212954 22210011222 22383915113 26969299341 28026918923 44767830226 53938598682 56053837846 62928365129 67151745339 84080756769 125856730258 134303490678 168161513538 188785095387 196188432461 377570190774 392376864922 476457621691 588565297383 952915243382 1177130594766 1429372865073 2858745730146 3335203351837 6670406703674 10005610055511 20011220111022