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21022122020120 = 235131032699145423
BaseRepresentation
bin1001100011110100110000…
…00111011000110100011000
32202102200202211100222202022
410301322120013120310120
510223411301214120440
6112413232440154012
74266540531603254
oct461723007306430
982380684328668
1021022122020120
116775482920091
12243628a168908
13b964ba784ac0
14529694729264
15266c787cecb5
hex131e981d8d18

21022122020120 has 128 divisors (see below), whose sum is σ = 51452174592000. Its totient is φ = 7683754120704.

The previous prime is 21022122020071. The next prime is 21022122020171. The reversal of 21022122020120 is 2102022122012.

It is a happy number.

It is a super-2 number, since 2×210221220201202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144485729 + ... + 144631151.

It is an arithmetic number, because the mean of its divisors is an integer number (401970114000).

Almost surely, 221022122020120 is an apocalyptic number.

21022122020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022122020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25726087296000).

21022122020120 is an abundant number, since it is smaller than the sum of its proper divisors (30430052571880).

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

21022122020120 is a wasteful number, since it uses less digits than its factorization.

21022122020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148249 (or 148245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21022122020120 its reverse (2102022122012), we get a palindrome (23124144142132).

The spelling of 21022122020120 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 824 1030 1339 2060 2678 2699 4120 5356 5398 6695 10712 10796 13390 13495 21592 26780 26990 35087 53560 53980 70174 107960 140348 145423 175435 277997 280696 290846 350870 555994 581692 701740 727115 1111988 1163384 1389985 1403480 1454230 1890499 2223976 2779970 2908460 3613961 3780998 5559940 5816920 7227922 7561996 9452495 11119880 14455844 14978569 15123992 18069805 18904990 28911688 29957138 36139610 37809980 59914276 72279220 74892845 75619960 119828552 144558440 149785690 194721397 299571380 389442794 392496677 599142760 778885588 784993354 973606985 1557771176 1569986708 1947213970 1962483385 3139973416 3894427940 3924966770 5102456801 7788855880 7849933540 10204913602 15699867080 20409827204 25512284005 40427157731 40819654408 51024568010 80854315462 102049136020 161708630924 202135788655 204098272040 323417261848 404271577310 525553050503 808543154620 1051106101006 1617086309240 2102212202012 2627765252515 4204424404024 5255530505030 10511061010060 21022122020120