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2121210020020 = 2257132547163901
BaseRepresentation
bin11110110111100001111…
…110000100000010110100
321111210012202212211212211
4132313201332010002310
5234223214231120040
64302245340223204
7306152363450440
oct36674176040264
97453182784784
102121210020020
11748666835953
122a3130b3ab04
1312504c340900
147494a7b3820
153a29e2ec8ea
hex1ede1f840b4

2121210020020 has 144 divisors (see below), whose sum is σ = 5522747384448. Its totient is φ = 670096627200.

The previous prime is 2121210020003. The next prime is 2121210020021. The reversal of 2121210020020 is 200200121212.

It is a happy number.

It is a super-3 number, since 3×21212100200203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121210020021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12860070 + ... + 13023970.

It is an arithmetic number, because the mean of its divisors is an integer number (38352412392).

Almost surely, 22121210020020 is an apocalyptic number.

2121210020020 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 2121210020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761373692224).

2121210020020 is an abundant number, since it is smaller than the sum of its proper divisors (3401537364428).

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

2121210020020 is a wasteful number, since it uses less digits than its factorization.

2121210020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164490 (or 164475 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2121210020020 its reverse (200200121212), we get a palindrome (2321410141232).

The spelling of 2121210020020 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 547 676 845 910 1094 1183 1690 1820 2188 2366 2735 3380 3829 4732 5470 5915 7111 7658 10940 11830 14222 15316 19145 23660 28444 35555 38290 49777 71110 76580 92443 99554 142220 163901 184886 199108 248885 327802 369772 462215 497770 647101 655604 819505 924430 995540 1147307 1294202 1639010 1848860 2130713 2294614 2588404 3235505 3278020 4261426 4589228 5736535 6471010 8522852 10653565 11473070 12942020 14914991 21307130 22946140 27699269 29829982 42614260 55398538 59659964 74574955 89653847 110797076 138496345 149149910 179307694 193894883 276992690 298299820 358615388 387789766 448269235 553985380 627576929 775579532 896538470 969474415 1165500011 1255153858 1793076940 1938948830 2331000022 2510307716 3137884645 3877897660 4662000044 5827500055 6275769290 8158500077 11655000110 12551538580 15151500143 16317000154 23310000220 30303000286 32634000308 40792500385 60606000572 75757500715 81585000770 106060501001 151515001430 163170001540 212121002002 303030002860 424242004004 530302505005 1060605010010 2121210020020