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201022101220102 = 243731311375633169
BaseRepresentation
bin101101101101010000011010…
…111011110110101100000110
3222100202112011212101210101221
4231231100122323312230012
5202322021230403020402
61551312140045510554
760225240031325551
oct5555203273665406
9870675155353357
10201022101220102
1159062aa3559aa8
121a66751ab7245a
1388223c2359646
14378d743439698
1518390a5c7a337
hexb6d41aef6b06

201022101220102 has 128 divisors (see below), whose sum is σ = 318124439677440. Its totient is φ = 95188730757120.

The previous prime is 201022101220097. The next prime is 201022101220121.

It is a happy number.

201022101220102 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, 63433921174 + ... + 63433924342.

It is an arithmetic number, because the mean of its divisors is an integer number (2485347184980).

Almost surely, 2201022101220102 is an apocalyptic number.

201022101220102 is a deficient number, since it is larger than the sum of its proper divisors (117102338457338).

201022101220102 is a wasteful number, since it uses less digits than its factorization.

201022101220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 20102210 and 1220102, that added together give a palindrome (21322312).

The spelling of 201022101220102 in words is "two hundred one trillion, twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 43 73 86 131 137 146 262 274 563 1126 3139 3169 5633 5891 6278 6338 9563 10001 11266 11782 17947 19126 20002 24209 35894 41099 48418 73753 77131 82198 136267 147506 154262 231337 272534 411209 415139 430043 434153 462674 771721 822418 830278 860086 868306 1310131 1543442 1767257 1784147 2620262 3171379 3316633 3534514 3568294 5383969 5630563 6342758 6633266 9947491 10104161 10767938 11261126 17850977 18668579 19894982 20208322 30305147 31693169 35701954 37337158 56335633 56874043 60610294 63386338 76718321 112671266 113748086 130242731 153436642 231510667 233723257 242114209 244428139 260485462 434478923 463021334 467446514 484228418 488856278 737603753 868957846 1303121321 1362806267 1475207506 2445583849 2606242642 2725612534 4151805139 4891167698 5600437433 8303610278 10050100051 10510409977 11200874866 17061797761 17843254147 20100200102 21020819954 31716961379 32020086209 34123595522 35686508294 63433922758 64040172418 178527620977 357055241954 733657303723 767259928321 1376863706987 1467314607446 1534519856642 2337466293257 2753727413974 4674932586514 100511050610051 201022101220102