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101303332221 = 371341431091931
BaseRepresentation
bin101111001011000100…
…1100010110101111101
3100200111000002110221110
41132112021202311331
53124432123112341
6114312121552233
710214251054620
oct1362611426575
9320430073843
10101303332221
1139a650a9973
1217772345679
139725843340
144c901abdb7
15297d887216
hex1796262d7d

101303332221 has 128 divisors (see below), whose sum is σ = 175946158080. Its totient is φ = 50425804800.

The previous prime is 101303332201. The next prime is 101303332223. The reversal of 101303332221 is 122233303101.

It is not a de Polignac number, because 101303332221 - 210 = 101303331197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303332223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52460626 + ... + 52462556.

It is an arithmetic number, because the mean of its divisors is an integer number (1374579360).

Almost surely, 2101303332221 is an apocalyptic number.

It is an amenable number.

101303332221 is a deficient number, since it is larger than the sum of its proper divisors (74642825859).

101303332221 is a wasteful number, since it uses less digits than its factorization.

101303332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101303332221 its reverse (122233303101), we get a palindrome (223536635322).

The spelling of 101303332221 in words is "one hundred one billion, three hundred three million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 13 21 39 41 43 91 109 123 129 273 287 301 327 533 559 763 861 903 1417 1599 1677 1763 1931 2289 3731 3913 4251 4469 4687 5289 5793 9919 11193 11739 12341 13407 13517 14061 22919 25103 29757 31283 32809 37023 40551 58097 60931 68757 75309 79171 83033 93849 98427 160433 174291 175721 182793 192167 210479 237513 249099 406679 426517 481299 527163 554197 576501 581231 631437 1029223 1079429 1220037 1279551 1345169 1473353 1662591 1743693 2498171 2736227 3087669 3238287 3404353 4035507 4420059 7204561 7494513 7556003 8208681 8629639 9050597 10213059 17487197 19153589 21613683 22668009 23830471 25888917 27151791 44256589 52461591 57460767 60407473 63354179 71491413 112185307 117657761 132769767 181222419 190062537 309796123 336555921 352973283 371074477 785297149 823604327 929388369 1113223431 2355891447 2470812981 2597521339 4823968201 7792564017 14471904603 33767777407 101303332221