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1021200100011 = 327133724571993
BaseRepresentation
bin11101101110001000100…
…01001110101010101011
310121121220012011002110100
432313010101032222223
5113212404211200021
62101044410120443
7133531201425540
oct16670421165253
93547805132410
101021200100011
113640a7919903
12145ab9a20123
13753b64a1310
14375d7c86bc7
151b86ca3c626
hexedc444eaab

1021200100011 has 144 divisors (see below), whose sum is σ = 1870880741184. Its totient is φ = 522687541248.

The previous prime is 1021200100009. The next prime is 1021200100021. The reversal of 1021200100011 is 1100010021201.

It is a happy number.

It is not a de Polignac number, because 1021200100011 - 21 = 1021200100009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021200099966 and 1021200100002.

It is not an unprimeable number, because it can be changed into a prime (1021200100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 512392431 + ... + 512394423.

Almost surely, 21021200100011 is an apocalyptic number.

1021200100011 is a deficient number, since it is larger than the sum of its proper divisors (849680641173).

1021200100011 is a wasteful number, since it uses less digits than its factorization.

1021200100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021200100011 its reverse (1100010021201), we get a palindrome (2121210121212).

It can be divided in two parts, 1021200 and 100011, that added together give a palindrome (1121211).

The spelling of 1021200100011 in words is "one trillion, twenty-one billion, two hundred million, one hundred thousand, eleven".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 457 481 777 819 1369 1371 1443 1993 2331 3199 3367 4107 4113 4329 5941 5979 9583 9597 10101 12321 13951 16909 17797 17823 17937 25909 28749 28791 30303 41587 41853 50727 53391 53469 73741 77727 86247 118363 124579 124761 125559 152181 160173 181363 219817 221223 233181 355089 373737 374283 516187 544089 625633 659451 663669 910801 958633 1065267 1121211 1538719 1548561 1632267 1876899 1978353 2728417 2732403 2875899 4379431 4616157 4645683 5630697 6375607 6710431 8133229 8185251 8197209 8627697 11840413 13138293 13848471 19098919 19126821 20131293 24399687 24555753 33699637 35469421 35521239 39414879 56932603 57296757 57380463 60393879 73199061 82882891 101098911 106408263 106563717 170797809 171890271 235897459 248285947 248648673 303296733 319224789 438095281 512393427 707692377 744857841 745946019 1246886569 1314285843 2123077131 2234573523 3066666967 3740659707 3942857529 8728205983 9200000901 11221979121 16209525397 26184617949 27600002703 48628576191 78553853847 113466677779 145885728573 340400033337 1021200100011