Search a number
-
+
100002222102111 = 37223353180133589
BaseRepresentation
bin10110101111001110010100…
…111011001101011001011111
3111010002010012210121000022220
4112233032110323031121133
5101101414022324231421
6552404215302040423
730030631200534120
oct2657162473153137
9433063183530286
10100002222102111
11299557823623aa
12b271125a19113
1343a5227615774
141a9a1c1da4047
15b864499053c6
hex5af394ecd65f

100002222102111 has 64 divisors (see below), whose sum is σ = 153591099432960. Its totient is φ = 56693534515200.

The previous prime is 100002222102103. The next prime is 100002222102119. The reversal of 100002222102111 is 111201222200001.

It is an interprime number because it is at equal distance from previous prime (100002222102103) and next prime (100002222102119).

It is not a de Polignac number, because 100002222102111 - 23 = 100002222102103 is a prime.

It is a super-5 number, since 5×1000022221021115 (a number of 71 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002222102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2977214505 + ... + 2977248093.

It is an arithmetic number, because the mean of its divisors is an integer number (2399860928640).

Almost surely, 2100002222102111 is an apocalyptic number.

100002222102111 is a deficient number, since it is larger than the sum of its proper divisors (53588877330849).

100002222102111 is a wasteful number, since it uses less digits than its factorization.

100002222102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35976.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100002222102111 its reverse (111201222200001), we get a palindrome (211203444302112).

The spelling of 100002222102111 in words is "one hundred trillion, two billion, two hundred twenty-two million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 7 21 223 353 669 1059 1561 1801 2471 4683 5403 7413 12607 33589 37821 78719 100767 235123 236157 401623 551033 635753 705369 1204869 1653099 1907259 2811361 4450271 7490347 8434083 11856917 13350813 22471041 35570751 52432429 60493789 82998419 141772919 157297287 181481367 248995257 423456523 425318757 992410433 1270369569 2644092491 2977231299 7932277473 13490114947 18508647437 21354307517 40470344841 55525942311 64062922551 94430804629 149480152619 283292413887 448440457857 4762010576291 14286031728873 33334074034037 100002222102111