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20102100120102 = 23711133790459541
BaseRepresentation
bin1001001001000011000101…
…00010010111001000100110
32122011202000220212000002110
410210201202202113020212
510113323100112320402
6110430435522021450
74143220531514340
oct444414242271046
978152026760073
1020102100120102
116450286503490
122307b087a7886
13b2a809c23ba0
144d6d3819a290
1524cd7d65d56c
hex124862897226

20102100120102 has 128 divisors (see below), whose sum is σ = 55439396748288. Its totient is φ = 4689422553600.

The previous prime is 20102100120041. The next prime is 20102100120103.

20102100120102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102100120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45007549 + ... + 45451992.

It is an arithmetic number, because the mean of its divisors is an integer number (433120287096).

Almost surely, 220102100120102 is an apocalyptic number.

20102100120102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20102100120102 is an abundant number, since it is smaller than the sum of its proper divisors (35337296628186).

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

20102100120102 is a wasteful number, since it uses less digits than its factorization.

20102100120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90459614.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 20102100 and 120102, that added together give a palindrome (20222202).

The spelling of 20102100120102 in words is "twenty trillion, one hundred two billion, one hundred million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 90459541 180919082 271378623 542757246 633216787 995054951 1175974033 1266433574 1899650361 1990109902 2351948066 2985164853 3347003017 3527922099 3799300722 5970329706 6694006034 6965384657 7055844198 8231818231 10041009051 12935714363 13930769314 16463636462 20082018102 20896153971 23429021119 24695454693 25871428726 36817033187 38807143089 41792307942 43511039221 46858042238 49390909386 70287063357 73634066374 77614286178 87022078442 90550000541 110451099561 130533117663 140574126714 181100001082 220902199122 257719232309 261066235326 271650001623 304577274547 478621431431 515438464618 543300003246 609154549094 773157696927 913731823641 957242862862 1435864294293 1546315393854 1827463647282 2871728588586 3350350020017 6700700040034 10051050060051 20102100120102