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20100202020102 = 23378913110197621
BaseRepresentation
bin1001001000111111100010…
…11001101011110100000110
32122011120010122020112101110
410210133301121223310012
510113310203204120402
6110425523315105450
74143122513110161
oct444376131536406
978146118215343
1020100202020102
11644a4a20358a6
122307678ba2286
13b2a5969070a9
144d6bd8068ad8
1524ccbbbc856c
hex1247f166bd06

20100202020102 has 128 divisors (see below), whose sum is σ = 42116318323200. Its totient is φ = 6389417548800.

The previous prime is 20100202020061. The next prime is 20100202020127. The reversal of 20100202020102 is 20102020200102.

It is a super-2 number, since 2×201002020201022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2637471852 + ... + 2637479472.

It is an arithmetic number, because the mean of its divisors is an integer number (329033736900).

Almost surely, 220100202020102 is an apocalyptic number.

20100202020102 is an abundant number, since it is smaller than the sum of its proper divisors (22016116303098).

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

20100202020102 is a wasteful number, since it uses less digits than its factorization.

20100202020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20100202020102 its reverse (20102020200102), we get a palindrome (40202222220204).

It can be divided in two parts, 20100 and 202020102, that added together give a palindrome (202040202).

The spelling of 20100202020102 in words is "twenty trillion, one hundred billion, two hundred two million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 37 74 89 111 131 178 222 262 267 393 534 786 1019 2038 3057 3293 4847 6114 6586 7621 9694 9879 11659 14541 15242 19758 22863 23318 29082 34977 37703 45726 69954 75406 90691 113109 133489 181382 226218 266978 272073 281977 400467 431383 544146 563954 678269 800934 845931 862766 998351 1294149 1356538 1691862 1996702 2034807 2588298 2995053 3355567 4069614 4939093 5990106 6711134 7765799 9878186 10066701 11880521 14817279 15531598 20133402 23297397 23761042 25095953 29634558 35641563 36938987 46594794 50191906 71283126 73877974 75287859 88853239 110816961 150575718 177706478 221633922 266559717 287334563 439579277 533119434 574669126 691156111 862003689 879158554 1017319669 1318737831 1382312222 1724007378 2034639338 2073468333 2637475662 3051959007 3287569843 4146936666 6103918014 6575139686 9862709529 19725419058 25572776107 37640827753 51145552214 75281655506 76718328321 90541450541 112922483259 153436656642 181082901082 225844966518 271624351623 543248703246 3350033670017 6700067340034 10050101010051 20100202020102