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2010202020102 = 2329739713711909
BaseRepresentation
bin11101010000001001011…
…000001001100100000110
321010011200102202011120110
4131100021120021210012
5230413343204120402
64135250221413450
7265142452146633
oct35201130114406
97104612664513
102010202020102
117055816a8561
1228571070a286
1311773b065463
146d41979d18a
153745399356c
hex1d409609906

2010202020102 has 128 divisors (see below), whose sum is σ = 4290927177600. Its totient is φ = 626858459136.

The previous prime is 2010202020059. The next prime is 2010202020103.

2010202020102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20102020201022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010202020103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168790924 + ... + 168802832.

It is an arithmetic number, because the mean of its divisors is an integer number (33522868575).

Almost surely, 22010202020102 is an apocalyptic number.

2010202020102 is an abundant number, since it is smaller than the sum of its proper divisors (2280725157498).

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

2010202020102 is a wasteful number, since it uses less digits than its factorization.

2010202020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12250.

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

The spelling of 2010202020102 in words is "two trillion, ten billion, two hundred two million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 29 58 73 87 97 137 146 174 194 219 274 291 411 438 582 822 2117 2813 3973 4234 5626 6351 7081 7946 8439 10001 11909 11919 12702 13289 14162 16878 20002 21243 23818 23838 26578 30003 35727 39867 42486 60006 71454 79734 205349 290029 345361 385381 410698 580058 616047 690722 770762 869357 870087 970097 1036083 1155173 1156143 1232094 1631533 1738714 1740174 1940194 2072166 2310346 2312286 2608071 2910291 3263066 3465519 4894599 5216142 5820582 6931038 9789198 25211353 28132813 33500017 47314457 50422706 56265626 67000034 75634059 84327629 84398439 94628914 100500051 119101909 141943371 151268118 158258701 168655258 168796878 201000102 238203818 252982887 283886742 316517402 357305727 474776103 505965774 714611454 949552206 2445501241 3453955361 4589502329 4891002482 6907910722 7336503723 9179004658 10361866083 11552885173 13768506987 14673007446 20723732166 23105770346 27537013974 34658655519 69317311038 335033670017 670067340034 1005101010051 2010202020102